JPH0854234A - Three-dimensional coordinate position measuring method - Google Patents

Three-dimensional coordinate position measuring method

Info

Publication number
JPH0854234A
JPH0854234A JP19040094A JP19040094A JPH0854234A JP H0854234 A JPH0854234 A JP H0854234A JP 19040094 A JP19040094 A JP 19040094A JP 19040094 A JP19040094 A JP 19040094A JP H0854234 A JPH0854234 A JP H0854234A
Authority
JP
Japan
Prior art keywords
measured
angle
coordinate position
dimensional coordinate
distance
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
Application number
JP19040094A
Other languages
Japanese (ja)
Inventor
Akashi Yamaguchi
証 山口
Satoshi Yamazaki
敏 山崎
Shingo Suminoe
伸吾 住江
Taizo Yoshida
泰三 吉田
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.)
SHINKO PLANT KENSETSU KK
Kobe Steel Ltd
Original Assignee
SHINKO PLANT KENSETSU KK
Kobe Steel Ltd
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 SHINKO PLANT KENSETSU KK, Kobe Steel Ltd filed Critical SHINKO PLANT KENSETSU KK
Priority to JP19040094A priority Critical patent/JPH0854234A/en
Publication of JPH0854234A publication Critical patent/JPH0854234A/en
Pending legal-status Critical Current

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  • Length Measuring Devices By Optical Means (AREA)
  • Measurement Of Optical Distance (AREA)

Abstract

PURPOSE:To obtain a three-dimensional coordinate position measuring method in which the error due to thermal deformation caused by variation of the atmospheirc temperature or vibration at the time of movement can be corrected at the spot immediately before taking a measurement and the three-dimensional coordinate position can be measured conveniently. CONSTITUTION:Light is projected to first, second and third targets 21, 22 and 23 for which the true value of distance from a reference axis 20 connecting the centers of rotation 4a, 7a of first and second mirrors are known and the light projection angles and the image pickup angles are measured. Error amounts are then operated, respectively, based on the measurements and the coordinate position of a spot image on an object is corrected using the error amounts. This constitution realizes a highly accurate measurement.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は三次元座標位置計測方法
に係り,詳しくは三角測量の原理を利用した三次元座標
位置計測装置が持つ装置誤差を校正するキャリブレーシ
ョン方法に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a three-dimensional coordinate position measuring method, and more particularly to a calibration method for calibrating a device error of a three-dimensional coordinate position measuring device using the principle of triangulation.

【0002】[0002]

【従来の技術】従来より,被測定物の三次元座標位置を
非接触で計測する手法の1つとして,三角測量の原理が
広く用いられている。図9は,この三角測量の原理を用
いた三次元座標位置計測装置の一例を示している。この
三次元座標位置計測装置1では,光源2からレーザ光3
が投光されると,第1ミラー4を介して被測定物5上に
スポット像6が形成される。このスポット像6は第2ミ
ラー7を介して集光部8に集光され,ここに設けられた
光学センサ8a上に撮像される。第1ミラー4の回転角
度及び第2ミラー7の回転角度はそれぞれ第1駆動部9
及び第2駆動部10に内蔵された第1エンコーダ11及
び第2エンコーダ12により検出され,制御部13に入
力される。また,光源2と集光部8とは回転構造部14
a内に一体的に取り付けられ,装置1の支持構造部14
b上に矢印A方向に回転自在に取り付けられている。こ
の回転構造部14aの回転角度は第3駆動部15に内蔵
された第3エンコーダ16により検出され,制御部13
に入力される。第1ミラー4の回転中心4aと第2ミラ
ー7の回転中心7aとの間の距離Lは三角測量の基準距
離Lであり,一定値である。この従来装置1による計測
手順について以下述べる。操作部17の所定操作によ
り,第3駆動部15が駆動されて回転構造部14aが回
転される。さらに,第1ミラー4が回転されて被測定物
5上にレーザ光3が投光され,この被測定物5上にスポ
ット像6が照射される。そして,第2ミラー7が回転さ
れてスポット像6が第2ミラー7により反射され光学セ
ンサ8a上に結像される。この結像された像の位置は光
学センサ8aによって検出され,像検出部18を介して
スポット像の結像位置情報に変換され制御部13に入力
される。この結像位置情報に基づき,さらに第2ミラー
7が回転制御される。そして,光学センサ8a上に結像
されたスポット像が例えば光学センサ8aの中心点位置
となったとき,第2ミラー7の回転角度及び第1ミラー
4の回転角度が求められる。これら求められた両回転角
度及び第1ミラー4の回転中心4aと第2ミラー7の回
転中心7aとの間の距離Lから被測定物5上のスポット
像6の座標位置が演算される。以下,スポット像6の三
次元座標位置の演算原理について図10を参照しつつ説
明する。これは三角測量の原理そのものであり,図10
における三角形ABCの各頂点は,図9における第1ミ
ラー4の回転中心4a,第2ミラー7の回転中心7a及
びスポット像6にそれぞれ相当する。従って,上記基準
距離Lは,ここでは頂点A,B間の距離となる。座標系
の各軸は次のように設定する。直線ABをZ軸とし,頂
点Aから頂点Bに向かう方向を正方向とする。線分AB
の中点Oを通って直線ABと直交する軸を図10に示す
ようにX軸及びY軸とする。図9における回転構造物1
4aの回転軸はここではZ軸と一致する。従って,回転
構造部14aが回転することにより,この三角形ABC
はZ軸を,すなわち,辺ABを回転軸として回転するこ
とになる。さらに,三角形ABCが作る平面とXY平面
との交線をR軸とする。辺AC,辺ABがR軸となす角
度をそれぞれ順番にθ1及びθ2とする。ただしこれら
の角度は図中の矢印P及びQの方向を正方向とする。ま
た,R軸とY軸とのなす角度をφとする。ただし,矢印
Sの方向を正方向とする。第1エンコーダ11により計
測される第1ミラー4の回転角度からθ1を算出し,第
2エンコーダ12により計測される第2ミラー7の回転
角度からθ2を算出する。また,第3エンコーダ16に
よって計測される第3駆動部15の回転量をφとする。
このとき,スポット像6のR軸上の座標位置Rは次のよ
うに表される。
2. Description of the Related Art Conventionally, the principle of triangulation has been widely used as one of the methods for contactlessly measuring the three-dimensional coordinate position of an object to be measured. FIG. 9 shows an example of a three-dimensional coordinate position measuring device using this triangulation principle. In this three-dimensional coordinate position measuring device 1, the laser light 3 from the light source 2
Is projected, a spot image 6 is formed on the DUT 5 through the first mirror 4. The spot image 6 is condensed on the condensing unit 8 via the second mirror 7 and is imaged on the optical sensor 8a provided therein. The rotation angle of the first mirror 4 and the rotation angle of the second mirror 7 are respectively the first drive unit 9
Also, it is detected by the first encoder 11 and the second encoder 12 built in the second drive unit 10 and input to the control unit 13. In addition, the light source 2 and the light condensing unit 8 have a rotating structure 14
the support structure 14 of the device 1 which is integrally mounted in a.
It is mounted on b so as to be rotatable in the direction of arrow A. The rotation angle of the rotating structure 14a is detected by the third encoder 16 incorporated in the third driving unit 15, and the control unit 13
Is input to The distance L between the rotation center 4a of the first mirror 4 and the rotation center 7a of the second mirror 7 is a triangulation reference distance L, which is a constant value. The measurement procedure by the conventional device 1 will be described below. By a predetermined operation of the operation unit 17, the third drive unit 15 is driven and the rotary structure unit 14a is rotated. Further, the first mirror 4 is rotated so that the laser beam 3 is projected onto the object to be measured 5, and the spot image 6 is irradiated onto the object to be measured 5. Then, the second mirror 7 is rotated and the spot image 6 is reflected by the second mirror 7 and imaged on the optical sensor 8a. The position of the formed image is detected by the optical sensor 8a, is converted into the image forming position information of the spot image via the image detecting unit 18, and is input to the control unit 13. The rotation of the second mirror 7 is further controlled based on this image formation position information. Then, when the spot image formed on the optical sensor 8a reaches, for example, the center point position of the optical sensor 8a, the rotation angle of the second mirror 7 and the rotation angle of the first mirror 4 are obtained. The coordinate position of the spot image 6 on the object to be measured 5 is calculated from the obtained both rotation angles and the distance L between the rotation center 4a of the first mirror 4 and the rotation center 7a of the second mirror 7. Hereinafter, the principle of calculating the three-dimensional coordinate position of the spot image 6 will be described with reference to FIG. This is the principle of triangulation itself.
The vertices of the triangle ABC in FIG. 9 correspond to the rotation center 4 a of the first mirror 4, the rotation center 7 a of the second mirror 7 and the spot image 6 in FIG. 9, respectively. Therefore, the reference distance L is the distance between the vertices A and B here. Each axis of the coordinate system is set as follows. The straight line AB is the Z axis, and the direction from the vertex A to the vertex B is the positive direction. Line segment AB
The axes passing through the midpoint O and orthogonal to the straight line AB are the X axis and the Y axis as shown in FIG. Rotating structure 1 in FIG.
The axis of rotation of 4a coincides here with the Z axis. Therefore, when the rotating structure 14a rotates, the triangle ABC
Rotates about the Z axis, that is, the side AB as the axis of rotation. Further, the line of intersection between the plane formed by the triangle ABC and the XY plane is the R axis. The angles formed by the side AC and the side AB with respect to the R axis are set to θ1 and θ2, respectively. However, regarding these angles, the directions of arrows P and Q in the drawing are positive. The angle formed by the R axis and the Y axis is φ. However, the direction of the arrow S is the forward direction. Θ1 is calculated from the rotation angle of the first mirror 4 measured by the first encoder 11, and θ2 is calculated from the rotation angle of the second mirror 7 measured by the second encoder 12. Further, the rotation amount of the third drive unit 15 measured by the third encoder 16 is φ.
At this time, the coordinate position R on the R axis of the spot image 6 is expressed as follows.

