JPH02290505A - Method and device for measuring sectional area - Google Patents
Method and device for measuring sectional areaInfo
- Publication number
- JPH02290505A JPH02290505A JP11128689A JP11128689A JPH02290505A JP H02290505 A JPH02290505 A JP H02290505A JP 11128689 A JP11128689 A JP 11128689A JP 11128689 A JP11128689 A JP 11128689A JP H02290505 A JPH02290505 A JP H02290505A
- Authority
- JP
- Japan
- Prior art keywords
- measured
- sectional area
- outer diameter
- cross
- 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.)
- Granted
Links
- 238000000034 method Methods 0.000 title claims description 13
- 238000005259 measurement Methods 0.000 claims description 33
- 238000004364 calculation method Methods 0.000 claims description 13
- 238000000691 measurement method Methods 0.000 claims description 3
- 238000003708 edge detection Methods 0.000 abstract description 4
- 230000003287 optical effect Effects 0.000 description 12
- 238000010586 diagram Methods 0.000 description 5
- 238000012935 Averaging Methods 0.000 description 2
- 238000005282 brightening Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000012545 processing Methods 0.000 description 2
- 208000003251 Pruritus Diseases 0.000 description 1
- 238000012937 correction Methods 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 230000007803 itching Effects 0.000 description 1
- 230000002747 voluntary effect Effects 0.000 description 1
Landscapes
- Length Measuring Devices By Optical Means (AREA)
Abstract
Description
【発明の詳細な説明】
く本発明の産業上の利用分野〉
く従来技術〉(第8図)
例えば各種のローラやコード類等のように細長いものの
外径を非接触に測定する場合には、光学的な測定方法が
従来より用いられている。[Detailed Description of the Invention] Industrial Application Field of the Invention Prior Art (Fig. 8) For example, when measuring the outer diameter of a long and thin object such as various rollers or cords without contact, , optical measurement methods have traditionally been used.
即ち、第8図に示すように、平行な光ビームを役受光す
る光センサ1の中央部に被測定物2を配置し、被測定物
2によって遮ぎられた光ビームの受光量あるいは被測定
物2のエッジを光ビームが横切るタイミングを検出する
ことにより被測定物の外径寸法Rを高精度《マイクロメ
ータ単佼》に測定するようにしている。That is, as shown in FIG. 8, an object to be measured 2 is placed in the center of an optical sensor 1 that receives parallel light beams, and the amount of received light beam intercepted by the object to be measured 2 or the amount of the object to be measured is By detecting the timing at which the light beam crosses the edge of the object 2, the outer diameter R of the object to be measured is measured with high accuracy (to the nearest micrometer).
ところが近年、外径だけでなく、断面積を測定したいと
いう要望がある。However, in recent years, there has been a desire to measure not only the outer diameter but also the cross-sectional area.
このため、断面形状が円形と思われるものについては外
径Rを測定し、その外径Rを直径とする円の面積をこの
被測定物の断面積とする方法がとられている。For this reason, a method is used in which the outer diameter R of an object that is thought to have a circular cross-sectional shape is measured, and the area of a circle having the outer diameter R as the diameter is taken as the cross-sectional area of the object.
く発明が解決しようとする課題〉
しかしながら、実際の被測定物の断面形状が完全な真円
であることは非常に少なく、特にμm単位で高精度に外
径測定ができるこの種の外径測定方法は、被測定物の外
表面の僅かなパリや凹凸も含めて測定してしまうため、
一方向で測定された外径値Rを用いて、その断面積を求
める方法では、測定精度が低く、より信頼性のある測定
方法の実現が望まれている。Problems to be Solved by the Invention> However, the cross-sectional shape of an actual object to be measured is very rarely a perfect circle, and this type of outer diameter measurement, which can measure the outer diameter with high precision in μm units, is particularly difficult. This method involves measuring even slight irregularities and irregularities on the outer surface of the object to be measured.
The method of determining the cross-sectional area using the outer diameter value R measured in one direction has low measurement accuracy, and a more reliable measurement method is desired.
