CN110375677A - Camera detector is directed toward and the detection device and method of focal plane subassembly mounting surface angle - Google Patents
Camera detector is directed toward and the detection device and method of focal plane subassembly mounting surface angle Download PDFInfo
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- CN110375677A CN110375677A CN201910654854.4A CN201910654854A CN110375677A CN 110375677 A CN110375677 A CN 110375677A CN 201910654854 A CN201910654854 A CN 201910654854A CN 110375677 A CN110375677 A CN 110375677A
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- 238000001514 detection method Methods 0.000 title claims abstract description 37
- 238000000034 method Methods 0.000 title abstract description 21
- 238000012360 testing method Methods 0.000 claims abstract description 64
- 238000003384 imaging method Methods 0.000 claims abstract description 9
- 239000011159 matrix material Substances 0.000 claims description 11
- 238000005286 illumination Methods 0.000 claims description 4
- 230000005540 biological transmission Effects 0.000 claims description 3
- 238000012545 processing Methods 0.000 claims description 3
- 230000003287 optical effect Effects 0.000 abstract description 28
- 238000005070 sampling Methods 0.000 abstract description 5
- 238000009434 installation Methods 0.000 abstract description 3
- 238000005259 measurement Methods 0.000 description 8
- 239000000571 coke Substances 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 230000009897 systematic effect Effects 0.000 description 2
- 230000000007 visual effect Effects 0.000 description 2
- 230000007423 decrease Effects 0.000 description 1
- 238000007689 inspection Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
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- 238000013102 re-test Methods 0.000 description 1
- 238000012546 transfer Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/26—Measuring arrangements characterised by the use of optical techniques for measuring angles or tapers; for testing the alignment of axes
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
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- General Physics & Mathematics (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Length Measuring Devices By Optical Means (AREA)
Abstract
The invention discloses the detection devices and method of a kind of camera detector direction and focal plane subassembly mounting surface angle, comprising: test suite and data handling component；The test suite includes that camera detector photosurface and focal plane subassembly installation to be measured is placed in up on the test platform, and the Y-axis track is located at a side end face of the test platform；The mobile bar can be moved in XZ plane by the X-axis track and the Z axis track；The micrometering unit can carry out blur-free imaging to camera detector photosurface to be measured and focal plane subassembly mounting surface；The device carries out sampling site, fitting to camera detector photosurface to be measured and focal plane subassembly mounting surface, the angle value and angle direction of the two can be found out, the angle that the detector in focal plane subassembly is directed toward between system optical axis has been reacted, the process for testing optical index is converted into mechanical dimension's test；The apparatus structure is simple, easily operated, and testing result precision is high, error is small, and adaptability is good.
Description
Technical field
The present invention relates to technical field of optical detection, and in particular to a kind of camera detector is directed toward and focal plane subassembly mounting surface
The detection device and method of angle.
Background technique
Usual camera is made of focal plane subassembly and optical system, and the detector in focal plane subassembly is directed toward and system optical axis
Each visual field of camera can not coaxially be set to generate defocus, image quality decline, the spy in camera adjustment detection process, in focal plane subassembly
Surveying device and being directed toward with system optical axis alignment is a key index.Camera focal plane component and optical system by mounting surface and
Heat insulating mattress connects, and the angle that the detector in focal plane subassembly is directed toward between system optical axis can be referred to by camera detector
It is reflected to focal plane subassembly mounting surface angle.Meanwhile heat-insulated mat thickness and shape tune by being mounted between mounting surface
Detector in whole focal plane subassembly is directed toward and system optical axis registration, it is thus determined that the parameter of heat insulating mattress can solve coke
Detector in the component of face is directed toward and system optical axis out-of-alignment problem.
