CA2350687A1 - A high definition volumetric display system - Google Patents

A high definition volumetric display system Download PDF

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Publication number
CA2350687A1
CA2350687A1 CA002350687A CA2350687A CA2350687A1 CA 2350687 A1 CA2350687 A1 CA 2350687A1 CA 002350687 A CA002350687 A CA 002350687A CA 2350687 A CA2350687 A CA 2350687A CA 2350687 A1 CA2350687 A1 CA 2350687A1
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Prior art keywords
display
optical sources
support structure
optical
rotation
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Abandoned
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French (fr)
Inventor
Barry George Blundell
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UNITED SYNDICATE INSURANCE Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/10Constructive solid geometry [CSG] using solid primitives, e.g. cylinders, cubes
    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09GARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
    • G09G3/00Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes
    • G09G3/005Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes forming an image using a quickly moving array of imaging elements, causing the human eye to perceive an image which has a larger resolution than the array, e.g. an image on a cylinder formed by a rotating line of LEDs parallel to the axis of rotation
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B30/00Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images
    • G02B30/50Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images the image being built up from image elements distributed over a 3D volume, e.g. voxels
    • G02B30/54Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images the image being built up from image elements distributed over a 3D volume, e.g. voxels the 3D volume being generated by moving a 2D surface, e.g. by vibrating or rotating the 2D surface
    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09FDISPLAYING; ADVERTISING; SIGNS; LABELS OR NAME-PLATES; SEALS
    • G09F9/00Indicating arrangements for variable information in which the information is built-up on a support by selection or combination of individual elements
    • G09F9/30Indicating arrangements for variable information in which the information is built-up on a support by selection or combination of individual elements in which the desired character or characters are formed by combining individual elements
    • G09F9/33Indicating arrangements for variable information in which the information is built-up on a support by selection or combination of individual elements in which the desired character or characters are formed by combining individual elements being semiconductor devices, e.g. diodes
    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09GARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
    • G09G3/00Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes
    • G09G3/001Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes using specific devices not provided for in groups G09G3/02 - G09G3/36, e.g. using an intermediate record carrier such as a film slide; Projection systems; Display of non-alphanumerical information, solely or in combination with alphanumerical information, e.g. digital display on projected diapositive as background
    • G09G3/003Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes using specific devices not provided for in groups G09G3/02 - G09G3/36, e.g. using an intermediate record carrier such as a film slide; Projection systems; Display of non-alphanumerical information, solely or in combination with alphanumerical information, e.g. digital display on projected diapositive as background to produce spatial visual effects

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Geometry (AREA)
  • Computer Hardware Design (AREA)
  • Optics & Photonics (AREA)
  • Computer Graphics (AREA)
  • Software Systems (AREA)
  • Control Of Indicators Other Than Cathode Ray Tubes (AREA)
  • Testing, Inspecting, Measuring Of Stereoscopic Televisions And Televisions (AREA)
  • Devices For Indicating Variable Information By Combining Individual Elements (AREA)

Abstract

A three-dimensional display system is described. An arrangement of optical emitters within the display is arranged so that they provide an isotropically distributed array of light emitting sources within the display volume. The display incorporates a solid optically transparent support structure which contains the optical sources and is rotated to provide an appropriately shaped display volume. The optical sources may be illuminated within the display volume in such a manner that a three-dimensional image is generated inside the display volume. In one embodiment, the optical sources are laid out on planes perpendicular to the axis of rotation of a support structure whereby for any single plane, the optical sources are located relative to one another on corresponding tracks so that the optical sources form a spiral when viewed along the axis of rotation. The planes may be arranged on top of one another and sequentially displaced around the axis of rotation so that the optical sources lie on the surface of a helix. The optical sources may be light emitting diodes or similar optoelectronic devices. The optical sources may be driven by means of parallel data which is multiplexed where the degree of serial/parallel mixing is controllable and dependent upon matching the display to the control electronics. Suitable applications include medical and similar imaging, traffic control and other applications where a three-dimensional representation of a particular image may be required.

Description

' ' :~ccGived 07 September 2000 ~., A Hi4h Definition Volumetric Display System (Courcelle) Field of the Invention The present invention relates to three-dimensional display systems. More particularly, although not exclusively, the present invention relates to volumetric three-dimensional display devices suitable for use in applications which include medical imaging, computer l0 aided design and molecular modelling. Such uses require high definition, high quality three-dimensional images as well as image quality which is substantially invariant with viewing direction.
The methods and apparatus discussed herein permit large numbers of voxels to be I S illuminated during each image refresh period. This enables image objects and scenes to be depicted at high resolutions and therefore represents a considerable advance over existing volumetric display systems. Further, the system described herein minimises variations of image quality with viewing direction.
20 Background to the Invention The present invention relates to volumetric three-dimensional image generation. In such systems, image objects and scenes are depicted within a physical three-dimensional volume (display space).
At the present time, there are a relatively large number of ways in which volumetric three-dimensional display devices may be implemented. A fundamental difference in the various implementations resides in the method by which the physical volume (display space) is generated. Some systems use the rotational motion of a planar, helical or other surface ~nnErup~D sHE~
IPE.A/btJ

' ' Received 07 September 2000
-2-geometry. Other systems use a reciprocating planar surface. Further, static volume systems exist (or have been proposed) in which no motion is required to generate the display space. Examples of this latter type correspond to a display space comprising a volume of solid or gaseous material, or alternatively a three-dimensional matrix of optoelectronic devices where each of the optoelectronic devices is capable of generating an image voxel within the display space.
Images may be generated (i.e. voxels illuminated) in various ways. A number of systems use a beam addressing approach (beam addressed displays) using laser or electron beams.
o In systems which use motion for display space generation, a suitably directed and modulated laser beam illuminates voxels at the points at which the beam is made to intersect with a semi-opaque surface. Similarly an electron beam, at its point of intersection with a phosphor coated surface, will stimulate an optical emission and can be used to generate a voxel. In the case of a static volume system, voxels may for example i 5 be generated by a two step excitation process at the point of intersection of two non-visible beams. Other systems use optoelectronic devices for voxel generation.
To date displays of this type have employed a two dimensional planar matrix of optoelectronic devices located upon a rigid surface which sweeps out the display space.