本発明はこの課題を解決した断面II4測定方法および
装置を提供することを目的としている。An object of the present invention is to provide a method and apparatus for measuring cross section II4 that solves this problem.
く課題を解決するための手段〉
前記課題を解決するために、本発明の断面積測定方法は
、
被測定物の外径を、この被測定物と交わる所定平面上に
沿った光で異なる方向から測定し、得られた複数の外径
値から、被測定物の所定平面と交わる断面積を算出する
ようにしている。Means for Solving the Problems> In order to solve the above problems, the cross-sectional area measuring method of the present invention includes measuring the outer diameter of an object to be measured in different directions using light along a predetermined plane intersecting the object The cross-sectional area that intersects with a predetermined plane of the object to be measured is calculated from the plurality of outer diameter values obtained.
また、本発明の断面積測定′!&置は、所定平面に沿っ
た測定光を受光し、この測定光の一部を遮ぎるように配
置された被測定物の測定光の向きに対応した外径を測定
する外径測定手段と、
被測定物に対する外径測定手段の測定方向を所定平面上
で相対的に変化させる測定方向可変手段と、
測定方向可変手段により異なる方向で測定された複数の
外径値から被測定物の所定平面と交わる断面積を粋出す
る面積輝出手段とを備えている。Also, the cross-sectional area measurement of the present invention'! & is an outer diameter measuring means for receiving measurement light along a predetermined plane and measuring the outer diameter of the object to be measured corresponding to the direction of the measurement light, which is arranged so as to block a part of this measurement light. , measuring direction variable means for relatively changing the measurement direction of the outer diameter measuring means with respect to the object to be measured on a predetermined plane; and area brightening means for extracting a cross-sectional area that intersects with a plane.
く作用〉
したがって、被測定物の断面積は異なる方向から測定さ
れた複数の外径値に基づいて算出されるため、高精度な
断面積測定が行なえる。Effect> Therefore, since the cross-sectional area of the object to be measured is calculated based on a plurality of outer diameter values measured from different directions, highly accurate cross-sectional area measurement can be performed.
く本発明の実施例〉(第1〜3図) 以下、図面に基づいて本発明の一実施例を説明する。Examples of the present invention> (Figures 1 to 3) Hereinafter, one embodiment of the present invention will be described based on the drawings.
第1図は本発明の一実施例の断面積測定@置の構成を示
す図、第2図は、一実施例の機構部の概略構成を示す図
である。FIG. 1 is a diagram showing the configuration of a cross-sectional area measuring device according to an embodiment of the present invention, and FIG. 2 is a diagram showing a schematic configuration of a mechanism section of the embodiment.
第2図において、10は測定基台、11、12は、被測
定物2を、測定基台10に平行で、且つその両端を回転
自在に支持する支持板であり、方の支持板11にはステ
ップモータ13が取付けられており、その回転軸13a
の先端に設けられたチャック14と、他方側の支持板1
2に設けられたチャック12aで被測定物2の両端を回
転自在に支持する。In FIG. 2, reference numeral 10 denotes a measurement base, and 11 and 12 denote support plates that support the object to be measured 2 parallel to the measurement base 10 and rotatably at both ends. A step motor 13 is attached, and its rotating shaft 13a
The chuck 14 provided at the tip of the support plate 1 on the other side
Both ends of the object to be measured 2 are rotatably supported by chucks 12a provided on the object 2.
15は、光センサ16を測定基台10に対してX−Y方
向に移動させる移動台である。Reference numeral 15 denotes a moving table that moves the optical sensor 16 in the X-Y direction with respect to the measurement base 10.
光センサ16は、投光部17と受光部18とからなり、
測定基台10および被測定物2の支持方向に直交する平
面に沿った光を投光部17より昂引出力し、受光部18
では、この光が被測定物のエッジを通過する毎に反転す
るエッジ検出信号を出力する。The optical sensor 16 includes a light projecting section 17 and a light receiving section 18.
