JPS5999571A - Forming method of distorted picture - Google Patents

Forming method of distorted picture

Info

Publication number
JPS5999571A
JPS5999571A JP57209939A JP20993982A JPS5999571A JP S5999571 A JPS5999571 A JP S5999571A JP 57209939 A JP57209939 A JP 57209939A JP 20993982 A JP20993982 A JP 20993982A JP S5999571 A JPS5999571 A JP S5999571A
Authority
JP
Japan
Prior art keywords
painting
distorted
coordinates
picture
original
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP57209939A
Other languages
Japanese (ja)
Other versions
JPH0313627B2 (en
Inventor
Yukihiko Takahashi
高橋 由貴彦
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
TOKYO KURIEITEIBU KK
Original Assignee
TOKYO KURIEITEIBU KK
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by TOKYO KURIEITEIBU KK filed Critical TOKYO KURIEITEIBU KK
Priority to JP57209939A priority Critical patent/JPS5999571A/en
Publication of JPS5999571A publication Critical patent/JPS5999571A/en
Publication of JPH0313627B2 publication Critical patent/JPH0313627B2/ja
Granted legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration
    • G06T5/80Geometric correction

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Image Processing (AREA)

Abstract

PURPOSE:To obtain a distorted picture by converting coordinates of an original picture into coordinates of the distorted picture. CONSTITUTION:The output terminal of a digitizer 2 which has a light pen and converts coordinates of a normal picture read with the light pen into a digital signal is connected to the input terminal of a computer 4. The computer 4 is stored with a conversion expression for coordinate conversion from the original picture to the distorted picture and also stored with a program for finding coordinate values from the input data on the basis of the conversion expression. The output terminal of the computer is connected to a plotter 6 such as an X-Y plotter. When the light pen is moved along the contour of the original picture, the coordinates of the original picture are read and converted into those of the distorted picture, which is drawn on the plotter.

Description

【発明の詳細な説明】 本発明は歪曲絵画の作成方法に係り、特に、歪曲絵画上
に反射体を載置してこの反射体からの反射光を用いて歪
のない像を結像させる際に使用される歪曲絵画の作成方
法に関する。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method for creating a distorted painting, and particularly to a method for forming a distortion-free image by placing a reflector on the distorted painting and using reflected light from the reflector. Concerning the method of creating distorted paintings used in

従来より、歪曲絵画の略中央部に、側面が反射面で形成
された略円柱状の反射体を載置し、この反射体の側面を
目視することによって歪のない正常な絵画を見得るよう
にした、いわゆるだまし絵またはぜや絵と称する遊戯面
が知られている。この歪曲絵画を作成するにあたっては
、正常な絵画を反射体に写して歪曲させ、絵師が歪曲絵
画を目視して描写していた。従って、歪曲絵画の作成に
長時間を要する、という問題があった。
Conventionally, a roughly cylindrical reflector with reflective surfaces is placed approximately in the center of a distorted painting, and by visually observing the sides of this reflector, a normal painting without distortion can be seen. A game surface called trompe l'oeil or zeya-e is known. To create this distorted painting, a normal painting was copied onto a reflective object and distorted, and the artist visually described the distorted painting. Therefore, there is a problem in that it takes a long time to create a distorted painting.

本発明は、上記問題点を解消すべく成されたもので、短
時間で歪曲絵画を作成することができる歪曲絵画の作成
方法を提供することを目的とする。
The present invention has been made to solve the above-mentioned problems, and an object of the present invention is to provide a method for creating a distorted painting that can create a distorted painting in a short time.