Alternatively, in the case of static volume displays, the optoelectronic array may take the form of a three 2o dimensional matrix. Various other techniques also exist, however these tend to be variations on the above.
All of the above types of display generally implement or adapt known technology and, in applications requiring high image resolution, can exhibit inherent display limitations which 25 are discussed in detail below.
Generally volumetric display technologies permit images to be viewed through a wide, and sometimes practically unrestricted, range of viewing angles. However, many of the existing AMENDED SHEET
~p~~ms ' received 07 September 2000
-3-display implementations produce images having a perceived quality which is not invariant with viewing position. That is - images are faithfully reproduced only when viewed from certain locations. This therefore restricts the viewing angle. In general image quality varies as a consequence of viewing direction and image location. This therefore restricts viewing freedom despite the viewing freedom which is apparently offered by the display technique.
This is a consequence of the optical characteristics of the image space and cannot be compensated for by the graphics engine.
It is considered that the present invention represents a significant departure from both conventional scanned beam devices (for example see International Application Nos.
PCT/NZ93/00083 and PCT/NZ96/00028) and matrix devices (for example see US
patent No. 4,160,973).
Systems, in which the image space is generated by the rotational motion of a surface such I5 as those described in the abovementioned documents suffer from a several intrinsic problems. Whilst these may not be a significant disadvantage in a number of applications, their impact increases with the demand for greater image quality, clarity and definition. Such problems ultimately limit the system performance and may set an upper limit to the size of the display space.
One problem is caused by refraction within the body of the rotating surface.
For example, in a beam addressed system, a surface layer /such as a phosphor coating) interacts with the beams) thus permitting the generation of visible voxels. This layer must be fabricated on a rigid body. Similarly, in a matrix system employing rotational motion, the optoelectronic components must be bonded to a rigid body. The rigid body should be transparent and will have finite thickness. Such characteristics will produce refraction effects when the body is viewed at an oblique angle whereby light emitted from the layer or matrix passes through the transparent material from which the rigid body is formed. In AMENDED SHEET
~Rf-'_;~ ~~: ° ) ' ' Received 07 September 2000
-4-some cases, total internal reflection in the rigid body will cause voxels to be distorted and/or attenuated. The effect of these aberrations is that when the rigid body is viewed edge on (or at angles close to this position), optical distortions may be visible resulting from the presence of the rigid body and/or occlusion caused by the devices/material which s generate the voxels.
For example, in the case of a system using a planar rigid body, the rigid body, produces images which, when viewed in line with the axis of rotation, are distorted by a region or band of strong attenuation. Although the impact of these effects is ameliorated by 0 binocular vision (where the axis of rotation is vertical) they still give rise to regions in which the image is diminished in intensity.
Flexing of the rigid body may often exacerbate the abovementioned problem. The rigid body must therefore be capable of resisting any flexing produced by its motion. Also, as I S the size of the display space is increased, it may be necessary to increase the thickness of the rigid body in order to avoid flexing. However, as the thickness is increased, the optical distortions described above become more severe.
A further problem arises along the axis of rotation. In order to permit the rigid body to be 20 as thin as possible (while at the same time ensuring mechanical stability) it is often necessary to provide additional support in the form of a centre shaft. A rigid body having a helical geometry provides greater mechanical strength than a planar configuration.
However, in both cases, in order to view images in line with, and on the opposite side of, the axis of rotation to the position of the observer, it is necessary to look through the 25 rotational axis and hence view light which has passed through both the rigid body and centre shaft (if presentl. Again this leads to optical distortions in the image. Even in the case of systems which employ a planar rigid body and no physical centre shaft, the rigid AMENDED SHEET
IPEA/AU

PCTlNZ99/00072 ' ::~ceived 07 September 2000
-5-body generates an artificial centre shaft with a diameter equal to one or two times the thickness of the rigid body.
Matrix systems employing rotational motion can have even greater associated problems whereby the optoelectronic devices add to the thickness of the rigid body and may occlude light emitted from other elements located at a greater depth within the display space.
Further, the high density of electrical connections needed to activate each device can contribute to distortion or occlusion of images.
l0 Directed beam devices activate voxels sequentially or by the inclusion of more beams, directed beam systems are able to demonstrate a degree of parallelism (the degree of parallelism being no greater and often less than the total number of beam scanning devicesl. Since the generation of each image voxel occupies a finite time, for each beam directed system there is an upper limit on the number of voxels it is able to generate during 15 each image refresh. Often the image refresh period equals the period of motion of the rigid body. It is not possible to reduce the period of motion of the rigid body below that required in order to produce substantially flicker-free images. Therefore, it is not possible to extend the time available for each image refresh beyond that required for tolerable image flicker.
Thus, the only way of increasing the number of voxels illuminated during each refresh 2o period (and therefore generate images containing more detail) is by using more beams and beam deflection devices.
When multiple beams and beam scanning devices are employed, registration between the beams becomes a major issue. Reliance may therefore have to be placed upon highly 25 accurate mechanical alignment of the beam sources, beam scanning devices and driving electronics. The alignment accuracy required increases as the maximum attainable voxel density is increased. In systems using charged beams, the beams) may not propagate in a rectilinear manner. Manual or automated electronic alignment methods may therefore be ~wtECv~~fw~ SHEET
i~a~:~~

' Received 07 September 2000
-6-required such as those mentioned in International Application No.
PCT/NZ93/00083. In the case of systems using laser beams, electronic alignment techniques are unlikely to be easily implemented.
In summary, in order to increase image detail (by enabling larger numbers of voxels to be illuminated at a higher density), it is necessary to increase the degree of parallelism in voxel activation. In the case of scanned beam devices, this necessitates the provision of multiple beams and beam scanners able to position voxels with great accuracy.
As the voxel density is increased the required placement accuracy is greater and so therefore is 0 the degree to which the beam scanning devices must be mechanically and electrically aligned.
The result is complex calibration procedures throughout the operational life of the display system. In certain cases electronic alignment techniques may be used, however this may I S cause further complication and additional computational overheads.
While the techniques proposed in the abovementioned International Applications overcome some of these difficulties, aberrations and calibration difficulties nevertheless become significant when the need for higher image definition arises.
