JPS61256211A - Identification for shape of object - Google Patents
Identification for shape of objectInfo
- Publication number
- JPS61256211A JPS61256211A JP9845685A JP9845685A JPS61256211A JP S61256211 A JPS61256211 A JP S61256211A JP 9845685 A JP9845685 A JP 9845685A JP 9845685 A JP9845685 A JP 9845685A JP S61256211 A JPS61256211 A JP S61256211A
- Authority
- JP
- Japan
- Prior art keywords
- shape
- measured
- dimensions
- parallel
- measuring
- 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.)
- Pending
Links
- 238000001514 detection method Methods 0.000 claims abstract description 19
- 238000005259 measurement Methods 0.000 claims description 17
- 238000000034 method Methods 0.000 claims description 5
- 230000003287 optical effect Effects 0.000 abstract description 14
- 238000012545 processing Methods 0.000 abstract description 10
- 238000006243 chemical reaction Methods 0.000 abstract description 2
- 230000001678 irradiating effect Effects 0.000 abstract description 2
- 238000005286 illumination Methods 0.000 description 6
- 238000010586 diagram Methods 0.000 description 3
- 238000012850 discrimination method Methods 0.000 description 3
- 241000276457 Gadidae Species 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 230000002950 deficient Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000004065 semiconductor Substances 0.000 description 1
Classifications
-
- 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
- G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
- G01B11/2433—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures for measuring outlines by shadow casting
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Length Measuring Devices By Optical Means (AREA)
Abstract
Description
【発明の詳細な説明】
(産業上の利用分野)
本発明は光を利用し、非接触で棒材、軸等の形状を判別
する方法に関する。DETAILED DESCRIPTION OF THE INVENTION (Field of Industrial Application) The present invention relates to a method of determining the shape of a bar, shaft, etc. without contact using light.
(従来の技術)
従来、棒材、軸等の形状において、円筒度、曲り、テー
バ等の形状を判別する場合には、種々の形状に適するゲ
ージ等の測定器を選択し、夫々を被測定物体の形状を測
定しようとする測定端部に当接させる等して種々の形状
を判別している。(Prior art) Conventionally, when determining the shape of bars, shafts, etc., such as cylindricity, bending, taber, etc., measuring instruments such as gauges suitable for various shapes are selected, and measuring instruments for each are measured. Various shapes are discriminated by, for example, making contact with the measuring end of the object whose shape is to be measured.
一方、このようにゲージ等を被測定物体に接触させて形
状判別を行うという方法に対し、光を利用した物体の形
状判別方法は、それが非接触で行え、又自動化が容易で
あるが故に最近盛んに利用されつつある。その−例とし
ては被測定物体を特定の測定台に!置し、これに所定方
向から照明灯を当てるとともに、ITv(工業用TVカ
メラ)あるいはCODカメラ等で撮影(撮像)し、この
画像信号を計算機等で処理することで物体の形状を判別
するようにしたものがある。On the other hand, in contrast to this method of determining the shape of an object by bringing a gauge or the like into contact with it, methods of determining the shape of an object using light can be performed without contact and are easy to automate. It has been widely used recently. For example, place the object to be measured on a specific measuring table! The shape of the object can be determined by shining an illumination light on it from a predetermined direction, photographing it with an ITv (industrial TV camera) or COD camera, etc., and processing this image signal with a computer, etc. There is something I did.
(発明が解決しようとする問題点)
しかしながら従来の形状判別方法にあっては、前者の場
合は夫々の形状を有する被測定物体に対し、ゲージ等を
選別しなければならず、この作業が煩雑である。又、こ
れを測定端部に当接させてその適合の度合等を調べなけ
ればならないという作業は自動化が難しく、従って作業
効率が低下し、生産能率が低下する。(Problem to be solved by the invention) However, in the former case, in the conventional shape discrimination method, it is necessary to select a gauge etc. for each object to be measured having each shape, and this work is complicated. It is. Further, it is difficult to automate the work of bringing the measuring end into contact with the measuring end to check the degree of conformity, etc., and therefore the work efficiency is lowered and the production efficiency is lowered.