In the prior art, testing detector in focal plane subassembly and being directed toward is with the method for system optical axis angle: test phase
The size of the optical index (optical transfer function, disc of confusion, point spread function etc.) of machine difference visual field, analysis obtain focal plane subassembly
In detector be directed toward and the angle and optimal focal plane of system optical axis, cut thickness and the shape of heat insulating mattress by repairing and guarantee
Detector in focal plane subassembly is directed toward and system optical axis is coaxial.But the shortcomings that the method, is test result by environment shadow
Big, test result inaccuracy is rung, therefore will lead to retest, repeat processing heat insulating mattress, it is time-consuming and laborious.
Therefore, in camera adjustment detection-phase, the detector established in a set of precise measurement focal plane subassembly is directed toward and optics
Systematic optical axis angle, i.e. precise measurement camera detector are directed toward and the apparatus and method of focal plane subassembly mounting surface angle are that have very much
It is necessary.
Summary of the invention
The purpose of the present invention is to provide a kind of camera detectors to be directed toward the detection device with focal plane subassembly mounting surface angle
And method, to solve, the prior art is directed toward camera detector and focal plane subassembly mounting surface angle measurement result is inaccurate and operates
Complicated problem.
It is directed toward and focal plane subassembly mounting surface angle in order to solve the above technical problems, the present invention provides a kind of camera detector
Detection device, comprising: test suite and data handling component；
The test suite includes air floating platform, test platform, gantry support, mobile bar, micrometering unit, X-axis rail
Road, Y-axis track and Z axis track；The data handling component includes controller and processing software；
Wherein, X-axis track, Y-axis track and Z axis track are in 3-D walls and floor directional spreding；Camera detector sense to be measured
Smooth surface and focal plane subassembly installation are placed in up on the test platform, and the test platform is set to the Y-axis track
On the air floating platform, and the Y-axis track is located at a side end face of the test platform；The gantry support is erected at described
On air floating platform, the X-axis track is set on the crossbeam of the gantry support, and the Z axis track is set in the mobile bar, institute
Stating mobile bar can be moved in XZ plane by the X-axis track and the Z axis track；The micrometering unit is set to institute
It states on the lower end surface of mobile bar, and blur-free imaging can be carried out to camera detector photosurface to be measured and focal plane subassembly mounting surface；
The controller is connect by transmission line with the test suite, control and the test suite for power supply
Operation；The processing software is used to handle the information of collection point on camera detector and focal plane subassembly mounting surface to be measured, and carries out
Fitting, operation.
Further, it is directed toward in the detection device with focal plane subassembly mounting surface angle in the camera detector, feature
It is, the test suite further includes light source, and the light source is set under the mobile bar around the micrometering unit
On end face.
Further, it is directed toward in the detection device with focal plane subassembly mounting surface angle in the camera detector, feature
It is, the precision of information of the collection point is less than 0.8 μm.
The present invention also provides a kind of camera detectors to be directed toward the detection method with focal plane subassembly mounting surface angle, using as above
The detection device executes detection of the following steps realization to camera detector direction and focal plane subassembly mounting surface angle:
S1: camera detector photosurface to be measured and focal plane subassembly installation are placed in up on the test platform；
S2: the controller is run；
S3: the controller controls the micrometering unit and moves along X-axis track and Z axis track, and described in control
Test platform is moved along Y-axis track so that the micrometering unit can to camera detector photosurface to be detected clearly at
Picture；
S4: n point is uniformly acquired in camera detector photosurface to be detected, the point coordinate of acquisition is sent to and passes through data
Processing component, and plane P1 is fitted to by the processing software in data handling component, and the normal vector for obtaining plane P1 is
S5: step S3 is repeated, so that the micrometering unit can be to focal plane subassembly mounting surface blur-free imaging to be detected；
S6: m point is uniformly acquired in focal plane subassembly mounting surface to be detected, the point coordinate of acquisition is sent to by data
Component is managed, and plane P2 is fitted to by the processing software in data handling component, and the normal vector for obtaining plane P2 is
S7: the angle theta of plane P1 and plane P2 is calculated.