上記目的を達成するために本発明の構成は、歪のない原
画の座標を歪曲絵画の座標に変換する変換式を予めコン
ピュータに記憶させ−Cおき、前記原画の輪郭に沿って
ライトペンを移動させて原画の座標をコンピュータに人
力し、前記変換式を用いて原画の座標を歪曲絵画の座標
眞変換し、ブロックを用いて歪曲絵画を作成するように
したものである。
In order to achieve the above object, the present invention stores in advance a conversion formula for converting the coordinates of an undistorted original painting into the coordinates of a distorted painting, and moves a light pen along the outline of the original painting. Then, the coordinates of the original picture are manually entered into a computer, and the coordinates of the original picture are transformed into the coordinates of the distorted painting using the conversion formula, and the distorted picture is created using blocks.

次に、反射体として側面全体が反射面で形成された円柱
状反射体を用いた場合の変換式について説明する。
Next, a conversion equation will be described when a cylindrical reflector whose entire side surface is formed of a reflective surface is used as the reflector.

まず、第1図に示す歪のない正常な絵画(原画)面上に
Y軸、y軸をと9、その交点を原点0(xo、yo)と
する。また、Y軸およびy軸上に等間隔で複数の点をと
り、これらの点を通る直線によって正常な絵画を例えば
40等分に区分する。従って、これらの区分線は、次の
ように表わされる。
First, on the plane of a normal painting (original picture) without distortion shown in FIG. 1, let the Y axis be 9, and the intersection thereof be the origin 0 (xo, yo). Further, a plurality of points are taken at equal intervals on the Y-axis and the y-axis, and a normal painting is divided into, for example, 40 equal parts by straight lines passing through these points. Therefore, these dividing lines are expressed as follows.

X−±xi (ただし、1−0.1.2.3.4 )−
−−−・・my=yj (ただし、j=o、1. 2.
3.4.5)・・・(2)また、第2図に示すように、
上記の正常な絵画を歪曲させた歪曲絵画を想定し、この
歪曲絵画上に極座標をとり、Xを角度、Yを線分の長さ
として平面上の点t (X%、Y )で表わすと共に、
原点1oとする。そして、上記(11、(2+式で示さ
れる正常な絵画の区分線に対応する歪曲絵画の区分線を
次のように表わす。
X-±xi (however, 1-0.1.2.3.4)-
---...my=yj (however, j=o, 1. 2.
3.4.5)...(2) Also, as shown in Figure 2,
Assuming a distorted painting that is a distortion of the above normal painting, take polar coordinates on this distorted painting, express it as a point t (X%, Y) on the plane, where X is the angle and Y is the length of the line segment, and ,
Let the origin be 1o. Then, the dividing line of the distorted painting corresponding to the dividing line of the normal painting shown by the above equation (11, (2+) is expressed as follows.

X=±X1       ・・川・・・・・・・・・・
 +31Y=Y、1       ・・・・・・・・・
・・・・・・(4)次に、第3図に示すように、半径R
の円柱状反射体の軸綜を2軸とし、このY軸が歪曲絵画
の原点0を通るように、円柱状反射体を歪曲絵画上に立
設させる。そして、視点Vから円柱状反射体の反射面を
目視した場合について考える。
X=±X1 ・・River・・・・・・・・・・
+31Y=Y, 1 ・・・・・・・・・
......(4) Next, as shown in Figure 3, the radius R
The cylindrical reflector has two axes, and the cylindrical reflector is erected on the distorted painting so that the Y-axis passes through the origin 0 of the distorted painting. Next, consider a case where the reflective surface of the cylindrical reflector is visually observed from the viewpoint V.

第2図において、例えば、X−X2の直線とY=Yjの
直線との交点をそれぞれP。XP+ 、”2、”8 、
P4 、”!1とすると、各点から射出された光線は、
第3図に示すように、円柱状反射体の反射面で反射され
て視点Vに到達する。ここで、点P!lから射出された
光線の円柱状反射体への入射角を1とし、各点P。−P
、につぃて、円柱状反射体の反射面に対して対称な点を
各々p o /〜P 、/とし、視点■と点P、との間
の距離をlとすると、視点VのY、Z座標は次のように
表わされる。
In FIG. 2, for example, the intersections of the line X-X2 and the line Y=Yj are respectively P. XP+, “2,”8,
P4, “!1”, the ray emitted from each point is
As shown in FIG. 3, the light is reflected by the reflective surface of the cylindrical reflector and reaches the viewpoint V. Here, point P! Let the incident angle of the ray emitted from l to the cylindrical reflector be 1, and each point P. -P
, let the points symmetrical with respect to the reflective surface of the cylindrical reflector be p o /~P, /, and let the distance between the viewpoint ■ and the point P be l, then Y of the viewpoint V , Z coordinates are expressed as follows.