一方、後者の場合は非接触で、自動化が容易であるが、
従来のものはITVカメラ、計算機及び照明灯等の測定
装置の構成及び設定が複雑でコストが高くなり、又測定
できる被測定物体の大きさ等にも限界があった。On the other hand, the latter is contactless and easy to automate;
In the conventional method, the structure and setting of measurement devices such as an ITV camera, a computer, and a lighting lamp are complicated, resulting in high cost, and there are also limits to the size of the object to be measured.
そこで本発明の目的とする処は、物体の形状判別が非接
触で行え、且つ測定装置等の構成及び設定が容易で、被
測定物体の大きさに拘わらず常に同一の精度(分解能)
で形状判別が行い得る形状判別方法を提供するにある。Therefore, the object of the present invention is to be able to determine the shape of an object without contact, to easily configure and set up a measuring device, etc., and to always maintain the same accuracy (resolution) regardless of the size of the object to be measured.
The object of the present invention is to provide a shape discrimination method that can perform shape discrimination.
(上記問題点を解決するための手段及び作用)上記問題
点を解決するため本発明は、二本の平行光線(10)、
(10)を夫々の一部が被測定物体(9)の測定端部(
9a) 、(9b)に遮られるべく照射し、前記平行光
線(10)、(10)のうち被測定物体(9)により遮
られた領域Wa 、 Wb (あるいは遮られなかっ
た領域)を検出することで被測定物体(8)の少なくと
も二か所以上(A 、 B 、 C)の測定端部を検出
し、該検出信号に基づいて予め設定されている被測定物
体の形状を判別するようにしたため物体の形状判別が非
接触で行え、且つ測定装置等の構成及び設定が容易で、
被測定物体の大きさに拘わらず常に同一の精度(分解能
)で形状判別が行い得る。(Means and operations for solving the above problems) In order to solve the above problems, the present invention provides two parallel rays (10),
(10), each part of which is the measurement end of the object to be measured (9) (
9a), (9b), and detect areas Wa, Wb (or unobstructed areas) of the parallel rays (10), (10) that are blocked by the object to be measured (9). Thus, at least two measurement ends (A, B, and C) of the object to be measured (8) are detected, and the preset shape of the object to be measured is determined based on the detection signals. Therefore, the shape of the object can be determined without contact, and the configuration and setting of the measuring device etc. is easy.
Regardless of the size of the object to be measured, shape discrimination can always be performed with the same accuracy (resolution).
(実施例) 以下に本発明の実施例を添付図面に基づいて説明する。(Example) Embodiments of the present invention will be described below based on the accompanying drawings.
第1図は本発明の実施例をカムシャフトのシャフト部の
外径寸法を測定する場合に例をとって示した概略図であ
る。FIG. 1 is a schematic diagram illustrating an embodiment of the present invention in the case of measuring the outer diameter dimension of a shaft portion of a camshaft.
符号(1)、(1)で示す光センサは集光レンズ(2)
。The optical sensors indicated by symbols (1) and (1) are condensing lenses (2)
.
(2)を備えた受光部(3)、(3)と光信号を電荷等
の電気信号に変換するトランスデユーサ(4) 、(4
)を備えたトランスデユーサ部(5)、(5)とから成
る。(2) and a transducer (4) that converts the optical signal into an electric signal such as a charge.
) and a transducer section (5).
一方符号(El)、(6)で示す照明装置は光源(7)
、(7)と、この光源(7)、(7)からの光を平行光
線として照射するための投光レンズ(8)、(8)を備
えてなり、これら2台の光センサ(1)、(1)及び照
明装置(8) 、(e)は、夫々がシャフト部(9)を
中心として対称となる位置に各光センサ(1)と照明装
置(6)が互いに相対向すべく、且つ各照明装置(8)
から光センサ(1)への平行光線(10) 、 (10
)の一部がシャフト部(9)の径方向両端部(9a)
、(9a)に遮られるべく配置される。On the other hand, the lighting device indicated by the symbol (El) and (6) is a light source (7).