Light along a plane perpendicular to the supporting direction of the measurement base 10 and the object to be measured 2 is outputted from the light projecting section 17, and the light is outputted from the light receiving section 18.
Then, an edge detection signal that is inverted every time this light passes an edge of the object to be measured is output.
このエッジ検出信号は第1図に示すように外径算出手段
20に入力されており、外径算出手段20は、光の罪引
周期などの袢引特性とこのエッジ検出信号の反転タイミ
ングに基づき、外径値を輝出する。This edge detection signal is input to the outer diameter calculation means 20 as shown in FIG. , highlight the outer diameter value.
21は移動台制10装置、22はモータ制Ill装置で
あり、後述する断面積算出手段25からの制御信号によ
りステップモータ13および移動台15の駆動を行なう
。Reference numeral 21 denotes a movable platform system 10 device, and 22 a motor-controlled Ill device, which drive the step motor 13 and the movable platform 15 in response to a control signal from a cross-sectional area calculation means 25, which will be described later.
なお、この移動台制御装1t21は、手動による駆動が
可能になっている(図示せず)。Note that this moving table control device 1t21 can be manually driven (not shown).
断面積輝出手段25は、例えばパーソナルコンピュータ
で構成され、予め、測定条件や初期位置等を設定すると
、移動台制a装置21およびモー夕制御装置22に制御
信号を送出し、外径痒出手段20から出力される外径値
に基づいて断面積の演痺を行ない、その演算結果を表示
するように構成されている。The cross-sectional area brightening means 25 is composed of, for example, a personal computer, and when the measurement conditions and initial position are set in advance, it sends a control signal to the movable platform system a device 21 and the movable control device 22 to determine the outer diameter itching. The cross-sectional area is calculated based on the outer diameter value outputted from the means 20, and the calculation results are displayed.
26は、外径値を記憶する外径値記憶手段、27は設定
された角度ピッチφ、長さビッチp1測定断面数Nに基
づいて移動台制御装@21とモータ制m装置22に移動
条件を設定する移動制御手段であ。Reference numeral 26 denotes an outer diameter value storage means for storing outer diameter values, and 27 indicates movement conditions to the movable table controller @ 21 and the motor controller 22 based on the set angle pitch φ, length pitch p1, number of measurement cross sections N. Set the movement control means.
28は外径値記憶手段26に記憶された外径値から同一
平面上で直交する外径値を直交軸とする楕円の面積を算
出し、その楕円面積を断面毎に平均化する楕円面積算出
手段、29は算出されたN個の楕円面積をその断面数N
で平均化する平均演算手段である。30はこの平均演粋
の結果を被測定物の断面積として表示する表示装置、3
1は表示装置30に外径値、あるいは楕円面積を表示さ
せる表示切替え手段である。28 is an ellipse area calculation that calculates the area of an ellipse whose orthogonal axes are the outer diameter values that are perpendicular to each other on the same plane from the outer diameter values stored in the outer diameter value storage means 26, and averages the ellipse area for each cross section. Means 29 is the calculated area of N ellipses as the number of cross sections N
This is an average calculation means that averages the average value. 30 is a display device that displays the result of this average calculation as a cross-sectional area of the object to be measured;
Reference numeral 1 denotes display switching means for displaying the outer diameter value or the ellipse area on the display device 30.
第3図は、この断面積算出手段25の処理手順を示すフ
ローチャート図である。FIG. 3 is a flowchart showing the processing procedure of this cross-sectional area calculation means 25.
始めに、測定開始位iffL、角度ビッチφ、長さピッ
チpおよび測定断面数NがそれぞれL=20mm、φ=
10度、p=5mm,N=10に設定されると、位置決
め指令が出力され、第4図のように光センサの初期位置
が決定される(ステップ1〜3)。First, the measurement start position ifL, angle pitch φ, length pitch p, and number of measurement cross sections N are L=20 mm and φ=
When set to 10 degrees, p=5 mm, and N=10, a positioning command is output, and the initial position of the optical sensor is determined as shown in FIG. 4 (steps 1 to 3).