Y= 7房1− R・・・・・・川・・・・・・(5)
z=llS□。1     ・・曲・曲間(6)次に原
点Oから各点p 、/〜p 、/までの距離を求める。
Y = 7 bunches 1- R... River... (5)
z=llS□. 1. Song/song interval (6) Next, find the distance from the origin O to each point p, / to p, /.

丑ず点p o /〜p 、/の任意の一点を選び、この
点をPm′(ただし、mは0〜5の整数のいずれがであ
る)とする。原点0と点Pm′との間の距離OPm′は
、上記t51 、(6)式を用いると、次のように表わ
される。
Select any one point from the point P o /~p, /, and let this point be Pm' (where m is any integer from 0 to 5). The distance OPm' between the origin 0 and the point Pm' can be expressed as follows using the above equation t51 and (6).

ただし、LP、’VP、’=θとし、LP4’ v’P
、’、fP8’vP2’、LP2’ yP1’ オJ:
 0.乙”I’VPo’tθテ近似する。
However, if LP, 'VP,'=θ, LP4'v'P
,',fP8'vP2',LP2'yP1' OJ:
0. Approximate "I'VPo'tθte".

−7As1n i OPm =        −Acosi + R・曲
間(7)−1i−(5m)θl また、点P。′〜P、′と対称の点P。−P、の任意の
一点を選び、この点iPmとすると、原点0と点Pmと
の間の距Pmar−は次の(8)式で表わされる。
−7As1ni OPm = −Acosi + R・Song interval (7) −1i−(5m) θl Also, point P. ′~P, a point P that is symmetrical to ′. -P, and if this point iPm is selected, then the distance Pmar- between the origin 0 and the point Pm is expressed by the following equation (8).

5ini QP、Ω=□□− 、、L □< 5−m) as +” ドア C0Si
 ’   °用°°曲°(8)ここで、歪曲絵画上の座
標を組単位で表わすために、上記(8)式を変形して茨
の(9]式とし、歪曲絵画のX、Y座標を次のoC!、
00式で表わす。ただし、XIfQl+はX=X3の直
線、Y軸はx=xoの直線である。
5ini QP, Ω=□□- ,, L □< 5-m) as +” Door C0Si
'° for °°curve° (8) Here, in order to express the coordinates on the distorted painting in units of pairs, we transform the above equation (8) into the thorny equation (9), and use the X, Y coordinates of the distorted painting as equation (9). Next oC!,
It is expressed by the formula 00. However, XIfQl+ is a straight line where X=X3, and the Y axis is a straight line where x=xo.