【数1】 ここで,第1ミラー4及び第2ミラー7の各回転角度か
らθ1及びθ2を算出する方法は次の通りである。先ず
第1ミラー4側であるが,θ1=0となるときに第1ミ
ラー4の回転角度計測値が概略0となるように第1エン
コーダ11を取り付ける。そして,θ1=0のときの第
1ミラー4の回転角度予測値の0値からのずれを第1エ
ンコーダ11の零点オフセットと定義する。第2エンコ
ーダ12の零点オフセットも同様に定義する。第1エン
コーダ11及び第2エンコーダ12の各零点オフセット
量はあらかじめ計測しておく。第1エンコーダ11で計
測される第1ミラー4の回転角度から第1エンコーダ1
1の零点オフセットを差し引いた後の値を,光軸角度は
ミラー角度の2倍なので2倍するとθ1となる。第2エ
ンコーダ12により計測される第2ミラー7の回転角度
から同様にθ2が得られる。角度φの値を算出するため
の第3エンコーダ16にも零点オフセットが存在する
が,これは装置1の座標系が零点オフセット分だけ回転
するだけであり,座標位置計測値の誤差に寄与しない。
[Equation 1] Here, the method of calculating θ1 and θ2 from the respective rotation angles of the first mirror 4 and the second mirror 7 is as follows. First, on the side of the first mirror 4, the first encoder 11 is attached so that the rotation angle measurement value of the first mirror 4 becomes approximately 0 when θ1 = 0. Then, a deviation of the predicted value of the rotation angle of the first mirror 4 from 0 when θ1 = 0 is defined as a zero point offset of the first encoder 11. The zero point offset of the second encoder 12 is similarly defined. The zero point offset amounts of the first encoder 11 and the second encoder 12 are measured in advance. From the rotation angle of the first mirror 4 measured by the first encoder 11, the first encoder 1
Since the optical axis angle is twice the mirror angle, the value after subtracting the zero point offset of 1 is doubled to be θ1. Similarly, θ2 is obtained from the rotation angle of the second mirror 7 measured by the second encoder 12. The third encoder 16 for calculating the value of the angle φ also has a zero point offset, but this only causes the coordinate system of the device 1 to rotate by the zero point offset and does not contribute to the error in the coordinate position measurement value.