Considering systems which do not use directed beams and motion for display space generation, and consist of a static three-dimensional matrix of optoelectronic (or other) elements. Each member of the matrix is able to give rise to a single voxel.
Consider a cube containing an array of optical devices leg: LEDs) spaced regularly throughout.
These voxel generation centres are activated in turn or simultaneously to produce the desired image.
The optical sources are stationary and can therefore illuminate only a single location in space. A prime disadvantage of such a device is that a large number of voxel generation centres are required. For example, if the cube has sides of length 20cm, and intervoxel AMEN(~En SHEF'r ,. .

' Received 07 September 2000 spacing of 0.1 mm, then 8 million voxel generation centres would be needed.
This leads to a corresponding large number of connections resulting in associated obstruction and aberration of the light as it traverses the display space. Furthermore, the addressing of such a large number of connections (data pathways) becomes infeasible as the dimensions of the image space are increased.
The number of connections and voxel generation centres can be greatly reduced by display space generation through the motion of a rigid body. It should also be noted that the number of external connections may be reduced byadopting a row and column type IO addressing technique ("multiplexing"). For example, an array of n by n optical elements may be addressed by Zn connections. Elements within this array are addressed sequentially. By groupingvoxel generation centres, it ~s possible to adjust the degree to which elements within the display space are addressed in both serial and parallel form.
However, multiplexing does not reduce the total number of connections which must be I5 made to the voxel generation centres as a whole. Each must be directly addressed and, given the large number of voxel generation centres required, it is necessary to have a large number of connections within the display space. This can lead to image occlusion and distortion. It is noted that the connections to each optical element may take a non electrical form.
Further potential problems may be found with a 3-D array implementation if constructed in a known arrangement of the optical devices and connections. At certain viewing angles, the optical devices and related components will align. Thus, an obstruction aberration may be visible as image striation. This may be present in more than one viewing direction, depending on the geometrical layout of the obscuring components.
Examples of a matrix display employing rotational motion include that described in US
Patent No. 4,160,973 (Berlin). The Berlin device uses a 2-D matrix of LEDs which are AMENDED SHEET

_ PCT/NZ99/00072 Received 07 September 2000 _g_ rotated through a volume creating a display space which is in the shape of right cylinder.
While reducing the number of optical sources and corresponding connecting wires, this construction does not provide the desired optical homogeneity and isotropy.
The presence of the rigid body upon which the LEDs are mounted may interfere at certain angles with the propagation of light. Such aberrations result not only from the rigid body itself, but also from the regular layout of the LED's on the planar array. For any viewing direction, there will always be a situation (in any complete revolution) where all of the LEDs lie in a plane parallel to a line joining one of the viewer's eyes with the centre of the display device. Further, on the rigid body there will exist a large number of connections. The layout of the connections may of necessity follow a regular pattern. When the components forming the array align, an obscuration aberration may be visible in the form of image striation. Refraction and possible total internal reflection effects will cause further image distortions (as described above in the case of systems using rotational motion).
These distortions are implicit in systems using the rotational motion of a rigid body and ~5 result directly from the difference between the refractive index of the rigid body and that of the empty display space which it sweeps out.
Also, the presence of a central mounting shaft will interfere with optical emission.
Although this may not be a significant disadvantage in many applications, it would be 2o desirable to have a completely optically homogenous isotropic image space which includes a uniform central core.
A further limitation of known volumetric displays relates to the passage of voxel data into the display space and hence to the appropriate voxel generation centres..
Consider a 25 control and graphics processing system which is responsible for taking voxel data from a host computer and passing it in the appropriate form and at the appropriate time to the display. The operator should, in the ideal case, be able to treat the display space as a 3-D a Cartesian space (using whichever form of coordinate system is appropriate).
That is - the AMEhIDED SHEET' rPE~~~r~

PCT/:~IZ99/00072 Received 07 September 2000 display space should be able to represent data points (voxels) on a regular grid-like spacing.
Thus, there should be a direct mapping of coordinate values into image space voxels. The display space should therefore exhibit the properties of homogeneity and isotropy with respect to voxel placement. Neglecting the discrete nature of the voxel generation devices, the number and spatial distribution of voxels which comprise an image should be invariant with its position.
It is possible that these conditions may never be fully realised. However, the present invention provides a solution which is expected to maximise these display space metrics. A
to further benefit offered by the present invention is an increase in the number of voxels which may be illuminated within each image refresh. This is best described by examining the limitations to various current systems.
Voxel data originating from the host computer and suitably processed by the graphics t5 processing system passes to the display hardware via a number of data pathways. It can therefore be considered that the data pathways act as the interface between the graphics processing hardware and the voxel activation devices. Considering for example, a swept volume-directed beam system employing rotational motion. In such a configuration, each beam deflection system is responsible for sequential voxel activation. Several beams may 20 be required in order to allow voxels to be generated throughout the display space (see International Application No. PCT/NZ93/00083 for example). The degree of parallelism exhibited by such a display is therefore no greater than (and perhaps less than) the number of beam deflection mechanisms. Increasing the number of beam deflection mechanisms will increase the degree of parallelism. However, the degree of parallelism is inherently 25 limited in such devices. Since, as noted above, increasing the number of beams/beam deflection mechanisms leads to calibration and registration problems.
AMENDED SHEET
IPE~/Al.~

Received 07 September 2000 io -In systems employing a 3-D matrix of static elements, the degree of parallelism may be reduced byadopting a row and column addressing technique. The number of voxel generators is unacceptably large and is coupled to the dimensions of the display space.
Similarly, the extent of the connectivity also increases.
In the case of a display employing the rotational motion of a planar matrix element, such as that described in US Patent No. 4,160,973 (Berlin), the problems in data transmission reside in writing sufficient data to the rotational planar LED array per image refresh period.