, (7) and projecting lenses (8), (8) for irradiating the light from the light sources (7), (7) as parallel rays, and these two optical sensors (1) , (1) and the illumination device (8), (e) are such that each optical sensor (1) and the illumination device (6) face each other in symmetrical positions with respect to the shaft portion (9), respectively. And each lighting device (8)
Parallel light rays (10) from to the optical sensor (1), (10
) are both radial ends (9a) of the shaft portion (9).
, (9a).
トランスデユーサ(4)、(4)はフォトダイオードあ
るいはCOD (チャージカップルドデバイス)を所定
の間隔を有して平行光線(10)、(10)と直交すべ
く直線状に配列した半導体イメージセンサから構成され
る。各素子(11)・・・は演算処理装置(12)によ
って駆動されるパルス発生装置(13)からのタイミン
グパルスにより一定時間毎に順次駆動され、その出力信
号は並−直列変換回路(14)、(14)により直列に
変換され1本の信号線で処理回路(15)、(15)に
送られる。The transducers (4), (4) are semiconductor image sensors in which photodiodes or CODs (charge coupled devices) are arranged in a straight line at a predetermined interval so as to be orthogonal to the parallel beams (10), (10). It consists of Each element (11)... is sequentially driven at fixed time intervals by a timing pulse from a pulse generator (13) driven by an arithmetic processing unit (12), and the output signal is sent to a parallel-to-serial conversion circuit (14). , (14), and sent to the processing circuits (15), (15) through one signal line.
演算処理装置(12)は、各処理回路(15)、(15
)の出力信号に基づきシャフト部(8)の各測定端部(
9a)、(9b)の位置を検出し、測定端部(9a)、
(9b)間の寸法を算出するもので、各測定端部(9a
)、(sb)の検出は光センサ(la)(lb)への平
行光線(10a)。The arithmetic processing unit (12) includes each processing circuit (15), (15
) of each measurement end of the shaft (8) based on the output signal of
9a) and (9b), and detect the positions of the measuring end (9a),
(9b) to calculate the dimension between each measurement end (9a
), (sb) are detected by parallel light beams (10a) to optical sensors (la) and (lb).
(10b)のうち、カムシャフトの再測定端部(9a)
。Of (10b), the re-measurement end of the camshaft (9a)
.
(9b)により遮蔽された部分の幅Wa、Wbを検出す
ることで行なわれる。そしてここでは光学像の倍率、寸
法あるいはセンサ素子(11)・・・の配列間隔、及び
平行光線との垂直面内における光センサ(1)、(1)
間の距離W+等の既知の値を必要に応じて使用した所定
の演算がなされる。This is done by detecting the widths Wa and Wb of the portions shielded by (9b). Here, the magnification and dimensions of the optical image or the arrangement interval of the sensor elements (11), and the optical sensors (1), (1) in the plane perpendicular to the parallel light rays are discussed.
A predetermined calculation is performed using a known value such as the distance W+ between the two as necessary.
第2図、第3図は本実施例を示す全体図であり、水平と
なるべく両端部が支持されたシャフト部(9)に対し、
光センサ(1)及び照明装置(6)を夫々内部に備えた
検出部(20)、(20)は、各光センサ(1)及び照
明装置(6)が第1図で示したと同じ配置構成となるべ
く配設されている。FIG. 2 and FIG. 3 are overall views showing this embodiment.
The detection units (20) and (20) each having an optical sensor (1) and an illumination device (6) therein have the same arrangement configuration as each optical sensor (1) and illumination device (6) shown in FIG. It is arranged as much as possible.
各検出部(20) 、(20)は夫々送りネジ(21)
、(21)に螺合して取り付けられ、この送りネジ(2
1)。Each detection part (20), (20) has a feed screw (21) respectively.
, (21), and this feed screw (2
1).
(21)はシャフト部(9)と平行となるべく回動自在
に支持され、その一端部がモータ(22)の駆動軸に接
続される。(21) is rotatably supported parallel to the shaft portion (9), and one end thereof is connected to the drive shaft of the motor (22).