【0003】[0003]

【発明が解決しようとする課題】上記したような従来の
三次元座標位置計測装置1では,構造物の部品寸法誤差
や組立誤差,あるいは温度変化にともなう熱膨張収縮効
果等により基準距離Lに誤差が生じる。また,第1エン
コーダ11及び第2エンコーダ12には零点オフセット
が必ず存在する。これらの誤差の概略値は組立時に計測
して装置パラメータとして補正できるが,装置1の使用
状況に応じて誤差量は僅かであるがその後も変化する。
この変化が計測誤差として現れるため,高精度の三次元
計測が行えなかった。本発明は,上記事情に鑑みてなさ
れたものであり,例えば気温の変化による熱変形や移動
時の振動等に起因する誤差を計測直前にその場で補正す
ることができて,高精度の三次元座標位置計測を簡便に
行うことができる三次元座標位置計測方法を提供するこ
とを目的とするものである。
In the conventional three-dimensional coordinate position measuring device 1 as described above, an error in the reference distance L occurs due to a component size error of a structure, an assembly error, or a thermal expansion / contraction effect due to a temperature change. Occurs. Further, the first encoder 11 and the second encoder 12 always have a zero point offset. Although the approximate values of these errors can be measured at the time of assembly and corrected as device parameters, the error amount is slight depending on the usage status of the device 1, but it also changes thereafter.
Since this change appears as a measurement error, highly accurate three-dimensional measurement could not be performed. The present invention has been made in view of the above circumstances. For example, it is possible to correct an error caused by thermal deformation due to a change in air temperature, vibration during movement, or the like on the spot immediately before measurement, and highly accurate tertiary It is an object of the present invention to provide a three-dimensional coordinate position measuring method that allows easy measurement of original coordinate position.

【0004】[0004]

【課題を解決するための手段】上記目的を達成するため
に第1の発明は,被測定物にスポット光を投光し,該投
光点から所定距離隔てた撮像面で上記被測定物上に投射
されたスポット像を撮像し,上記スポット光の投光角
度,上記スポット像の撮像角度および上記投光点と上記
撮像面との間の距離を用いて三角測量を行うことにより
上記被測定物上のスポット像の位置座標を演算する三次
元座標位置計測方法において,上記投光点と上記撮像面
とを結ぶ基準軸からの距離の真値が既知の少なくとも3
個の基準点についてそれぞれ上記投光角度および撮像角
度を計測し,上記各計測値に基づいてそれぞれの誤差量
を演算し,上記各誤差量を用いて上記被測定物上のスポ
ット像の位置座標を補正することを特徴とする三次元座
標位置計測方法として構成されている。また第2の発明
は,被測定物にスポット光を投光し,該投光点から所定
距離隔てた撮像面で上記被測定物上に投射されたスポッ
ト像を撮像し,上記スポット光の投光角度,上記スポッ
ト像の撮像角度および上記投光点と上記撮像面との間の
距離を用いて三角測量を行うことにより上記被測定物上
のスポット像の位置座標を演算する三次元座標位置計測
方法において,上記投光点と上記撮像面とを結ぶ基準軸
からの距離の真値が既知の少なくとも3個の基準点を上
記投光角度又は上記撮像角度のうちのいずれか一方が既
知の角度となるように配置しておき,上記各基準点につ
いてそれぞれ上記投光角度又は上記撮像角度のうちの未
知の方の角度を計測し,上記各計測値に基づいてそれぞ
れの誤差量を演算し,上記各誤差量を用いて上記被測定
物上のスポット像の位置座標を補正することを特徴とす
る三次元座標位置計測方法として構成されている。さら
には,上記投光角度の誤差量と撮像角度の誤差量とが等
しいと仮定して,上記計測すべき基準点の数を2個とす
ることを特徴とする三次元座標位置計測方法である。
In order to achieve the above object, a first aspect of the invention is to project spot light onto an object to be measured and to place the spot light on the object to be measured with an image pickup surface spaced a predetermined distance from the light projecting point. The spot image projected onto the object is imaged, and the measurement is performed by performing triangulation using the projection angle of the spot light, the imaging angle of the spot image, and the distance between the projection point and the imaging surface. In a three-dimensional coordinate position measuring method for calculating the position coordinates of a spot image on an object, at least 3 values for which the true value of the distance from the reference axis connecting the light projecting point and the imaging surface is known
The projection angle and the imaging angle are measured for each of the reference points, the respective error amounts are calculated based on the respective measured values, and the position coordinates of the spot image on the object to be measured are calculated using the respective error amounts. Is configured as a three-dimensional coordinate position measuring method. A second invention is that the spot light is projected onto the object to be measured, the spot image projected onto the object to be measured is picked up by an imaging surface which is separated from the light projection point by a predetermined distance, and the spot light is projected. Three-dimensional coordinate position for calculating the position coordinates of the spot image on the object to be measured by performing triangulation using the light angle, the imaging angle of the spot image, and the distance between the light projecting point and the imaging surface. In the measuring method, at least three reference points of which the true value of the distance from the reference axis connecting the light projecting point and the imaging surface is known are known in either one of the light projecting angle and the image capturing angle. The angle is set so that an unknown angle of the projection angle or the imaging angle is measured for each of the reference points, and each error amount is calculated based on each of the measured values. , The object to be measured using each of the above error amounts That are configured as a three-dimensional coordinate position measuring method characterized by correcting the position coordinates of the spot image. Furthermore, the three-dimensional coordinate position measuring method is characterized in that the number of reference points to be measured is two, assuming that the error amount of the projection angle is equal to the error amount of the imaging angle. .