The Berlin device permits parallel data transfer from the rotating display electronics to the to LED array. However, the rotating display electronics memory is updated via a serial optical link. Therefore, it would appear that an inherent upper limit to the rate of data transfer wilt limit the number of voxels which may be modified during each image refresh period. The Berlin system allows for incremental updating of the image (i.e. a percentage of the total number of available voxels). However, it is likely that high definition images involving gross ~ 5 movement and covering large regions of the image space would exceed the data transfer capabilities of such a data transfer link. That is - while the graphics processing system may exhibit any required degree of parallelism, and while the 2-D optoelectronic array may be configured to exhibit parallelism, the data transfer link is inherently serial and will ultimately limit the throughput of information into the display system.
A further weakness associated with a technology employing the rotational motion of a 2-D
optoelectronic matrix such as that described in the previous paragraph resides in the varying workload of the optoelectronic components. The length of the path (track) swept out by each of the optoelectronic devices is proportional to their radial distance from the axis of rotation. Given that each of these devices is responsible for voxel generation along the circumference of a circle at intervals (tracks) which are constant throughout the display space, it follows that the workload of each device is in direct proportion to its distance from the axis of rotation. Therefore, a device which is closer to the axis of rotation is AMENDED SHEEP
~~'r ::, ro,a 1 rieLeived 07 September 2000 -ii responsible for the generation of fewer voxels per rotation (image refresh periodl than one wi~ich lies at a greater radial distance from the axis of rotation. The devices at the greatest distance from the axis of rotation will have the greatest potential workload and those closest to the rotational axis the smallest. Thus, while the bandwidth of the interconnection between the multiplexing electronics and the optoelectronic components must be the same for all elements in the array, the total amount of data which may potentially be passed to each element during each image refresh period is will vary with the radial distance of each element from the axis of rotation. A further problem is the increasing voxel density at small radii. The optical emission devices are of finite size and l0 unacceptable densities can occur close to the axis of rotation.
In order to permit grey scale and colour mixing it is necessary to pass to each element an analogue signal the magnitude of which will determine the intensity of an illuminated voxel.
The data processed by the graphics processing hardware is generally in digital form. As 15 the number of data pathways out of the graphics processing hardware is increased in order to facilitate parallel voxel generation within the display system, it follows that there is usually a need for a greater number of digital to analogue converters (DAC'sl.
Normally there would be at least one such DAC per data pathway. For example, in the beam addressed system described above the number of DAC's would normally correspond to 20 three times the number of beams able to address the display simultaneously.
The need for three DAC's per data pathway reflects the general need in the case of a beam addressed system to provide two DAC's responsible for beam deflection and one DAC for grey scale.
Large numbers of DAC's considerably increase the cost, size and power consumption of the graphics processing hardware. There is a further need to pass a large volume of data 25 across a rotating intaface. Serial methods described in the content of the Berlin device are not considered capable of effecting the anticipated transfer rates.

~~~~'11.~

Received 07 September 2000 It is an object of the present invention to provide a high definition three-dimensional volumetric display which overcomes a number of the abovementioned disadvantages by providing a display with an image volume which exhibits little or no obscuring aberration effects, which has data transfer characteristics which allows serial and parallel data multiplexing in order to match the control system to the display electronics, allows a reduction in the number of DAC's or which at least provides the public with a useful choice.
Disclosure of the Invention to In one aspect the present invention a three-dimensional volumetric display comprising:
a solid, substantially optically transparent support structure adapted to be rotated around an axis of rotation by a drive means; and I5 an array of optical sources dispersed throughout said support structure in such a manner that the optical sources do not lie in any single plane, the optical sources being electrically connected to a connection means which is adapted to receive control signals from display circuitry to drive the optical sources according to the control signals wherein, in use, the drive means and the optical sources may be driven in such a manner that a 20 three dimensional image may be generated within the support structure.
The optical sources arm preferat~ly dispersed substantially uniformly throughout the display structure. The support structure preferably occupies substantially the entire display volume within which an image may be generated. The optical sources may be dispersed 25 substantially throughout the display structure.
Preferably, as the display structure rotates, the optical sources trace out circular tracks around the axis of rotation wherein the optical sources are dispersed at locations on the AMENDED SHEF_T
,:..

received u7 September 2000 circular tracks in such a way that the optical sources spatial density is substantially uniform throughout the display structure.
The array of optical sources may be calibrated by observing the illumination of each of the s activation sources in such a way and at such a time so that their relative locations on their corresponding tracks may be determined.
In a preferred embodiment, the optical sources are located on planes perpendicular to the axis of rotation of the support structure, whereby for any single plane, the optical sources o are located relative to one another on corresponding tracks so that the optical sources form a spiral when viewed along the axis of rotation, the spiral traversing a path outwards from the axis of rotation to an outer edge of the support structure.
Preferably the planes are arranged one on top of the other and sequententially displaced ~5 around the axis of rotation in relation to one another so that the optical sources lie on the surface of a helix.
In an alternative embodiment the number of optical sources on a track may vary as a 20 function of the displacement from the axis of rotation, alternatively the optical sources on a single track may be selected to effect the emission of selected colours.
The support structure may be in the shape of right cylinder, a sphere or other three-dimensional shape suitably adapted to the viewing application for which it is intended.
The support structure may be embedded in a stationary secondary support structure, the secondary support structure having substantially the same refractive index as the support structure, the arrangement being such that there is as small a gap as possible between the AMENDEr'~ ~NE~...
Ip~,:, ~;~, Received 07 September 2000 support and secondary structure while allowing relative movement between the support and secondary structure whereby the construction of the secondary support structure is such that the visual isotropy of the generated three-dimensional image is enhanced.
The optical sources may be light emitting diodes, optoelectronics materials stimulated by non-visible radiation, devices which may have a two state (on/off) operating state.
Preferably the array of optical sources are connected to display electronics in such a way that they may be activated by means of parallel data which is multiplexed, where the l0 degree of serial/parallel mixing is controllable and dependent upon matching the display to control electronics.
Preferably the operation of the display electronics should be sufficiently parallel so as to ensure that the serial data links do not restrict the system bandwidth.
IS
Preferably, the optical sources are grouped into regions which are each driven in parallel where those regions as a whole are driven serially, each region having a number of high workload and low workload in order that each data pathway has substantially the same potential data transfer capacity, wherein the workload is proportional to the radius of the 20 track on which the optical sources) is located.
Preferably the rotating components of the volumetic display are coupled to stationary components by means of a multichannel optical data link.