Further, it is directed toward in the detection method with focal plane subassembly mounting surface angle in the camera detector, step S4
Include:
S41: n point is uniformly acquired in camera detector (1) photosurface to be detected, and the coordinate of collection point is denoted as (xi,
yi, zi)；
S42: plane equation is set as ax+by+cz+d=0, i.e. MX=0, matrix M areMatrix X isSolution matrix MTM；
S43: matrix M is obtainedTThe corresponding feature vector of M minimal eigenvalue is the solution of MX=0, then the normal vector of plane P1 isThe normal vector for similarly obtaining plane P2 is
Further, it is directed toward in the detection method with focal plane subassembly mounting surface angle in the camera detector, step S7:
According to formulaThe angle theta of plane P1 and plane P2 is calculated.
Further, it is directed toward in the detection method with focal plane subassembly mounting surface angle in the camera detector, step S4:
N point is uniformly acquired in camera detector photosurface to be detected, wherein n >=8.
Further, it is directed toward in the detection method with focal plane subassembly mounting surface angle in the camera detector, step S7:
M point is uniformly acquired in focal plane subassembly mounting surface to be detected, wherein m=8.
Further, it is directed toward in the detection method with focal plane subassembly mounting surface angle in the camera detector, step S2
Further include: light source is opened, so that the light source carries out illumination around the micrometering unit.
The advantages of camera detector direction of the present invention and the detection device and method of focal plane subassembly mounting surface angle, is such as
Under:
The device carries out sampling site, fitting to camera detector photosurface to be measured and focal plane subassembly mounting surface, can find out two
The angle that the detector in focal plane subassembly is directed toward between system optical axis has been reacted in the angle value of person and angle direction,
The process for testing optical index is converted into mechanical dimension's test, is influenced by temperature, air-flow and vibration minimum；The apparatus structure
Simply, easily operated, testing result precision is high, error is small；Meanwhile the device adaptability is good, can be applied to various camera focal planes
Detector in component is directed toward the angle measurement between system optical axis.
Detailed description of the invention
Fig. 1 is the knot of the detection device of a kind of camera detector direction provided by the invention and focal plane subassembly mounting surface angle
Structure schematic diagram；
Fig. 2 is the schematic diagram of micrometering unit provided by the invention and camera detector and focal plane subassembly to be measured；
Wherein,
1- camera detector；2- focal plane subassembly mounting surface；3-X axis track；4-Y axis track；5- mobile bar；6- micrometering
Unit；7- air floating platform；8- light source；9- controller；10- processing software；11- test platform；12- gantry support.
Specific embodiment
To keep the purpose of the present invention, advantages and features clearer, below in conjunction with the drawings and specific embodiments to the present invention
The camera detector of proposition is directed toward and the detection device and method of focal plane subassembly mounting surface angle are described in further detail.According to
Explanation and claims, advantages and features of the invention will become apparent from below.It should be understood that attached drawing be all made of it is very simple
The form of change and use non-accurate ratio, only for the purpose of facilitating and clarifying the purpose of the embodiments of the invention；Its
Secondary, the structure that attached drawing is shown is often a part of practical structures；Again, the emphasis that each attached drawing needs to show is different, has
When can use different ratios.
Fig. 1 and Fig. 2 is please referred to, the present embodiment provides a kind of camera detectors 1 to be directed toward and 2 angle of focal plane subassembly mounting surface
Detection device characterized by comprising test suite and data handling component；
The test suite includes air floating platform 7, test platform 11, gantry support 12, mobile bar 5, micrometering unit
6, X-axis track 3, Y-axis track 4 and Z axis track (not shown)；The data handling component includes controller 9 and place
Manage software 10；
Wherein, X-axis track 3, Y-axis track 4 and Z axis track are in 3-D walls and floor directional spreding；Camera detector 1 to be measured
Photosurface and focal plane subassembly mounting surface 2 are placed in upward on the test platform 11, the test platform 11 and the Y-axis track
4 are set on the air floating platform 7, and the Y-axis track 4 is located at a side end face of the test platform 11；Gantry branch
Frame 12 is erected on the air floating platform 7, and the X-axis track 3 is set on the crossbeam of the gantry support 12, the Z axis track
In the mobile bar 5, the mobile bar 5 can be moved in XZ plane by the X-axis track 3 and the Z axis track；
The micrometering unit 6 is set on the lower end surface of the mobile bar 5, and can be to 1 photosurface of camera detector to be measured and coke
Face component mounting surface 2 carries out blur-free imaging；
The controller 9 is connect by transmission line with the test suite, control and the test suite for power supply
Operation；The processing software 11 is used to handle the information of collection point on camera detector 1 and focal plane subassembly mounting surface 2 to be measured,
And it is fitted, operation.Preferably, the processing software is adopted on camera detector and focal plane subassembly mounting surface to be measured for handling
Collect the precision of information of point less than 0.8 μm.