【0005】[0005]

【作用】第1の発明によれば,被測定物にスポット光を
投光し,該投光点から所定距離隔てた撮像面で上記被測
定物上に投射されたスポット像を撮像し,上記スポット
光の投光角度,上記スポット像の撮像角度及び上記投光
点と上記撮像面との間の距離を用いて三角測量を行うこ
とにより,上記被測定物上のスポット像の位置座標を演
算するに際し,上記投光点と上記撮像面とを結ぶ基準軸
からの距離の真値が既知の少なくとも3個の基準点につ
いてそれぞれ上記投光角度及び撮像角度が計測される。
上記各計測値に基づいてそれぞれの誤差量が演算され
る。上記各誤差量を用いて上記被測定物上のスポット像
の位置座標が補正される。これにより,例えば気温の変
化による熱変形や移動時の振動等に起因する誤差を計測
直前にその場で補正することが可能となり,高精度の三
次元座標位置計測を簡便に行うことができる。また,第
2の発明によれば,上記被測定物上のスポット像の位置
座標を演算するに際し,上記投光点と上記撮像面とを結
ぶ基準軸からの距離の真値が既知の少なくとも3個の基
準点が上記投光角度または上記撮像角度のうちのいずれ
か一方だけが既知の角度となるように配置される。上記
各基準点についてそれぞれ上記投光角度または上記撮像
角度のうちの未知の方の角度が計測される。上記各計測
値に基づいてそれぞれの誤差量が演算される。上記各誤
差量を用いて上記被測定物上のスポット像の座標位置が
補正される。この場合は,上記投光角度または上記撮像
角度のうちのいずれか一方の計測ですむ。さらに,上記
投光角度の誤差量と撮像角度の誤差量とが等しいと仮定
して,上記計測すべき基準点の数を2個とすれば,さら
に計測数を減じることができる。
According to the first invention, the spot light is projected onto the object to be measured, and the spot image projected on the object to be measured is picked up by the image pickup surface separated by a predetermined distance from the light projection point. The position coordinates of the spot image on the object to be measured are calculated by performing triangulation using the projection angle of the spot light, the imaging angle of the spot image, and the distance between the projection point and the imaging surface. In doing so, the projection angle and the imaging angle are measured for at least three reference points whose true value of the distance from the reference axis connecting the projection point and the imaging surface is known.
The respective error amounts are calculated on the basis of the respective measured values. The position coordinates of the spot image on the object to be measured are corrected using the respective error amounts. This makes it possible to correct an error caused by, for example, thermal deformation due to a change in temperature, vibration during movement, or the like immediately before measurement, and highly accurate three-dimensional coordinate position measurement can be easily performed. According to the second aspect of the invention, when calculating the position coordinates of the spot image on the object to be measured, at least the known true value of the distance from the reference axis connecting the light projecting point and the imaging surface is known. The reference points are arranged such that only one of the projection angle and the imaging angle is a known angle. An unknown one of the projection angle and the imaging angle is measured for each of the reference points. The respective error amounts are calculated on the basis of the respective measured values. The coordinate position of the spot image on the object to be measured is corrected using each of the error amounts. In this case, either the projection angle or the imaging angle may be measured. Furthermore, assuming that the error amount of the projection angle and the error amount of the imaging angle are equal, and the number of reference points to be measured is two, the number of measurements can be further reduced.

【0006】[0006]

【実施例】以下添付図面を参照して,本発明を具体化し
た実施例につき説明し,本発明の理解に供する。尚,以
下の実施例は,本発明を具体化した一例であって,本発
明の技術的範囲を限定する性格のものではない。ここ
に,図1は第1の発明の第1の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図,図2は第2の発
明の第1の実施例に係る三次元座標位置計測方法の基本
原理を示す説明図,図3は第1の発明の第2の実施例に
係る三次元座標位置計測方法の基本原理を示す説明図,
図4は第2の発明の第2の実施例に係る三次元座標位置
計測方法の基本原理を示す説明図,図5は第1の発明の
第3の実施例に係る三次元座標位置計測方法の基本原理
を示す説明図,図6は第2の発明の第3の実施例に係る
三次元座標位置計測方法の基本原理を示す説明図,図7
は第1の発明の第4の実施例に係る三次元座標位置計測
方法の基本原理を示す説明図,図8は第2の発明の第4
の実施例に係る三次元座標位置計測方法の基本原理を示
す説明図,図9は上記三次元座標位置計測方法を適用可
能な装置の概略構成を示す模式図(従来例と共用)であ
る。第1の発明の第1の実施例に係る三次元座標位置計
測方法による装置1aは,図9に示すように,被測定物
5にレーザ光3(スポット光)を投光し,この投光点に
相当する第1ミラー4の回転中心4aから距離Lだけ隔
った撮像面に相当する第2ミラー7の回転中心7aで被
測定物5上に投射されたスポット像6を撮像し,このレ
ーザ光3の投光角度,スポット像6の撮像角度及び距離
Lを用いて三角測量を行うことにより被測定物5上のス
ポット像6の位置座標を演算するように構成されている
点で従来例と同様である。しかし,本実施例では,図1
に示すように上記第1ミラー4の回転中心4aと第2ミ
ラー7の回転中心7aとを結ぶ基準軸20からの距離の
真値が既知の少なくとも3個の基準点に相当する補正用
ターゲット21,22,23についてそれぞれ上記投光
角度及び撮像角度を計測し,上記各計測値に基づいてそ
れぞれの誤差量を演算し,上記各誤差量を用いて被測定
物5上のスポット像6の位置座標を補正する点で従来例
と異なる。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Embodiments embodying the present invention will be described below with reference to the accompanying drawings for the understanding of the present invention. The following embodiments are examples of embodying the present invention and are not intended to limit the technical scope of the present invention. FIG. 1 is an explanatory view showing the basic principle of the three-dimensional coordinate position measuring method according to the first embodiment of the first invention, and FIG. 2 is the three-dimensional coordinate according to the first embodiment of the second invention. Explanatory diagram showing the basic principle of the position measuring method, FIG. 3 is an explanatory diagram showing the basic principle of the three-dimensional coordinate position measuring method according to the second embodiment of the first invention,
FIG. 4 is an explanatory view showing the basic principle of the three-dimensional coordinate position measuring method according to the second embodiment of the second invention, and FIG. 5 is the three-dimensional coordinate position measuring method according to the third embodiment of the first invention. 7 is an explanatory diagram showing the basic principle of the three-dimensional coordinate position measuring method according to the third embodiment of the second invention, FIG.
Is an explanatory view showing the basic principle of the three-dimensional coordinate position measuring method according to the fourth embodiment of the first invention, and FIG. 8 is the fourth embodiment of the second invention.
FIG. 9 is an explanatory diagram showing the basic principle of the three-dimensional coordinate position measuring method according to the embodiment of the present invention, and FIG. 9 is a schematic diagram (shared with the conventional example) showing a schematic configuration of an apparatus to which the above three-dimensional coordinate position measuring method can be applied. As shown in FIG. 9, the device 1a according to the three-dimensional coordinate position measuring method according to the first embodiment of the first invention projects laser light 3 (spot light) onto the object 5 to be measured, and The spot image 6 projected on the object to be measured 5 is imaged at the rotation center 7a of the second mirror 7 corresponding to the imaging surface which is separated from the rotation center 4a of the first mirror 4 corresponding to the point by the distance L. Conventionally, the position coordinates of the spot image 6 on the DUT 5 are calculated by triangulation using the projection angle of the laser light 3, the imaging angle of the spot image 6 and the distance L. Similar to the example. However, in this embodiment, as shown in FIG.
As shown in, the correction target 21 corresponding to at least three reference points whose true value of the distance from the reference axis 20 connecting the rotation center 4a of the first mirror 4 and the rotation center 7a of the second mirror 7 is known. , 22, and 23, the above-mentioned projection angle and imaging angle are measured, the respective error amounts are calculated based on the respective measured values, and the position of the spot image 6 on the DUT 5 is calculated using the respective error amounts. It differs from the conventional example in that the coordinates are corrected.