X= OPsjn□ 2M                  ・・・・・
・・・・・・・・・・・・・・・・00Y = −QP
部2M、         ・・・・・・・・・・・・
・・・・・・・・・αυただし、1は入射角、aは原画
のy軸方向の全長、Nはaを等分割した数(分割斂が多
い程1iiV度が上る。ここでは間単位が便利なのでa
=Nとした。)、すなわちNはt matがa/Nと表
わされる数値であり、例えばa = 43 mvtのと
きN=43である。なお、N・θ=1.!:27;、0
−jJた1yは原画のy座標値(ただし正の値)、Xは
原画のX座標値、lは目から歪曲絵画の最も内側のY軸
までの距離、Rは円筒鏡の半径(mm単位)、Mは歪曲
絵画のX3軸とX、軸とがY軸に対して直角になるため
の定数である。例えば、X=−25,8、X=+ 25
.8 とすればπx / 2 Mより、M=25.8と
なる。更に、角度は全てラジアンとする。
X= OPsjn□ 2M...
・・・・・・・・・・・・・・・00Y = -QP
Part 2M, ・・・・・・・・・・・・
・・・・・・・・・αυHowever, 1 is the incident angle, a is the total length of the original image in the y-axis direction, and N is the number of equal parts of a (the more the division convergence is, the higher the 1iiV degree is.Here, the interval unit is is convenient, so a
=N. ), that is, N is a numerical value where t mat is expressed as a/N; for example, when a = 43 mvt, N = 43. Note that N・θ=1. ! :27;,0
-jJ is the y coordinate value (positive value) of the original painting, X is the X coordinate value of the original painting, l is the distance from the eye to the innermost Y axis of the distorted painting, R is the radius of the cylindrical mirror (in mm) ), M is a constant for making the X3 axis and the X, axis of the distorted painting perpendicular to the Y axis. For example, X=-25,8, X=+25
.. 8, M=25.8 from πx/2 M. Furthermore, all angles are in radians.

次に、1−−1N :43、a=43Hz、7=325
mm、R=34ma、M=25.8とした場合の原画の
xSy座標値、歪曲絵画のX、Y座標値を各々表15表
2に示す。
Next, 1--1N: 43, a=43Hz, 7=325
The xSy coordinate values of the original painting and the X, Y coordinate values of the distorted painting are shown in Table 15 and Table 2, respectively, when mm, R=34ma, and M=25.8.

次に、本発明を実施するだめの装置について説明する。Next, an apparatus for carrying out the present invention will be described.

第4図に示すよう罠、ライトペンを備えかつライトペン
により読込まれた正常な絵画の座標をディジタル信号に
変換するディジタイザ2の出力端は、コンピュータ4の
入力端に接続されている。コンピュータ4には、上記(
lO)、(11)式が記憶されると共に、入力されたデ
ータから0の、Of)式に基づいてX、Yの値を求める
ためのプログラムが記憶されている。そして、コンピュ
ータの出力端は、X−Yブロック等のプロッタ6に接続
されている。上記ライトペンを歪のない絵画、すなわち
原画の輪郭に沿って移動させると、原画の座標が読取ら
れると共に、コンピュータによって歪曲絵画の座標に変
換され、ブロックに駆動信号が出力される。そして、プ
ロッタは、上記駆動信号に基づいて駆動され、歪曲絵画
を描き出す。
As shown in FIG. 4, the output end of a digitizer 2 which is equipped with a trap and a light pen and which converts the coordinates of a normal painting read by the light pen into a digital signal is connected to the input end of a computer 4. Computer 4 has the above (
1O) and (11) are stored, and a program for calculating the values of X and Y based on the 0 and Of) equations from input data is also stored. The output end of the computer is connected to a plotter 6 such as an X-Y block. When the light pen is moved along the outline of an undistorted painting, that is, an original painting, the coordinates of the original painting are read and converted by the computer into the coordinates of a distorted painting, and a driving signal is output to the block. The plotter is then driven based on the drive signal to draw a distorted picture.

次に、光学的方法によって歪曲絵画を作成する方法につ
いて説明する。第5図に示すように、印画紙8上に円柱
状反射体10を立設させておき、投映器12f:用いて
歪のない正常な絵画が撮像された原板14の像を、円柱
状反射体【0の反射面を介して印画紙s上に結像される
Next, a method of creating a distorted painting using an optical method will be explained. As shown in FIG. 5, a cylindrical reflector 10 is set upright on the photographic paper 8, and an image of the original plate 14 on which a normal painting without distortion is imaged is projected using the cylindrical reflector 12f. An image is formed on the photographic paper s through the reflective surface of the body 0.