The air floating platform 7 is located at test suite bottom as a result, described for the influence vibrated to test process to be isolated
Test platform 11 is for carrying equipment under test；The controller 9 controls the test platform 11 and moves along the y axis, the shifting
Lever 5 drives the micrometering unit 6 to move in XZ plane；The processing software 10 records the micrometering unit 6
To best observation position coordinate.
Specifically, the test platform 11 along the y axis, the mobile bar 5 drive the micrometering unit 6 flat in XZ
It is moved to corresponding position on face, is all that reading counting is carried out by grating scale, the micrometering list is accurately realized with this
6 pairs of member 1 photosurface of camera detector and focal plane subassembly mounting surface 2 to be measured carry out sampling site.The device feels camera detector 1 to be measured
Smooth surface and focal plane subassembly mounting surface 2 carry out sampling site, fitting, can find out the angle value and angle direction of the two, react coke
Detector in the component of face is directed toward the angle between system optical axis, and the process for testing optical index is converted to mechanical ruler
Very little test is influenced minimum by temperature, air-flow and vibration；The apparatus structure is simple, easily operated, and testing result precision is high, misses
Difference is small；Meanwhile the device adaptability is good, the detector that can be applied in various camera focal plane components is directed toward and system optical axis
Between angle measurement.
Preferably, the test suite further includes light source 8, and the light source 8 is set to institute around the micrometering unit 6
On the lower end surface for stating mobile bar 5.The light source 8 guarantees illumination sufficient during the test as a result, when improving acquisition background and
The contrast of target, and then improve imaging precision and acquisition precision.
The present embodiment also provides the detection method of a kind of camera detector direction and focal plane subassembly mounting surface angle, using such as
The upper detection device executes inspection of the following steps realization to camera detector 1 direction and 2 angle of focal plane subassembly mounting surface
It surveys:
Step S1: 1 photosurface of camera detector to be measured and focal plane subassembly mounting surface 2 are placed in the test platform upward
On 11；
Step S2: running the controller 9, opens light source, so that the light source is carried out around the micrometering unit
Illumination；
Step S3: the controller 9 controls the micrometering unit 6 and moves along X-axis track 3 and Z axis track, and control
It makes the test platform 11 to move along Y-axis track 4, so that the micrometering unit 6 can feel camera detector 1 to be detected
Smooth surface blur-free imaging；
Step S4: n point is uniformly acquired in 1 photosurface of camera detector to be detected, the point coordinate of acquisition is sent to logical
Data handling component is crossed, and plane P1 is fitted to by the processing software 10 in data handling component, and obtain the method for plane P1
Vector is
Step S5: repeating step S3, so that the micrometering unit 6 can be clear to focal plane subassembly mounting surface 2 to be detected
Clear imaging；
Step S6: m point is uniformly acquired in focal plane subassembly mounting surface 2 to be detected, the point coordinate of acquisition is sent to and is passed through
Data handling component, and plane P2 is fitted to by the processing software 10 in data handling component, and obtain the normal direction of plane P2
Amount is
Step S7: the angle theta of plane P1 and plane P2 is calculated.