【0007】尚,本発明実施例では便宜上第1ミラー4
の回転中心4aと第2ミラー7の回転中心7aとの位置
を従来例と上下逆に設定しているが,これは何ら本質的
な相違点ではない(以下の各実施例についても同様)。
以下,この装置1aについてさらに詳しく述べる。この
装置1aでは基準軸20が床面19に対して垂直になる
ように設置されている。補正用ターゲットは,第1ター
ゲット21,第2ターゲット22および第3ターゲット
23の合計3つが装置1に対して一直線上に並ぶように
床面19上に置かれている。第1,第2,第3ターゲッ
ト21,22,23の奥行き方向の距離の真値Rtは装
置1aの真下から第1,第2,第3ターゲット21,2
2,23に向かって床面19に平行に張られたメジャー
24により測定される。誤差補正時には,まず第1,第
2,第3ターゲット21,22,23のメジャー24に
よる奥行き方向の距離の測定値を操作部17を介して制
御部13に入力する。そして,第1,第2,第3ターゲ
ットの順番で三角測量し装置1aの投光角度θ1,撮像
角度θ2および奥行き方向の距離Rmを演算し,角度誤
差Δθ1,Δθ2および距離誤差ΔLを求める。その後
の計測においては,投光角度θ1,撮像角度θ2および
奥行き方向の距離の計測値Rmを上記で求めたΔθ1,
Δθ2,ΔLを用いて補正し,計測点の三次元座標位置
を算出する。ここで,上記装置1aの測定原理について
述べる。本装置1aにおいても,従来の技術ですでに述
べた,,,式にて示した各原理に基づいて測定
点の座標位置を計測している。したがって,,,
,式より式の距離Rが正確に算出できれば,スポ
ット像6の位置座標を高精度で計測できる。
In the embodiment of the present invention, the first mirror 4 is used for convenience.
The positions of the rotation center 4a and the rotation center 7a of the second mirror 7 are set upside down as compared with the conventional example, but this is not an essential difference (the same applies to each of the following embodiments).
Hereinafter, the device 1a will be described in more detail. In this device 1a, the reference axis 20 is installed so as to be perpendicular to the floor surface 19. The correction target is placed on the floor surface 19 so that a total of three correction targets, that is, the first target 21, the second target 22, and the third target 23 are aligned with the device 1. The true value Rt of the distance in the depth direction of the first, second, third targets 21, 22, 23 is from below the device 1a to the first, second, third targets 21, 2.
It is measured by a measure 24 stretched in parallel with the floor surface 19 toward 2, 23. At the time of error correction, first, the measured value of the distance in the depth direction by the measure 24 of the first, second and third targets 21, 22, 23 is input to the control unit 13 via the operation unit 17. Then, triangulation is performed in the order of the first, second, and third targets to calculate the projection angle θ1, the imaging angle θ2, and the distance Rm in the depth direction of the device 1a to obtain the angle errors Δθ1 and Δθ2 and the distance error ΔL. In the subsequent measurement, the projection angle θ1, the imaging angle θ2, and the measured value Rm of the distance in the depth direction are calculated as Δθ1,
Correction is performed using Δθ2 and ΔL, and the three-dimensional coordinate position of the measurement point is calculated. Here, the measurement principle of the device 1a will be described. Also in the present device 1a, the coordinate position of the measurement point is measured based on each of the principles shown in the equations already described in the conventional technique. Therefore, ...
If the distance R of the formula can be calculated accurately from the formula, the position coordinates of the spot image 6 can be measured with high accuracy.

【0008】ここで距離Rを真値Rtとし,角度θ1,
θ2および距離Lも真値そのものであるとすると,前記
式より真値Rtは次式で与えられる。
Here, the distance R is a true value Rt, and the angles θ1,
If θ2 and the distance L are true values themselves, the true value Rt is given by the following equation from the above equation.

【数2】 ここで,実際の計測時に角度θ1及びθ2に微小変動誤
差Δθ1及びΔθ2,基準距離Lに微小変動誤差ΔLが
それぞれ含まれていたとすると,そのときの距離Rの計
測値Rmは次のようになる。
[Equation 2] Here, assuming that the small fluctuation errors Δθ1 and Δθ2 are included in the angles θ1 and θ2 during the actual measurement, and the small fluctuation error ΔL is included in the reference distance L, the measured value Rm of the distance R at that time is as follows. .

【数3】 上記,式に式を代入して整理すると,次式のよう
になる。ただし,式の変形に際しては,Δθ1,Δθ
2,ΔLはいずれも微小量であることを考慮して, tanΔθ1=Δθ1 tanΔθ2=Δθ2 とし,Δθ12 ,Δθ22 及びΔLΔθ1,ΔLΔθ2
の項は無視できるものとした。
(Equation 3) When the equations are substituted into the above equations and arranged, the following equations are obtained. However, when transforming the equation, Δθ1, Δθ
Considering that both 2 and ΔL are minute amounts, tan Δθ1 = Δθ1 tan Δθ2 = Δθ2, and Δθ1 2 , Δθ2 2 and ΔLΔθ1, ΔLΔθ2
The term is assumed to be negligible.