投映器12は、ブC源L2aと、光源12aから射出さ
れる光線を集光する第1の光学系12bと、原板14を
通過した光線を集光して原板t4に撮像された像を印画
紙8上に結像させる第2の光学系12C,アオリ用の蛇
腹12d1絞り12i3を備えており、第1の光学系1
2bと蛇腹12dとの間に原板14が挿入されている。
The projector 12 includes a light source L2a, a first optical system 12b that collects the light beam emitted from the light source 12a, and a first optical system 12b that collects the light beam that has passed through the original plate 14 and prints the image captured on the original plate t4. It is equipped with a second optical system 12C that forms an image on the paper 8, a bellows 12d1 for tilting, and an aperture 12i3, and the first optical system 1
An original plate 14 is inserted between the bellows 2b and the bellows 12d.

また、M2の光学系tZCの光軸罠垂直な直線lと、原
板14の面に対して平行でかつ原板14を通る直amと
は、印画紙8面上の点Pで交わり、必要なアオリθを持
つように、蛇腹12dを調整することによって第2の光
学系12cの光軸が傾斜されている。。
In addition, a straight line l perpendicular to the optical axis trap of the M2 optical system tZC and a straight line am that is parallel to the surface of the original plate 14 and passes through the original plate 14 intersect at a point P on the surface of the photographic paper 8, and the necessary angle By adjusting the bellows 12d, the optical axis of the second optical system 12c is tilted so as to have the angle θ. .

上記の装置において、光源12aから元を照射すると、
この光線は、第1の光学系12+)、原板14、第2の
光学系120.絞シ12111および円柱状反射体10
の反射面を介して印画紙8上に到達し、原板14に撮像
された像を印画紙8上に結像させる。この場合において
、第2のyC学系12Cの9“C1′1IllI上に円
柱状反射体10が存在するため、印画紙8」二の結像は
、ガウス領域をはずれて著しく球面収善ヲもつことにな
る。このため、この光学的方法においては、第2の光学
系120の直前に設置jられた絞り12eの絞り数を最
小にしておき、すなわち、絞り12 e f開放状蝮に
しておき、絞り12eの絞り数を徐々に大きくして、す
なわち、絞り1281徐々に絞って、焦点深度を大きく
している。この結果、印画紙8上の像の円柱状反射体1
0に最も近い点から遠い点にかけて、徐々にピントがあ
ってゆき、全体として鮮明度の良好な像が得られる。
In the above device, when the source is irradiated from the light source 12a,
This light beam is transmitted to the first optical system 12+), the original plate 14, the second optical system 120. Aperture 12111 and cylindrical reflector 10
The light reaches the photographic paper 8 through the reflective surface of the original plate 14 and forms an image on the photographic paper 8. In this case, since the cylindrical reflector 10 exists on 9"C1'1IllI of the second YC system 12C, the image formed on the photographic paper 8"2 deviates from the Gaussian region and has a remarkable spherical convergence. It turns out. Therefore, in this optical method, the number of apertures of the aperture 12e installed immediately before the second optical system 120 is minimized, that is, the aperture 12e is kept open, and the aperture number of the aperture 12e is set to a minimum. The number of apertures is gradually increased, that is, the aperture 1281 is gradually stopped down to increase the depth of focus. As a result, the cylindrical reflector 1 of the image on the photographic paper 8
The focus gradually comes from the point closest to 0 to the point farthest from 0, and an overall image with good clarity is obtained.

なお、上記においては、円柱状反射体を用いた例につい
て説明したが、本発明はこれに限定されるべきものでな
く、変換式を変更すること等によって球状反射体および
円錐状反射体等の各種の反射体を1史用することができ
るものである。
Although the above example uses a cylindrical reflector, the present invention is not limited to this and can be applied to spherical reflectors, conical reflectors, etc. by changing the conversion formula, etc. Various types of reflectors can be used for one cycle.