The micrometering unit 6 is observed at optimum position as a result, is clearly imaged, the processing software 10
It is imaged on the coordinate of collection point on camera detector photosurface and focal plane subassembly mounting surface to be detected according to it, can respectively obtain to be checked
The normal vector for surveying camera detector photosurface, focal plane subassembly mounting surface, the angle by acquiring the two normal vector are that the two is flat
The process for testing optical index is converted to mechanical dimension's test, reduces temperature, air-flow and vibration to measurement result by the angle in face
Influence, improve testing result precision, reduce error；Meanwhile the detector that can be applied in various camera focal plane components refers to
To the angle measurement between system optical axis, make to guarantee focal plane subassembly subsequently through the thickness for cutting heat insulating mattress and shape is repaired
In detector be directed toward and the coaxial work of system optical axis be easy to carry out.
Preferably, step S4: n point is uniformly acquired in camera detector photosurface to be detected, wherein n >=8；Step S7:
M point is uniformly acquired in focal plane subassembly mounting surface to be detected, wherein m=8.One collection point of the every survey of micrometering unit 6
A microlens are moved, different XYZ coordinates is recorded.Calculating 1 photosurface of camera detector and focal plane to be detected as a result,
When the plane normal vector of component mounting surface 2, workload can be reduced under the conditions of guaranteeing that its plane normal vector is accurate,
Fast and convenient calculating outlet planar process vector guarantees the accuracy of subsequent detection result.
Specifically, step S4 includes:
S41: n point is uniformly acquired in 1 photosurface of camera detector to be detected, and the coordinate of collection point is denoted as (xi, yi,
zi)；
S42: plane equation is set as ax+by+cz+d=0, i.e. MX=0, matrix M areMatrix X isSolution matrix MTM；
S43: matrix M is obtainedTThe corresponding feature vector of M minimal eigenvalue is the solution of MX=0, then the normal vector of plane P1 isThe normal vector for similarly obtaining plane P2 is
Preferably, step S7: knownWithAccording to formulaMeter
Calculate the angle theta for obtaining plane P1 and plane P2.
In conclusion camera detector provided by the invention be directed toward and focal plane subassembly mounting surface angle detection device and
In method, have the advantages that
The device carries out sampling site, fitting to camera detector photosurface to be measured and focal plane subassembly mounting surface, can find out two
The angle that the detector in focal plane subassembly is directed toward between system optical axis has been reacted in the angle value of person and angle direction,
The process for testing optical index is converted into mechanical dimension's test, is influenced by temperature, air-flow and vibration minimum；The apparatus structure
Simply, easily operated, testing result precision is high, error is small.
Further, the device adaptability is good, and the detector that can be applied in various camera focal plane components is directed toward and optics
Angle measurement between systematic optical axis.
It should be noted last that foregoing description is only the description to present pre-ferred embodiments, not to model of the present invention
Any restriction enclosed, any change, the modification that field those of ordinary skill of the present invention does according to the disclosure above content, belongs to weigh
The protection scope of sharp claim.
Claims (9)
1. a kind of camera detector is directed toward and the detection device of focal plane subassembly mounting surface angle characterized by comprising test group
Part and data handling component；
The test suite includes air floating platform (7), test platform (11), gantry support (12), mobile bar (5), micrometering
Unit (6), X-axis track (3), Y-axis track (4) and Z axis track；The data handling component includes controller (9) and place
It manages software (10)；
Wherein, X-axis track (3), Y-axis track (4) and Z axis track are in 3-D walls and floor directional spreding；Camera detector to be measured
(1) photosurface and focal plane subassembly mounting surface (2) are placed in upward on the test platform (11), the test platform (11) and institute
It states Y-axis track (4) to be set on the air floating platform (7), and the Y-axis track (4) is located at the one of the test platform (11)
Side end face；The gantry support (12) is erected on the air floating platform (7), and the X-axis track (3) is set to the gantry support
(12) on crossbeam, the Z axis track is set on the mobile bar (5), and the mobile bar (5) can pass through the X-axis track
(3) it is moved in XZ plane with the Z axis track；The micrometering unit (6) is set to the lower end surface of the mobile bar (5)
On, and blur-free imaging can be carried out to camera detector (1) photosurface to be measured and focal plane subassembly mounting surface (2)；
The controller (9) is connect by transmission line with the test suite, control and the test suite for power supply
Operation；The processing software (10) is used to handle the letter of collection point on camera detector (1) to be measured and focal plane subassembly mounting surface (2)
Breath, and be fitted, operation.