【数4】 上記式より,真値Rtの異なる3か所の補正用ターゲ
ットの計測値により,3つの連立方程式が成立するた
め,これを解いて,各微小変動誤差Δθ1,Δθ2およ
びΔLを算出する。よって,角度θ1,θ2および距離
Lの各微小変動を補正することができる。
[Equation 4] From the above equation, three simultaneous equations are established by the measured values of the correction targets at three different true values Rt. Therefore, these equations are solved to calculate each small variation error Δθ1, Δθ2 and ΔL. Therefore, it is possible to correct each minute variation in the angles θ1 and θ2 and the distance L.

【0009】このように誤差補正の基準点は三次元座標
の全ての座標値が既知である必要がなく,例えばメジャ
ーによって奥行き方向の距離を測定しておくだけでよ
い。その為,三次元座標位置計測装置1aを使用する現
場において簡便に補正用ターゲットを設定し,補正計算
を行うことができる。すなわち,例えば気温の変化によ
る熱変形や移動時の振動等に起因する三角測量の基準距
離Lや投光角度θ1および撮像角度θ2のオフセット誤
差の微小変動分であるΔL及びΔθ1,Δθ2を,計測
直前にその場で補正することが可能となる。これにより
高精度の三次元座標位置計測を簡便に行うことができ
る。ところで,上記補正用ターゲットについて,投光角
度θ1または撮像角度θ2のいずれかが既知であれば,
計測数を少なくすることができる。第2の発明はこの点
に着目したものであり,以下述べる。第2の発明の第1
の実施例に係る三次元座標位置計測方法による装置1b
は,図2に示すように,上記第1ミラー4の回転中心4
aと第2ミラー7の回転中心7aとを結ぶ基準軸20か
らの距離の真値が既知の少なくとも3個の基準点に相当
する補正用ターゲット21,22,23を,上記投光角
度又は上記撮像角度のうちのいずれか一方が既知の角度
となるように配置しておき,上記各ターゲット21,2
2,23についてそれぞれ上記投光角度又は上記撮像角
度のうちの未知の方の角度を計測し,上記各計測値に基
づいてそれぞれの誤差量を演算し,上記各誤差量を用い
て被測定物5上のスポット像6の座標位置を補正する点
で従来例と異なる。
As described above, it is not necessary for all the coordinate values of the three-dimensional coordinates to be known as the reference point for error correction, and it is sufficient to measure the distance in the depth direction by a measure, for example. Therefore, it is possible to easily set the correction target and perform the correction calculation at the site where the three-dimensional coordinate position measuring apparatus 1a is used. That is, ΔL and Δθ1, Δθ2, which are minute variations of the offset distance error of the triangulation reference distance L and the projection angle θ1 and the imaging angle θ2, which are caused by thermal deformation due to temperature change, vibration during movement, and the like, are measured. It is possible to make corrections on the spot immediately before. Thereby, highly accurate three-dimensional coordinate position measurement can be easily performed. By the way, for the correction target, if either the projection angle θ1 or the imaging angle θ2 is known,
The number of measurements can be reduced. The second invention focuses on this point and will be described below. 1st of 2nd invention
1b by the three-dimensional coordinate position measuring method according to the embodiment
Is the rotation center 4 of the first mirror 4 as shown in FIG.
The correction targets 21, 22, and 23 corresponding to at least three reference points whose true value of the distance from the reference axis 20 connecting the a and the rotation center 7a of the second mirror 7 are known are set to the above projection angle or the above The targets 21 and 2 are arranged such that one of the imaging angles is a known angle.
2 and 23, the unknown angle of the projection angle or the imaging angle is measured, the error amount of each is calculated based on the measured values, and the measured object is measured using the error amounts. 5 is different from the conventional example in that the coordinate position of the spot image 6 on 5 is corrected.

【0010】以下,この装置1bについてさらに詳しく
述べる。この装置1bでは,基準軸20が床面19に対
して垂直になるように設置されている。この場合も上記
補正用ターゲットは,第1ターゲット21,第2ターゲ
ット22及び第3ターゲット23の合計3つとするが,
ここではいずれも投光側の所定光軸直線上に並ぶように
配置されている。これらの第1,第2,第3ターゲット
21,22,23の奥行き方向の距離の真値Rtは図示
しないメジャーにより測定するかあるいは各ターゲット
を保持するための治具25の予め測定された所定位置に
各ターゲットを取り付けることにより求めることができ
る。誤差補正時には,まず第1,第2,第3ターゲット
21,22,23の奥行き方向の距離の測定値を操作部
17を介して制御部13に入力する。さらに投光角度θ
1の計測値を操作部17を介して制御部13に入力す
る。しかる後に第1,第2,第3ターゲット21,2
2,23の順番で三角測量し撮像角度θ2及び,奥行き
方向の距離Rmを演算し,微小変動誤差Δθ1,Δθ2
及びΔLを求める。ここでは,投光角度θ1を既知の角
度としたが,逆に撮像角度θ2を既知の角度とし,投光
角度を測定することとしてもよい。さらに,上記微小変
動誤差Δθ1およびΔθ2はいずれも微小量であること
からこれらを等しいと仮定することができる。図3,図
4はΔθ1=Δθ2と仮定することにより補正用ターゲ
ットの数量を2個に減らした例である。このようにして
計測数を減らし,簡便な三次元座標位置計測を行うこと
ができる。以下,第1,第2の発明に係る変形例を示
す。図5は第1の発明についての変形例であるが,図1
の第1の実施例との相違点は次の通りである。
The device 1b will be described in more detail below. In this device 1b, the reference axis 20 is installed so as to be perpendicular to the floor surface 19. Also in this case, the correction target is a total of three of the first target 21, the second target 22, and the third target 23.
Here, all are arranged so as to be lined up on a predetermined optical axis straight line on the light projecting side. The true value Rt of the distance in the depth direction of these first, second and third targets 21, 22, 23 is measured by a measure (not shown) or a predetermined value measured in advance by a jig 25 for holding each target. It can be determined by mounting each target at the position. At the time of error correction, first, the measured values of the distances in the depth direction of the first, second and third targets 21, 22, 23 are input to the control unit 13 via the operation unit 17. Further, the projection angle θ
The measured value of 1 is input to the control unit 13 via the operation unit 17. After that, the first, second and third targets 21, 2 are
Triangulation in the order of No. 2 and 23 to calculate the imaging angle θ2 and the distance Rm in the depth direction, and small fluctuation errors Δθ1 and Δθ2
And ΔL are obtained. Here, the light projection angle θ1 is a known angle, but conversely, the imaging angle θ2 may be a known angle and the light projection angle may be measured. Further, since the minute variation errors Δθ1 and Δθ2 are both minute amounts, it can be assumed that they are equal. 3 and 4 are examples in which the number of correction targets is reduced to two by assuming Δθ1 = Δθ2. In this way, the number of measurements can be reduced and simple three-dimensional coordinate position measurement can be performed. Hereinafter, modified examples according to the first and second inventions will be shown. FIG. 5 shows a modification of the first invention.
The difference from the first embodiment is as follows.