25 The support structure may incorporate a reciprocating core incorporating a reduced number of optical sources the reciprocating motion when coupled with rotational motion producing a plurality of virtual tracks.
AMENDED SHEET
IPEq/Atl , PCT/NZ99/00072 15 Received 29 September 2000 According to a further aspect of the invention there is provided a display including:
a support structure supporting a plurality of optical sources dispersed throughout said support structure in such a manner that the optical sources do not lie in any single plane;
rotation means for rotating the support structure about the axis of rotation;
translation means for translating the support structure;
drive circuitry for activating the optical sources; and control means for actuating the rotation means, translation means and drive means in such a manner that optical sources may be activated at locations on a plurality of tracks through which the optical sources pass so as to generate image elements at desired locations on a plurality of such tracks.
Brief Description of the Drawings The present invention will now be described by way of example and with reference to the drawings in which:
Ficture 1 illustrates a simplified dispersed optical source display having optical sources located on planar spiral patterns;
Figure 2 illustrates a top view of the dispersed optical source display of Figure 1;
Figure 3 illustrates a simplified schematic perspective view of a single plane of a dispersed optical source display;
Fi4ure 4 illustrates a top view of the display device shown in figure 4;
Figure 5 illustrates detail of a calibration method appropriate for a display device of figure 4;
Fi4ure 6 illustrates a schematic of an N x M planar emitter array; and AME(J~D SN~GT
IREAlfiU

Received 07 September 2000 Figure 7 illustrates a representation of the dispersal of optical emitters through a display volume.
s The present invention may be classified as a moving matrix type volumetric display. The closest prior art of which the applicant is aware is US patent No. 4,160,973 (Berlinl.
As noted above, ideally a three-dimensional volumetric display will produce images which faithfully reproduce the object concerned without the display system producing optical to artefacts resulting from the system itself.
This requires that the voxel refractive index be the same or similar as the refractive index of the volume in which the image is to be generated. The expression "the same"
is understood to mean that the light emitted from the image encounters substantially identical 15 optical conditions when traversing the display device. Therefore, in the limiting case, the physical apparatus which produces the light emissions (by means of illuminated optical sources) within the image generation volume is completely transparent and does not interfere with optical emissions produced by voxels within the swept volume.
2o Therefore, the ideal image generation volume is a transparent solid with a constant refractive index throughout its volume. This contrasts with swept volume scanned beam devices (such as an electron beam impinging on a phosphor screenl. Here, the glass structure supporting the phosphor has a different refractive index from the rest introduces refractive aberrations when the screen is at an oblique angle to the viewer.
Such 25 aberrations are caused both by refraction distorting light from voxels as well as a total internal reflection within the glass.
AMENDED S~iEET
IFrq~~l I

I~eccived 07 September 2000 -t7_ To overcome these problems, a planar matrix display could be embedded in a support structure having the same refractive index as the matrix display. This would avoid refraction aberrations. However, obscuration aberrations would still be a problem because of the highly ordered arrangement of optical emission devices and their associated electrical connections.
A solution to this is to disperse the emission devices through the display volume.
Figure 1 illustrates a simplified example of a display device in which the optical sources are o dispersed. Referring to figures 1 and 2, a cylindrical transparent support structure 20 contains planar arrays 15a, 15b 15c of optical sources 21 a, 21 b etc. For clarity, only three planes are shown spaced widely apart. The planar array construction is not intended to limit the scope of the invention and merely represents an implementation which is for convenience in manufacture and construction. Accordingly, the display can be generalised I5 to a rotating volume containing distributed optical sources. The dispersion may be described as random insofar as randomness is interpreted to exclude statistical clustering.
To illustrate the principle of dispersion of the optical emitters, Figure 7 illustrates a diagram of emitter layout in a cylindrical display system. The x and y axes correspond to a section through the cylinder with the x axis being the radial direction and the y axis the height.
2o These axes are different from those shown in the other figures. The z axis corresponds to the track length which is proportional to the radius measured from the axis of rotation. The plane L corresponds to the track length as a function of radius and it can clearly be seen that to maintain emitter density toward the axis, and given the finite size of the emitters, there will be congestion problems near the centre. This will be discussed further below.
25 Referring again to Figure 7, the matrix array in Solomon would be represented by the plane of emitter locations T (coplanar with the x and y axes) and the present invention emitter locations as, for example, the artside of the display, as being along the track path indicated by the letter S.
/;MEhIDED SHEET
IP~AIAU

Received 07 September 2000 _ Is _ In the embodiment shown in figure 1 , the optical sources are arranged in a path (lying in a plane) traversing a spiral from the axis of rotation of the display, to an outer edge. Each of the planes, upon which the optical sources are located, are rotationally displaced with respect to one another (around the axis of rotation of the support structurel.
Therefore, there is no preferred alignment orientation when the display volume is viewed from any direction.
A suitable dispersal regime may be where optical emitters are located at different locations o along a track. While being constrained on a circular track, the emitter locations can be dispersed so that the emitter density is uniform over the whole volume of the display system. In this way there would be no preferred direction which would result in obscuration of one emitter by another. In the specific case of emitters being set out in spirals on adjacent planes, if the planes are sequentially displaced, the resulting emitter I S dispersion pattern will reduce (but not eliminate) obscuration. The preferred method is where the location of the emitters on the tracks (ie; their rest locations) is dispersed in such a manner that the emitters are spread evenly though the display.
Colour or gray scale capability may be included in the present implementation by locating 20 (for example) three emitters on a track and timing their emission so that appropriate colours are produced.
The alternative, and preferred version, is that shown in figure 3. In this embodiment, the optical sources are dispersed on the planes ~rvhich make up the support structure. The 25 planes are sandwiched one on top of the other. Also, the optical sources are a uniform refractive index volume thus reducing the effect of distributing the wire/connection array to avoid localised high density groups of related components/structure.
AMENDED SNC~
IPEA/AI) Received 07 September 2000 There may be 'tensing' effects visible in the image due to the refractive index of the support structure when compared to air. However, under certain circumstances this may enhance the view of the image by magnification of image detail and a reduction in image interference caused by real world objects located on the opposite side of the display space.