斯くして検出部(20) 、(20)はモータ(22)
の回動により、矢印A、B方向、即ちシャフト部(9)
の軸方向に沿って所定長さに亘り移動可能であり、この
間に少なくとも二か所以上の測定端部(9a)。In this way, the detection unit (20) and (20) are the motor (22).
Due to the rotation, the direction of arrows A and B, that is, the shaft part (9)
The measuring end (9a) is movable over a predetermined length along the axial direction of the measuring end (9a).
(8b)の位置を検出し、その検出信号は信号ライン(
18)により演算処理回路(12)に送られる。The position of (8b) is detected, and the detection signal is sent to the signal line (
18) to the arithmetic processing circuit (12).
今、ここでは第4図に示す如く所定長さの間において、
測定端部(9a)、(9b)の夫々三カ所A。Now, as shown in FIG. 4, between a predetermined length,
Three locations A at each of the measurement ends (9a) and (9b).
B、Cにおいて検出を行い、これに基づいて予め設定さ
れた真直円筒形状(I)、太鼓形状(n)、湾曲形状(
■)、テーバ形状(■)、鼓形状(V)の形状を判別す
る一例を第5図のフローチャートに基づいて説明する。Detection is performed in B and C, and based on this, the preset straight cylindrical shape (I), drum shape (n), and curved shape (
An example of determining the shapes of (2), Taber shape (■), and drum shape (V) will be explained based on the flowchart of FIG.
先ずステップ(31)においてモータ(22)を駆動さ
せて検出部(20) 、 (20)を移動せしめ、ステ
ップ(32)において測定端部(9a)、(9b)の夫
々三カ所(A 、 B 、 C点)を検出する。ここで
はA、B。First, in step (31), the motor (22) is driven to move the detection units (20) and (20), and in step (32), the detection units (20) and (20) are moved at three locations (A, B) respectively on the measurement ends (9a) and (9b). , C point) is detected. Here A and B.
C点における測定端部(3a)側の検出値を夫々Wla
、W2a 、W3a、@足端部(9b)側の検出値を
夫々W Ib 、 W2 b 、 W3 bとする。尚
、ループ(33)においてステップ(30で示すタイマ
は検出部(20)、 (20)が所定の位置に到達する
まで測定を一時停止するためのものである。こうしてA
、B。The detected values on the measurement end (3a) side at point C are respectively Wla
, W2a, W3a, and the detected values on the @foot end (9b) side are respectively defined as W Ib, W2 b, and W3 b. In addition, in the loop (33), the timer indicated by step (30) is used to temporarily stop the measurement until the detection units (20), (20) reach a predetermined position.
,B.
C点の検出が終了するとステップ(35)においてモー
タ(22)を停止するとともに次のステップ(36)に
おいて夫々三点における寸法(直径)W^ 、W、。When the detection of point C is completed, the motor (22) is stopped in step (35), and the dimensions (diameters) W^, W, at the three points are determined in the next step (36).
Wcを算出する。ステップ(37)はこれらの寸法W^
、WI 、Wcが全て同じ値かどうか判断するもので
、全て等しい場合にはステップ(38)において測定端
部(la)、(9b)の内のいずれか一方の検出値が全
て等しいかどうかが判断され、等しい場合には被測定物
体(9)は真直形状(1)、等しくない場合には湾曲形
状(III)であることが夫々ステップ(39) 、(
ao)にて出力される。Calculate Wc. Step (37) is these dimensions W^
, WI, and Wc are all the same value. If they are all equal, it is determined in step (38) whether the detected values of either one of the measurement ends (la) and (9b) are all equal. If they are equal, the object to be measured (9) has a straight shape (1), and if they are not equal, it has a curved shape (III) in steps (39) and (39), respectively.
ao) is output.