【0011】補正用ターゲットである第1,第2,第3
ターゲット21,22,23が装置1eに対してここで
は一直線上に並ぶように床面19から浮いた形で配置さ
れている。これによっても,図1に示した実施例と同様
の作用効果を得ることができる。図6は第2の発明に係
る変形例である。ここでは,第1,第2,第3ターゲッ
ト21,22,23を取り付ける治具25の方向が投光
角度と常に一致するように投光側第1ミラー4の回転に
連動して回転する。これによって,第1,第2,第3タ
ーゲット21,22及び23を測定する際の投光角度は
常に一定に保たれる。また,第1,第2,第3ターゲッ
ト21,22及び23の装置1fからの真値Rtは,図
示しないメジャーにより測定するかあるいは治具25の
予め距離の測定された所定位置に各ターゲットを取り付
けることにより求めることができる。誤差補正時には,
先ず第1,第2,第3ターゲット21,22,23の奥
行き方向の距離の測定値を操作部17を介して制御部1
3に入力する。さらに投光角度θ1の計測値を操作部1
7を介して制御部13に入力する。しかる後に第1,第
2,第3ターゲット21,22,23の順番で三角測量
し撮像角度θ2及び奥行き方向の距離Rmを演算する。
そして微小変動Δθ1,Δθ2及びΔLを求める。これ
によっても図2に示した実施例と同様の作用効果を得る
ことができる。さらに図7は第1の発明に係る変形例で
あるが,これは図5の実施例を変形したものであり,こ
こでは微小変動誤差Δθ1=Δθ2とすることにより,
補正用ターゲットの数を2個に減らしたものである。図
8は第2の発明の変形例であり,これは図6の実施例を
基に微小変動Δθ1=Δθ2とすることにより,補正用
ターゲットの数を2個に減らしたものである。
First, second, and third correction targets
The targets 21, 22 and 23 are arranged in a line with respect to the apparatus 1e so as to be aligned with each other in a straight line, and are arranged so as to float from the floor surface 19. With this, the same effects as those of the embodiment shown in FIG. 1 can be obtained. FIG. 6 shows a modified example according to the second invention. Here, the jig 25 for mounting the first, second, and third targets 21, 22, and 23 rotates in conjunction with the rotation of the light-projecting-side first mirror 4 so that the direction of the jig 25 always matches the projection angle. As a result, the projection angle when measuring the first, second, and third targets 21, 22 and 23 is always kept constant. The true value Rt from the device 1f of the first, second and third targets 21, 22 and 23 is measured by a measure (not shown) or each target is placed at a predetermined position of the jig 25 where the distance is measured in advance. It can be determined by mounting. When correcting the error,
First, the measured values of the distances in the depth direction of the first, second and third targets 21, 22, 23 are controlled by the control unit 1 via the operation unit 17.
Enter in 3. In addition, the measured value of the projection angle θ1 is displayed on the operation unit
It is input to the control unit 13 via 7. Thereafter, triangulation is performed in the order of the first, second and third targets 21, 22, 23 to calculate the imaging angle θ2 and the distance Rm in the depth direction.
Then, the minute fluctuations Δθ1, Δθ2 and ΔL are obtained. This also makes it possible to obtain the same effect as that of the embodiment shown in FIG. Further, FIG. 7 is a modification of the first invention, which is a modification of the embodiment of FIG. 5, and here, by setting the minute fluctuation error Δθ1 = Δθ2,
The number of correction targets is reduced to two. FIG. 8 shows a modified example of the second invention, in which the number of correction targets is reduced to two by setting the minute fluctuation Δθ1 = Δθ2 based on the embodiment of FIG.

【0012】[0012]

【発明の効果】本発明に係る三次元座標位置計測方法
は,上記したように構成されているため,例えば気温の
変化による熱変形や移動時の振動等に起因する誤差を計
測直前にその場で補正することが可能となり,高精度の
三次元座標位置計測を簡便に行うことができる。
Since the three-dimensional coordinate position measuring method according to the present invention is configured as described above, an error caused by, for example, thermal deformation due to a change in temperature or vibration at the time of movement can be immediately measured immediately before measurement. It is possible to correct with, and it is possible to easily perform highly accurate three-dimensional coordinate position measurement.

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

【図1】 第1の発明の第1の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 1 is an explanatory diagram showing a basic principle of a three-dimensional coordinate position measuring method according to a first embodiment of the first invention.

【図2】 第2の発明の第1の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 2 is an explanatory diagram showing the basic principle of a three-dimensional coordinate position measuring method according to the first embodiment of the second invention.

【図3】 第1の発明の第2の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 3 is an explanatory diagram showing a basic principle of a three-dimensional coordinate position measuring method according to a second embodiment of the first invention.

【図4】 第2の発明の第2の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 4 is an explanatory diagram showing a basic principle of a three-dimensional coordinate position measuring method according to a second embodiment of the second invention.

【図5】 第1の発明の第3の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 5 is an explanatory diagram showing a basic principle of a three-dimensional coordinate position measuring method according to a third embodiment of the first invention.

【図6】 第2の発明の第3の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 6 is an explanatory diagram showing the basic principle of a three-dimensional coordinate position measuring method according to a third embodiment of the second invention.

【図7】 第1の発明の第4の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 7 is an explanatory diagram showing a basic principle of a three-dimensional coordinate position measuring method according to a fourth embodiment of the first invention.

【図8】 第2の発明の第4の実施例に係る三次元座標
位置計測方法の基本原理を示す説明図。
FIG. 8 is an explanatory diagram showing the basic principle of a three-dimensional coordinate position measuring method according to a fourth embodiment of the second invention.

【図9】 上記三次元座標位置計測方法を適用可能な装
置の概略構成を示す模式図(従来例と共用)。
FIG. 9 is a schematic diagram showing a schematic configuration of an apparatus to which the above three-dimensional coordinate position measuring method can be applied (shared with a conventional example).