This would be most apparent in a spherical display space. In cases where the airldisplay relative refractive index produces unacceptable distortion, it may be possible to embed the rotating display support inside a body of similar, if not identical, refractive index. For example, a rotating spherical display volume device may be embedded in a static cubic block. The rotating and static components would be optically coupled so that there is little io or no refractive gradient or interface between the two. This construction may be suitable for cases Where the application requires a specifically shaped display unit.
At the centre, the voxel density will be high as the paths traversed by the optical sources will be shorter than those towards the edge. The voxel density is therefore ideally reduced by decreasing the number of optical sources in the core region. This congestion will be discussed further I S below.
Referring again to figure 3, a single plane 24 is shown having five optical sources 25a-e.
Of course, this number is illustrative only and a practical display will incorporate a large number of optical sources. As the plane is rotated around the z axis (the z axis being 2o perpendicular to the x and y axesl, each of the optical sources will trace out concentric circular paths or tracks 26. Optical sources are activated in synchronisation with the rotational motion of the support structure and voxels may therefore be positioned in the display space as required. The optical sources need to be illuminated at precisely known positions in space in order to produce an image. In the present case, the positions of the 25 optical sources must be calibrated with reference to the rotational position of the support structure. In the case of the optical emitters located in a known dispersal regime on the tracks, calibration may be performed using the known locations of the optical sources in each plane. Alternatively, all optical sources may be simultaneously momentarily activated AMEfVpED SHEEP
~ c .=,q,A ~ ~

Received 07 September 2000 -zo and normalised or rotated onto a plane passing through the axis of rotation of the support structure (or any other reference plane). Such a procedure is schematically shown in figure whereby a random array of optical sources 25a-a are advanced or delayed onto corresponding locations 25a'-e'on the Y axis. This may be done by using a video camera imaging the display from above and using a reference optical source located on the reference plane for other known location) and delaying the activation of other optical sources in relation to this source. The unknown optical sources delay or advances their activation so that they lie on the Y axis. Other calibration methods may be feasible and it is envisaged that the implementation of the synchronisation step would be within the I o scope of one skilled in the art.
i ne cpucal sources may be thought of as light emitting means powered and activated by electrical connections using wires. As a consequence of the dispersion of the optical sources within the display volume, the wires will also be dispersed and thus the display IS device will not exhibit any preferential obscuring aberrations. It is feasible that electrical connections may be effected by means of thin, virtually invisible, metallic fibres encased in a uniform refractive index support medium.
Referring to the data flow constraints, if we consider a planar array of N x M
optical 20 sources, the total number of connections is generally 2NM (assuming two connections per optical source or NM + 1 for a common groundl. These connections can be addressed in parallel as they are completely independent. This would be effective if the data supply mechanism was able to carry NM data pathways at any one time. In this model, the connection between each graphics path line channel and each optical source would take 25 the form of a one to one mapping. However, with the inclusion of grey scale capability or a display having a practical resolution, each optical source would require the application of an analogue voltage level and for systems having even a moderate voxel activation capacity, the size of the driving circuitry would be very large. For example for a display 30 AMENDED SHEET
IPEA/AU

' ~> ~~-~~~ ~ed 07 September 2000 aw.w v cm high and 1 5 cm in radius, at 1 mm element separation there would be 45,000 elements. That is - 45,000 pathways without serial links. For this reason, it is highly desirable to incorporate a partially sequential data transfer method. To this end, the highly parallel array may be interconnected in a series of planes. This can be thought of as sub dividing the N x M display into a sequence of individually parallel connection arrays but with the subdivided sections being multiplexed. This would result in the number of interconnections being significantly reduced. The effect of such a reduction is the inclusion of serial activation of the elements within each 2D segment. However, it can be seen that the degree of parallelism can be adjusted to match the control system. This adjustability to in the design of the volumetric display allows optimisation of the particular display to achieve a required level of definition, voxel spacing and subsequent image quality coupled with the characteristics of the control system. It is considered that the inclusion of sucn adaptable multiplexing represents a highly desirable attribute of the present novel system.
The above multiplexing technique can be readily adapted to the dispersed optical element 15 display.
As noted above, the size of a track swept out by an optoelectronic element is proportional to the radial distance, R, from the axis of rotation. As a consequence for elements approaching the axis of rotation i.e. for elements with decreasing values of R, there is less 20 space to disperse these elements within the display space. Further, the potential number of voxels which each element may create during each revolution of the display space is directly proportional to the radial distance, R, of the element from the axis of rotation.
Accordingly, as the axis of rotation is approached, there is less space for element dispersal 25 and a decrease in the potential workload for each element. This is where it can be seen that for small values of R and finite optical element size, there will be congestion. The lack of space for dispersal may cause optical problems (e.g. image distortion) should the refractive index of each element fail to properly match that of the display space material.
AMENDED $I-I!EET
iPEA/AU

Received 07 September 2000 ., This would be particularly so if an observer views an image component located on the opposite side of the axis of rotation to that of the observer. This problem may be minimised by reducing the density (i.e. number) of optoelectronic elements for smaller values of R.
Simply reducing the density of elements will affect the homogeneity of the display space.
To circumvent this effect, a translational (or reciprocating) motion may be superimposed upon the rotational motion of the display space towards its centre. Therefore, that the display space material may consist of an outer rotational component and an inner cylindrical core.
These two materials are in close proximity and are matched in terms of the refractive index. Both rotate the outer core at speeds above the flicker fusion frequency. The inner cylindrical core also rotates, however its speed of rotation may differ from that of the outer l5 material.
Further, the inner cylindrical core has a vibrational motion (parallel to the axis of rotation) superimposed upon it. The rotational speed of the inner core will generally be greater than that of the outer display space material. The amplitude of the vibrational motion permits 20 each optoelectronic element to pass through a number of track positions in the Y direction.
For instance, should the amplitude of the vibrational motion be sufficient to allow each optoelectronic element to pass through two track positions in the Y direction, then the number of elements required in the Y direction may be halved. This introduces the concept of virtual tracks. A virtual track may be defined as a track within the display space which 25 does not contain its own optoelectronic element from a different position within the display space for voxel generation within the virtual track.