【図面の簡単な説明】[Brief explanation of drawings]

第1図は、歪のない正常な絵画を示す平面図、第2図は
、第1図に対応する歪曲絵画を示す平面図、第3図は、
交換式を説明するための説明図、第4図は、コンピュー
タを用いて本発明を実施するためのブロック図、yE5
図は、光学的に歪曲絵画を作成するためにpξ用妊れる
装竹の概略図である。 2・・・ディジタイザ、 4・・・コンピュータ、 6・・・ブロック。 代理人  鵜  沼  辰  之 (ほか2名) 第1図 第2図
Fig. 1 is a plan view showing a normal painting without distortion, Fig. 2 is a plan view showing a distorted painting corresponding to Fig. 1, and Fig. 3 is a plan view showing a normal painting without distortion.
An explanatory diagram for explaining the exchange type, FIG. 4 is a block diagram for implementing the present invention using a computer, yE5
The figure is a schematic diagram of a pξ mounting for creating optically distorted paintings. 2...Digitizer, 4...Computer, 6...Block. Agent Tatsuyuki Unuma (and 2 others) Figure 1 Figure 2

Claims (1)

【特許請求の範囲】 【1)歪曲絵画上に反射体を載置し、該反射体からの反
射ブCを用いて歪のない像を結像させる際に用いられる
i+■記歪曲絵画を作成するにあたって、歪みのない原
画の座標を歪曲絵画の座標に変換する変換式を予めコン
ピュータに記憶させておき、前記原画の輪郭に沿ってラ
イトペンを移動させて該原画の座標を@記コンピュータ
に入力し、前記変換式を用いて前記原画の座標を前記歪
曲絵画の座標に変換し、プロッタを用いて前記歪曲絵画
を作成することを特徴とする歪曲絵画の作成方法。
[Scope of Claims] [1] A reflector is placed on the distorted painting, and the i+■ distorted painting is created, which is used to form an undistorted image using the reflection plate C from the reflector. To do this, a conversion formula for converting the coordinates of the undistorted original painting to the coordinates of the distorted painting is stored in the computer in advance, and the coordinates of the original painting are transferred to the computer by moving a light pen along the outline of the original painting. A method for creating a distorted painting, comprising: inputting the coordinates of the original painting into the coordinates of the distorted painting using the conversion formula, and creating the distorted painting using a plotter.
JP57209939A 1982-11-30 1982-11-30 Forming method of distorted picture Granted JPS5999571A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP57209939A JPS5999571A (en) 1982-11-30 1982-11-30 Forming method of distorted picture

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP57209939A JPS5999571A (en) 1982-11-30 1982-11-30 Forming method of distorted picture

Publications (2)

Publication Number Publication Date
JPS5999571A true JPS5999571A (en) 1984-06-08
JPH0313627B2 JPH0313627B2 (en) 1991-02-22

Family

ID=16581161

Family Applications (1)

Application Number Title Priority Date Filing Date
JP57209939A Granted JPS5999571A (en) 1982-11-30 1982-11-30 Forming method of distorted picture

Country Status (1)

Country Link
JP (1) JPS5999571A (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0382495A2 (en) * 1989-02-08 1990-08-16 Canon Kabushiki Kaisha Figure processing apparatus
JPH03130881A (en) * 1989-10-17 1991-06-04 Kajima Corp Method for reproducing anamorphous picture

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS57101989A (en) * 1980-12-18 1982-06-24 Fujitsu Ltd Input system of line pattern

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS57101989A (en) * 1980-12-18 1982-06-24 Fujitsu Ltd Input system of line pattern

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0382495A2 (en) * 1989-02-08 1990-08-16 Canon Kabushiki Kaisha Figure processing apparatus
US5457755A (en) * 1989-02-08 1995-10-10 Canon Kabushiki Kaisha Figure processing apparatus
JPH03130881A (en) * 1989-10-17 1991-06-04 Kajima Corp Method for reproducing anamorphous picture

Also Published As

Publication number Publication date
JPH0313627B2 (en) 1991-02-22

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