【図10】 三角測量の原理を示す説明図。FIG. 10 is an explanatory diagram showing the principle of triangulation.

【符号の説明】[Explanation of symbols]

1a〜1h…三次元座標位置計測装置 3…レーザ光(スポット光) 4a…第1ミラーの回転中心(投光点に相当) 5…被測定物 6…スポット像 7a…第2ミラーの回転中心(撮像面に相当) 20…基準軸 21…第1ターゲット(基準点に相当) 22…第2ターゲット(基準点に相当) 23…第3ターゲット(基準点に相当) 1a to 1h ... Three-dimensional coordinate position measuring device 3 ... Laser light (spot light) 4a ... Rotation center of first mirror (corresponding to light projection point) 5 ... Object to be measured 6 ... Spot image 7a ... Rotation center of second mirror (Corresponding to imaging surface) 20 ... Reference axis 21 ... First target (corresponding to reference point) 22 ... Second target (corresponding to reference point) 23 ... Third target (corresponding to reference point)

───────────────────────────────────────────────────── フロントページの続き (72)発明者 住江 伸吾 兵庫県神戸市西区高塚台1丁目5番5号 株式会社神戸製鋼所神戸総合技術研究所内 (72)発明者 吉田 泰三 兵庫県神戸市灘区岩屋北町4丁目5番22号 神鋼プラント建設株式会社内 ─────────────────────────────────────────────────── ─── Continued front page (72) Inventor Shingo Sumie 1-5-5 Takatsukadai, Nishi-ku, Kobe City, Hyogo Prefecture Kobe Steel Co., Ltd., Kobe Research Institute (72) Inventor Taizo Yoshida, Nada-ku, Kobe City, Hyogo Prefecture Iwayakitamachi 4-5-22 Shinko Plant Construction Co., Ltd.

Claims (3)

【特許請求の範囲】[Claims] 【請求項1】 被測定物にスポット光を投光し,該投光
点から所定距離隔てた撮像面で上記被測定物上に投射さ
れたスポット像を撮像し,上記スポット光の投光角度,
上記スポット像の撮像角度および上記投光点と上記撮像
面との間の距離を用いて三角測量を行うことにより上記
被測定物上のスポット像の位置座標を演算する三次元座
標位置計測方法において,上記投光点と上記撮像面とを
結ぶ基準軸からの距離の真値が既知の少なくとも3個の
基準点についてそれぞれ上記投光角度および撮像角度を
計測し,上記各計測値に基づいてそれぞれの誤差量を演
算し,上記各誤差量を用いて上記被測定物上のスポット
像の位置座標を補正することを特徴とする三次元座標位
置計測方法。
1. A spot image projected onto the object to be measured by projecting spot light onto the object to be measured, and an image pick-up surface projected on the object to be measured at an imaging surface separated by a predetermined distance from the projection point. ,
In a three-dimensional coordinate position measuring method for calculating the position coordinates of the spot image on the object to be measured by performing triangulation using the image pickup angle of the spot image and the distance between the light projecting point and the image pickup surface. , The projection angle and the imaging angle are measured for at least three reference points whose true value of the distance from the reference axis connecting the projection point and the imaging surface is known, and based on the measured values, respectively. Is calculated, and the position coordinates of the spot image on the object to be measured are corrected by using the respective error amounts.
【請求項2】 被測定物にスポット光を投光し,該投光
点から所定距離隔てた撮像面で上記被測定物上に投射さ
れたスポット像を撮像し,上記スポット光の投光角度,
上記スポット像の撮像角度および上記投光点と上記撮像
面との間の距離を用いて三角測量を行うことにより上記
被測定物上のスポット像の位置座標を演算する三次元座
標位置計測方法において,上記投光点と上記撮像面とを
結ぶ基準軸からの距離の真値が既知の少なくとも3個の
基準点を上記投光角度又は上記撮像角度のうちのいずれ
か一方が既知の角度となるように配置しておき,上記各
基準点についてそれぞれ上記投光角度又は上記撮像角度
のうちの未知の方の角度を計測し,上記各計測値に基づ
いてそれぞれの誤差量を演算し,上記各誤差量を用いて
上記被測定物上のスポット像の位置座標を補正すること
を特徴とする三次元座標位置計測方法。
2. A spot image projected onto the object to be measured by projecting spot light onto the object to be measured, and a spot image projected onto the object to be measured is picked up by an image pickup surface separated by a predetermined distance from the light projection point. ,
In a three-dimensional coordinate position measuring method for calculating the position coordinates of the spot image on the object to be measured by performing triangulation using the image pickup angle of the spot image and the distance between the light projecting point and the image pickup surface. , At least three reference points whose true value of a distance from a reference axis connecting the light projecting point and the image pickup surface is known, and one of the light projecting angle and the image pickup angle is a known angle. Are arranged as described above, the unknown angle of the projection angle or the imaging angle is measured for each of the reference points, and each error amount is calculated based on each of the measured values. A three-dimensional coordinate position measuring method, characterized in that the position coordinate of the spot image on the object to be measured is corrected using an error amount.
【請求項3】 上記投光角度の誤差量と撮像角度の誤差
量とが等しいと仮定して,上記計測すべき基準点の数を
2個とすることを特徴とする請求項1又は2記載の三次
元座標位置計測方法。
3. The number of reference points to be measured is set to two on the assumption that the error amount of the projection angle is equal to the error amount of the imaging angle. 3D coordinate position measurement method.
JP19040094A 1994-08-12 1994-08-12 Three-dimensional coordinate position measuring method Pending JPH0854234A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP19040094A JPH0854234A (en) 1994-08-12 1994-08-12 Three-dimensional coordinate position measuring method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP19040094A JPH0854234A (en) 1994-08-12 1994-08-12 Three-dimensional coordinate position measuring method

Publications (1)

Publication Number Publication Date
JPH0854234A true JPH0854234A (en) 1996-02-27

Family

ID=16257525

Family Applications (1)

Application Number Title Priority Date Filing Date
JP19040094A Pending JPH0854234A (en) 1994-08-12 1994-08-12 Three-dimensional coordinate position measuring method

Country Status (1)

Country Link
JP (1) JPH0854234A (en)

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