初期位置決めが完了すると、現在の光センサ16の位置
(×座標でXo)と、ステップモータMの回転角θが“
0”に初期化され、この時の外径値がR (X,θ)と
して記憶される(ステップ3〜7)。When the initial positioning is completed, the current position of the optical sensor 16 (Xo in the x coordinate) and the rotation angle θ of the step motor M are “
0'', and the outer diameter value at this time is stored as R (X, θ) (steps 3 to 7).
次に、光センサ16が長さピッチp (5mm)ずつ移
動し、その都度外径値が記憶される(ステップ7〜9)
。Next, the optical sensor 16 moves by a length pitch p (5 mm), and the outer diameter value is stored each time (steps 7 to 9).
.
N(10)I!lの測定が終了すると、光センサ16が
初期位置(X=O)まで戻され、ステップモータ13が
φ(10度)だけ回転して再びステップ7〜9の処理が
繰返し行なわれる(ステップ10〜12)。N(10)I! When the measurement of l is completed, the optical sensor 16 is returned to the initial position (X=O), the step motor 13 is rotated by φ (10 degrees), and the processes of steps 7 to 9 are repeated again (steps 10 to 9). 12).
全ての外径値R(0、0)〜R(45、170)が記憶
されると、第5図に示すように、1つの断面について9
0度異なる方向から測定された外径値R(i−p,m−
φ)、R (i−p1m−φ+90)を直交軸(a1b
)とする楕円の面積(πab/4)の平均S(i)が求
められる《ステップ13〜14》。When all the outer diameter values R(0, 0) to R(45, 170) are memorized, as shown in FIG.
The outer diameter value R (i-p, m-
φ), R (i-p1m-φ+90) are orthogonal axes (a1b
) is calculated as the average S(i) of the area (πab/4) of the ellipse.
これによって、1か所の断面を違った角度から測定した
複数の測定値で求めた断而積値を平均化するため、真価
との誤差の少ない断面積を得ることができる。As a result, since the absolute volume values obtained from a plurality of measurement values obtained by measuring one cross section from different angles are averaged, it is possible to obtain a cross-sectional area with less error from the true value.
この計算が10面S(0》〜S(9)について行なわれ
、その平均Sがこの被測定物2の断面積として舞出され
る(ステップ15〜17)。This calculation is performed for 10 surfaces S(0>> to S(9)), and the average S is determined as the cross-sectional area of the object to be measured 2 (steps 15 to 17).
これによって第6図に示すように所定ピッチで複数の断
面積(角度で平均化された面積)が長さ方向で平均化さ
れ,るため、全体としてさらに精度の高い断面積測定を
行なうことができる。As a result, as shown in Figure 6, multiple cross-sectional areas (areas averaged by angle) are averaged in the length direction at a predetermined pitch, making it possible to measure the cross-sectional area with even higher accuracy overall. can.
勿論、長さ方向の平均化を行なわないで測定方向で平均
化した面積S(i)の表示を行なうようにしてもよく、
このようにした場合は長さ方向の断面積変化の様子を知
ることが可能である。Of course, the area S(i) averaged in the measurement direction may be displayed without averaging in the length direction.
In this case, it is possible to know how the cross-sectional area changes in the length direction.
く本発明の他の実施例〉(第7図)
なお、前記実施例では、ステップモータ13を駆動する
ことにより被測定物2を回転して、測定断面に対する外
径測定方向を変化させるようにしていたが、これは本発
明を限定するものでなく、光16センサを被測定物を中
心に回転させるようにしてもよい。Another Embodiment of the Present Invention> (FIG. 7) In the above embodiment, the object to be measured 2 is rotated by driving the step motor 13 to change the outer diameter measurement direction with respect to the measurement cross section. However, this does not limit the present invention, and the optical 16 sensor may be rotated around the object to be measured.