一方、ステップ(37)において各寸法が全て等しくな
い場合にはステップ(41)に進み、ここでは全ての寸
法が異なるものであるかどうかが判別され、全てが異な
る場合にはステップ(42)において被測定物体(9)
はテーパ形状(IV)であることが出力される。これに
対しステップ(41)において全てが異ならない場合に
は、ステップ(43)において中央部Bの寸法が両端部
A、Cに比べ大きいかどうかが判別され、大きい場合に
は太鼓形状(n)、小さい場合には鼓形状(V)である
ことが夫々ステップ(44)、(45)にて出力され被
測定物体の形状判別は終了し、あるいは次の測定に対し
必要に応じて5TART(30)に戻る。On the other hand, if the dimensions are not all equal in step (37), the process proceeds to step (41), where it is determined whether all the dimensions are different. If all the dimensions are different, step (42) is performed. Object to be measured (9)
is outputted as having a tapered shape (IV). On the other hand, if everything is the same in step (41), it is determined in step (43) whether the size of the center part B is larger than that of both ends A and C, and if it is larger, the size of the center part B is determined as a drum shape (n). , if it is small, it is output as a drum shape (V) in steps (44) and (45), respectively, and the shape determination of the object to be measured is completed, or if necessary for the next measurement, 5TART (30 ).
このように本発明によれば形状判別を行う被測定物体の
形状を予め数種類設定しておき、被測定物体がこれらい
ずれかであるかを判断させるようにしたため、形状判別
が極めて容易に行うことができる。In this way, according to the present invention, several types of shapes of the object to be measured whose shape is to be determined are set in advance, and it is determined whether the object to be measured is one of these shapes, so that shape determination can be performed extremely easily. I can do it.
尚、本発明は実施例に限定されず、例えば第4図の(V
I)で示すように測定端部(9a)、(9b)を複数カ
所d1〜dnで測定し、この中で最大値、最小値を求め
、この差に基づいて被測定物体(3)が不良形状である
かどうかということを判別させるようにしてもよい。Note that the present invention is not limited to the embodiments, and for example, (V
As shown in I), the measurement ends (9a) and (9b) are measured at multiple locations d1 to dn, the maximum and minimum values are determined, and based on this difference, it is determined that the object to be measured (3) is defective. The determination may be made as to whether or not it is a shape.
又本実施例では被測定物体(9)に対して検出部(20
)、(20)を移動させるようにしたが、これとは逆に
被測定物体(9)を検出部(20)、(20)に対して
移動させるようにしてもよい。Further, in this embodiment, the detection unit (20) is connected to the object to be measured (9).
), (20) are moved, but the object to be measured (9) may be moved relative to the detection units (20), (20) in the opposite manner.
(発明の効果)
以上の説明より明らかな如く、本発明によれば、物体の
形状判別が非接触で行え、且つ測定装置等の構成及び設
定が容易で、被測定物体の大きさに拘わらず常に同一の
精度(分解能)で形状判別が行い得る形状判別方法を提
供することができる。(Effects of the Invention) As is clear from the above description, according to the present invention, the shape of an object can be determined without contact, and the configuration and setting of the measuring device etc. is easy, regardless of the size of the object to be measured. It is possible to provide a shape discrimination method that can always perform shape discrimination with the same accuracy (resolution).
尚、本実施例によれば検出部(20) 、(20)は、
被測定物体(9)に対して対称な位置に夫々相対向して
設けられた光センサ(1)、(1)と照明装置(El)
。According to this embodiment, the detection units (20) and (20) are as follows:
Optical sensors (1), (1) and illumination device (El) are provided at symmetrical positions facing each other with respect to the object to be measured (9).
.
(6)により、被測定物体の径が小さいときには光サン
七(1)、(+)間の距#WIを小さく、被測定物体の
径大きいときには距離Wlを大きくすることで常に物体
(9)の両端部(9a) 、(9b)の位置のみを検出
し得るようにしたため、大から小に至るまでの物体の外
径寸法を常に同一の光センサ(1)、(1)で検出する
ことができ、従って被測定物体(9)の大きさによらず
その検出精度(分解能)及び処理時間を一定とすること
ができ、精度及び処理時間に優れた信頼度の高い、簡易
で安価な検出が行える。According to (6), when the diameter of the object to be measured is small, the distance #WI between the light beams 7 (1) and (+) is made small, and when the diameter of the object to be measured is large, the distance Wl is increased so that the object (9) is always Since only the positions of both ends (9a) and (9b) can be detected, the outer diameter dimensions of objects ranging from large to small can always be detected with the same optical sensor (1), (1). Therefore, the detection accuracy (resolution) and processing time can be kept constant regardless of the size of the object to be measured (9), resulting in simple, inexpensive detection with excellent accuracy and processing time, and high reliability. can be done.