2. camera detector as described in claim 1 is directed toward and the detection device of focal plane subassembly mounting surface angle, feature exist
In the test suite further includes light source (8), and the light source (8) is set to the movement around the micrometering unit (6)
On the lower end surface of bar (5).
3. camera detector as described in claim 1 is directed toward and the detection device of focal plane subassembly mounting surface angle, feature exist
In the precision of information of the collection point is less than 0.8 μm.
4. a kind of camera detector is directed toward and the detection method of focal plane subassembly mounting surface angle, which is characterized in that using such as right
It is required that any detection device in 1-3, executes following steps and realizes to camera detector direction and focal plane subassembly mounting surface
The detection of angle:
S1: camera detector (1) photosurface to be measured and focal plane subassembly mounting surface (2) are placed in the test platform (11) upward
On；
S2: the controller (9) are run；
S3: it is mobile along X-axis track (3) and Z axis track that the controller (9) controls the micrometering unit (6), and controls
The test platform (11) is mobile along Y-axis track (4), so that the micrometering unit (6) can detect camera to be detected
Device (1) photosurface blur-free imaging；
S4: n point is uniformly acquired in camera detector (1) photosurface to be detected, the point coordinate of acquisition is sent to and passes through data
Processing component, and plane P1 is fitted to by the processing software (10) in data handling component, and obtain the normal vector of plane P1
For
S5: repeat step S3 so that the micrometering unit (6) can to focal plane subassembly mounting surface (2) to be detected clearly at
Picture；
S6: m point is uniformly acquired in focal plane subassembly mounting surface (2) to be detected, the point coordinate of acquisition is sent to by data
Component is managed, and plane P2 is fitted to by the processing software (10) in data handling component, and the normal vector for obtaining plane P2 is
S7: the angle theta of plane P1 and plane P2 is calculated.
5. camera detector as claimed in claim 4 is directed toward and the detection method of focal plane subassembly mounting surface angle, feature exist
In step S4 includes:
S41: n point is uniformly acquired in camera detector (1) photosurface to be detected, and the coordinate of collection point is denoted as (xi, yi,
zi)；
S42: plane equation is set as ax+by+cz+d=0, i.e. MX=0, matrix M areMatrix X isIt asks
Dematrix MTM；
S43: matrix M is obtainedTThe corresponding feature vector of M minimal eigenvalue is the solution of MX=0, then the normal vector of plane P1 isThe normal vector for similarly obtaining plane P2 is
6. camera detector as claimed in claim 4 is directed toward and the detection method of focal plane subassembly mounting surface angle, feature exist
In step S7: according to formulaThe angle theta of plane P1 and plane P2 is calculated.
7. camera detector as claimed in claim 4 is directed toward and the detection method of focal plane subassembly mounting surface angle, feature exist
In step S4: uniformly acquiring n point in camera detector (1) photosurface to be detected, wherein n >=8.
8. camera detector as claimed in claim 4 is directed toward and the detection method of focal plane subassembly mounting surface angle, feature exist
In step S7: uniformly acquiring m point in focal plane subassembly mounting surface (2) to be detected, wherein m=8.
9. camera detector as claimed in claim 4 is directed toward and the detection method of focal plane subassembly mounting surface angle, feature exist
In step S2 further include: open light source (8), so that the light source (8) carries out illumination around the micrometering unit (6).
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111397546A (en) * | 2020-03-23 | 2020-07-10 | 北京交通大学 | Measuring device for flatness, included angle and gap width of spliced black body |
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