AMENDED SHEET
IPEA/AU

ri Y~_ei ved 07 September 2000 _ 2; _ If, for example, an inner core radius of 5 cm is considered then an outermost element upon this inner core would in the case of no vibrational motion sweep out a distance of approximately 30 cm per display space revolution, and given a voxel spacing of 1 mm, would be responsible for generating 300 potential voxels. If the density of elements is halved by the imposition of vibrational motion it would be necessary to have a vibrational motion of at least 300 times the rotational frequency of the display space.
The vibrational amplitude being in the order of 3-4 mm for an inter-voxel spacing in the Y
direction of approximately 1 mm. It is noted that by increasing the rotational frequency of the inner core it is possible to reduce the vibrational frequency.
The vibrational motion could be effected by various means such as by electromechanical stimulation or could be derived from the difference in rotational speed between the outer display space and inner core. Increasing the amplitude of motion would permit a further reduction in the number of optoelectronic elements required in the Y
direction, i.e. parallel 15 to the axis of rotation.
The display space material as a whole may also be flexible and highly controllable thus permitting the vibrational motion to extend from the outside to the inside at an ever increasing amplitude. This avoids the discontinuity caused by the outer core and the inner 20 vibrating core envisaged above.
As noted above, the present invention provides a method and apparatus for parallel voxel generation and permits a large number of voxels to be generated during each image refresh or display space revolution. An important aspect of the implementation upon coupling the 25 voxel data from the graphics engine or control system into the display space for passage to the electro-optical elements. Should this link simply take the form of a serial optical connection, then it is likely, given the large number of elements which are contained in the display space, that only a fraction of them could be addressed/updated during each display 4AAEntp~n gHEET

Received 07 September 2000 space revolution or image refresh. That is - a serial optical link would limit the bandwidth of the connection between the graphics engine and the display space electro-optical element multiplexing system. In order to maintain a high bandwidth connection and permit a very large fraction of the elements to be updated (if not potentially all) during each display space rotation, the present invention may use a parallel optical connection between the static outside world and the rotating/vibrating display space.
In a preferred embodiment, this connection takes the form of two concentric cylinders.
One of these cylinders is stationary and the other co-rotates with the display space. Upon l0 the surface of the stationary cylinder is a 2D array of light-emitting devices and on the rotating cylinder is a 2D array of optical receptors each capable of converting light signals received from the emitters into eiectricai signals. Both cylinders are positioned around the axis of rotation of the display space. The principle of operation is best considered by imagining oneself to be a light receptor. The physical layout of the transmitters would I5 cause an observer (receptor) to see a series of light sources rising and sinking in sequence.
During certain periods no light source would be visible to the observer.
During periods where the light source is sufficiently strong, the controlling hardware would modulate the light source in order to permit transmission of information from the source to the observer.
The physical arrangement of the light sources and receptors is such as to ensure that a 20 maximum number of light sources are able to transmit at any time to a maximum number of receptors. The use of a plurality of transmitters and receptors permits parallelism in data transfer. If a single ring of transmitters and receptors is considered (this ring being located around the circumference of the cylinders) then the operation may be easily understood.
By varying parameters such as the total number of transmitters and receptors together 25 with their spacing and any collimating system placed around each receptor, we can vary the degree to which parallel data transfer may take place. By duplicating these single rings of transmitters and receptors along the length of the two cylinders we can duplicate the AMENDEn SHEET
~~'~ ~ .~8.; 1 Received 07 September 2000 degree of parallelism. It is noted that these rings may be physically displaced around the circumference.
In order to effect proper data transfer it is necessary for the controlling hardware to direct (route) information to the appropriate transmitters and to have a clear knowledge of which receptor will contain the transmitted information. The system therefore employs an optoelectronic synchronisation link from which routing information can be derived and which further provides the control system with timing information which is necessary in order to generate images within the display space (see International Application l0 PCT/NZ93/000831. The optoelectronic link takes the form of a single transmitter and single receptor, the transmitter being located upon the cylinder containing the 2D
array of optoelectronic receptors and the electro-optical receiver being located upon the cylinder containing the 2D array of electro-optical transmitters. The transmitting device operates continuously and provides the receptor with a single-pulse high revolution of the display I5 space which corresponds to a single rotation of the cylinder equipped with the optoelectronic receivers. This pulse is used to obtain timing information for voxel output into the display space and further routing information for the passage of information through the optoelectronic parallel data transfer link.
20 In order to tolerate a small degree of mechanical misalignment in the positioning of the electro-optical transmitter and receiver arraysit is desirable to have a degree of duplication in the information which is passed through the parallel data transfer link and intelligent hardware which co-rotates with the display space and which is capable of performing amalgamation of incoming data, error correction and which is multiplexing of signals to the 25 voxel elements. It is further noted that in order to achieve maximum bandwidth through the parallel data transfer link it is highly desirable to minimise the extent of the night times.
These are periods in which no transmitter is able to pass signals to any particular receptor (this being caused by the geometrical arrangements between the two arrays and AMENDED SHEET
~PEAIAU

Received 07 September 2000 corresponds to no transmitter having risen sufficiently above a receptors horizon (collimated horizon)). As a transmitter moves above a receptors horizon not only must it be aware of which receptor it is to encounter, but it must also be aware of the time at which it has risen sufficiently in order that a signal of sufficient amplitude can be received by the receptor. In one particular embodiment each transmitter will judge from information gained from the once-per-revolution synchronisation signal at what point it should commence transmitting information to a particular receptor and at what point it should stop. Between these two periods the transmitter will transmit an integral number of voxel descriptors. By exercising caution in terms of the amplitude of signal required by a receptor to receive the l0 transmitted information without error. It can generally be assured that error correction will not be necessary. This however reduces the useable bandwidth of each transmitter and receiver. The degree of parallelism exhibited by the parallel data transfer link enables however a sufficiently high bandwidth for the passage of information to the display space hardware and will enable the possibility of a high percentage if not all of the voxel element I5 positions to be updated during the course of each image refresh period.
As noted above, the present invention is not limited to a cylindrical support structure and other geometries such as spherical, conical or other rotationally symmetrical body are to be considered within the scope of the invention.