第1図は本発明の実施例における検出部を示す図、第2
図は実施例における装置を示す全体平面図、第3図は第
2図り方向矢視図、84図は被測定物体の形状を示す図
、第5図は実施例を示すフローチャートである。
そして図面中、
(1)、(1)・・・・・・光センサ
(8)、(8)・・・・・・照明装置
(9) ・・・・・・・・・被測定物体(9a)、(
9b)・・・測定端部
(10) 、 (10)・・・平行光線(!2)
・・・・・・演算処理装置(20) 、 (20)・・
・検出部
A、B、C・・・測定力漕
である。
第4図
I LV
n VFIG. 1 is a diagram showing a detection section in an embodiment of the present invention, and FIG.
The figure is an overall plan view showing the apparatus in the embodiment, FIG. 3 is a view taken in the second direction, FIG. 84 is a diagram showing the shape of the object to be measured, and FIG. 5 is a flowchart showing the embodiment. In the drawing, (1), (1)... optical sensor (8), (8)... lighting device (9)...... object to be measured ( 9a), (
9b)...Measurement end (10), (10)...Parallel rays (!2)
...... Arithmetic processing unit (20), (20)...
・Detection parts A, B, C...These are measurement force tanks. Figure 4 I LV n V
Claims (1)
遮られるべく照射し、前記各平行光線のうち被測定物体
により遮られた領域(あるいは遮られなかった領域)を
検出することで被測定物体の少なくとも二カ所以上の測
定端部を検出し、該検出信号に基づいて予め設定されて
いる被測定物体の形状を判別するようにしたことを特徴
とする物体の形状判別方法。Two parallel rays are irradiated so that a portion of each is blocked by the measurement end of the object to be measured, and a region of each of the parallel rays that is blocked by the object to be measured (or a region that is not blocked) is detected. A method for determining the shape of an object, comprising: detecting at least two measurement ends of the object to be measured, and determining a preset shape of the object to be measured based on the detection signals. .
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP9845685A JPS61256211A (en) | 1985-05-08 | 1985-05-08 | Identification for shape of object |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP9845685A JPS61256211A (en) | 1985-05-08 | 1985-05-08 | Identification for shape of object |
Publications (1)
Publication Number | Publication Date |
---|---|
JPS61256211A true JPS61256211A (en) | 1986-11-13 |
Family
ID=14220206
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
JP9845685A Pending JPS61256211A (en) | 1985-05-08 | 1985-05-08 | Identification for shape of object |
Country Status (1)
Country | Link |
---|---|
JP (1) | JPS61256211A (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
FR2620817A1 (en) * | 1987-09-17 | 1989-03-24 | Ngk Insulators Ltd | METHOD FOR MEASURING THE CONTOUR CONFIGURATION OF AN OBJECT DEFINED BY MANY CYLINDRICAL SURFACE PARTS |
Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS4960947A (en) * | 1972-10-14 | 1974-06-13 | ||
JPS4969159A (en) * | 1972-11-04 | 1974-07-04 |
-
1985
- 1985-05-08 JP JP9845685A patent/JPS61256211A/en active Pending
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS4960947A (en) * | 1972-10-14 | 1974-06-13 | ||
JPS4969159A (en) * | 1972-11-04 | 1974-07-04 |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
FR2620817A1 (en) * | 1987-09-17 | 1989-03-24 | Ngk Insulators Ltd | METHOD FOR MEASURING THE CONTOUR CONFIGURATION OF AN OBJECT DEFINED BY MANY CYLINDRICAL SURFACE PARTS |
BE1003159A3 (en) * | 1987-09-17 | 1991-12-17 | Ngk Insulators Ltd | METHOD FOR MEASURING ARTICLE CONTOUR CONFIGURATIONS. |
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