It can be seen that the present invention provides for a substantially optically isotropic and homogenious image generation volume as well as the capability of connection regime which may be adjusted in terms of the degree of multiplexed serial/parallel mixing so as to match the control system.
Either the dispersed optical source regime or other arrangements may be particularly adaptable to manufacture as a large number of identical planar optical source arrays can be manufactured from which the (in the present case) cylindrical support structure can be AMEPJf7ED SHEET

CA 02350687 2000-12-04 pCT/NZ99/00072 a eceived 07 September 2000 _27_ ~
built up by placing one layer upon the other. Each plane may be rotated randomly to produce the dispersed scattering of the optical sources through the display volume. In the case of a spiral optical source array, offsetting adjacent planar elements would lead to a random helical surface sweeping out an image volume.
Where in the foregoing description reference has been made to elements or integers having known equivalents, then such equivalents are included as if they were individually set forth.
Although the invention has been described by way of example and with reference to particular embodiments, it is to be understood that modifications~and/or improvements may be made without departing from the scope of the appended claims.
IS

AMENDED SHEET
IpEAIAU

Claims

CLAIMS:

1. A three-dimensional volumetric display comprising:
a solid, substantially optically transparent support structure adapted to be rotated around an axis of rotation by a drive means; and an array of optical sources dispersed throughout said support structure in such a manner that the optical sources do not lie in any single plane, the optical sources being electrically connected to a connection means which is adapted to receive control signals from display circuitry to drive the optical sources according to the control signals wherein, in use, the drive means and the optical sources may be driven in such a manner that a three dimensional image may be generated within the support structure.

2. A display as claimed in claim 1 wherein the optical sources are dispersed in such a manner within the support structure that the density of the optical sources is substantially uniform throughout the display structure.

3. A display as claimed in any one of the preceding claims wherein the support structure occupies substantially the entire display volume within which a three dimensional image may be generated.

4. A display as claimed in claim 3 wherein the optical sources are dispersed substantially throughout the entire display volume.

5. A display as claimed in any one of the preceding claims wherein the optical sources follow circular tracks as the support structure rotates.

6. A display as claimed in any one of the preceding claims wherein the optical sources are located along tracks on a series of planes perpendicular to the axis of rotation of the support structure.

7. A display as claimed in claim 6 wherein the optical sources are located upon a spiral track of each plane.

8. A display as claimed in claim 6 or claim 7 wherein the planes are arranged one on top of the other along the axis of rotation.

9. A display as claimed in claim 8 wherein the optical sources are positioned such that the optical sources lie on the surface of a helix.

10. A display as claimed in any one of claims 6 to 9 wherein the number of optical sources on a track varies as a function of the displacement from the axis of rotation.

11. A display as claimed in any one of claims 6 to 10 wherein multiple optical sources for producing different coloured emissions are provided on at least some tracks.

12. A display as claimed in any one of the preceding claims wherein the support structure is in the shape of a right cylinder.

13. A display device according to anyone of claims 1 to 11 wherein the support structure is in the shape of a sphere.

14. A display as claimed in any one of the preceding claims wherein the support structure is embedded in a stationary secondary support structure, the secondary support structure having substantially the same refractive index as the support structure, the arrangement being such that there is as small a gap as possible between the support and secondary structure while allowing relative movement between the support and the secondary structure, whereby the construction of the secondary support structure is such that the visual isotropy of the generated three-dimensional image is enhanced.

15. A display as claimed in any one of the preceding claims wherein the optical sources are light emitting diodes.

16. A display device according to any one of claims 1 to 14 wherein the optical sources are optoelectronic materials stimulated by non-visible radiation.

17. A display as claimed in any preceding claim wherein the array of optical sources are connected to display electronics in such a way that they may be activated by means of parallel data which is multiplexed, where the degree of serial/parallel mixing is controllable and dependent upon matching the display to control electronics.

18. A display as claimed in any preceding claim wherein the operation of the display electronics is sufficiently parallel so as to ensure that the serial data links do not restrict the system bandwidth.

19. A display as claimed in any preceding claim wherein the optical sources are grouped into regions which are each driven in parallel where those regions as a whole are driven serially, each region having a number of high workload and low workload in order that each data pathway has substantially the same potential data transfer capacity, wherein the workload is proportional to the radius of the track on which the optical source(s) is located.

20. A display as claimed in any preceding claim wherein the rotating components of the volumeric display are coupled to stationary components by means of a multichannel optical data link.

21. A display as claimed in claim 20 wherein a plurality of stationary optical transmitters are provided on a stationary structure and a plurality of optical receivers are provided on the support structure, the optical transmitters and optical receivers being arranged to maintain multiple substantially continuous data paths.

22. A display as claimed in claim 21 wherein the optical transmitters of each channel are arranged in a ring on the stationary structure and the optical receivers of each channel are arranged in a ring on the support structure, the rings being co-axial with the axis of rotation.

23. A display device as claimed in any preceding claim wherein the support structure includes a central core having optical sources distributed therethrough which may be reciprocated in use so that the optical sources of the core may be utilised to produce image voxels on a number of virtual tracks.

24. A display as claimed in claim 23 wherein the core reciprocates along the axis of rotation of the support structure.

25. A display as claimed in claim 24 wherein the core reciprocates at a frequency greater than 300 times the rotational frequency of the support structure.

25. A display as claimed in any one of claims 23 to 25 wherein the core is adapted to rotate, in use, at a frequency greater than the frequency of rotation of the support structure.

27. A display as claimed in any one of the preceding claims including calibration mean which monitors the location of illuminated sources at certain times and provides synchronisation information for controlling the timing of control signals.

28. A display including:
a support structure supporting a plurality of optical sources dispersed throughout said support structure in such a manner that the optical sources do not lie in any single plane;
rotation means for rotating the support structure about the axis of rotation;
translation means for translating the support structure;
drive circuitry for activating the optical sources; and control means for actuating the rotation means, translation means and drive means in such a manner that optical sources may be activated at locations on a plurality of tracks through which the optical sources pass so as to generate image elements at desired locations on a plurality of such tracks.

29. A display substantially as herein described with reference to the accompanying drawings.
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