また、前記実施例では、1つの光センサ16を被測定物
に対して相対的にほぼ180度回転するようにしていた
が、例えば第7図に示すように直交する揺引光の役受光
を行なう光センサ40を用い、被測定物に対して相対的
にほぼ90度回転することで前記実施例と同様の測定を
するようにしてもよい。Furthermore, in the embodiment described above, one optical sensor 16 was rotated approximately 180 degrees relative to the object to be measured, but for example, as shown in FIG. The same measurement as in the embodiment described above may be performed by rotating the optical sensor 40 by approximately 90 degrees relative to the object to be measured.
また、前記実施例では、測定方向を10度ずつ変えて外
径の測定を行なうようにしていたが、より細かな角度ピ
ッチで外径測定を行なえば、より高精度な断面積測定が
行なえることは勿論である。In addition, in the above embodiment, the outer diameter was measured by changing the measurement direction in 10 degree increments, but if the outer diameter is measured at a finer angular pitch, more accurate cross-sectional area measurement can be performed. Of course.
また、前記実施例では、長さ方向について測定後、セン
サを初期位置まで戻していたが、戻り方向の測定を行な
うことで、測定時間を短縮することができる。Furthermore, in the embodiment described above, the sensor was returned to the initial position after measuring in the length direction, but by performing the measurement in the returning direction, the measurement time can be shortened.
また、長さ方向の測定を行なった後、回転を行なってい
るが、回転方向を先に測定し、しかる後、長さ方向に移
動しても良い。Further, although the rotation is performed after measuring in the length direction, it is also possible to first measure in the rotation direction and then move in the length direction.
また、被測定物は前記実施例のようにローラのような棒
状ものだけでなく、糸のような柔らかい線状のものや球
状のものについてもその支持方法を変えることにより同
様の断面測定を行なうことができる。In addition, the object to be measured is not only a rod-shaped object such as a roller as in the above embodiment, but also a soft linear object such as a thread or a spherical object by changing the method of supporting the object and performing the same cross-sectional measurement. be able to.
く本発明の効果〉
本発明の断面積測定方法および装置は、前記説明のよう
に1つの断面に対し、異なる複数の方向からその外径値
を測定し、得られた複数の外径値からその断面,積を求
めるようにしているため、被測定物の外周にパリや凹凸
等があっても平均化することで高精度な測定を行なうこ
とができ、測定の信頼性が著しく向上する。Effects of the Present Invention> The cross-sectional area measuring method and apparatus of the present invention measure the outer diameter value of one cross section from a plurality of different directions as described above, and calculate the outer diameter value from the plurality of obtained outer diameter values. Since the cross section and area are determined, even if there are gaps or irregularities on the outer periphery of the object to be measured, highly accurate measurements can be performed by averaging them, and the reliability of measurements is significantly improved.
第1図は本発明の一実施例の構成を示す図、第2図は一
実箱例の機構部を示す斜視図図、第3図は一実施例の要
部の処理手順を示すフO−チャート図である。
第4図は一実施例の動作を説明するための要部斜視図、
第5〜6図は一実施例の処理手順を説明するための図、
第7図は本発明の他の実施例を説明するための要部側面
図である。
第8図は外径測定の原理を説明するための斜視図である
。
13・・・・・・ステップモータ、15・・・・・・移
動台、16・・・・・・光センサ、20・・・・・・外
径悼出手段、21・・・・・・移動台制IIl装置、2
2・・・・・・モータ制a装置、25・・・・・・断面
積算出手段、28・・・・・・楕円面積算出手段、29
・・・・・・平均演棹手段。
特許出願人 アンリツ株式会社
代理人 弁理士 早 川 誠 志
第4図
第6図
手続補正書
(自発)
1.事件の表示
平成1年 特許願 第1 1 1 286号2.発明の
名称 断面積測定方法および装置3.補正をする者
事件との関係 特許出願人
住所 東京都港区南麻布5丁目10番27号名称 (0
57 )アンリツ株式会社
代表者 菅居紳至
4.代理人〒141 電話490−4518住所 東
京都品川区大崎1−17−5
6.
補正の内容FIG. 1 is a diagram showing the configuration of an embodiment of the present invention, FIG. 2 is a perspective view showing the mechanical part of an example of a real box, and FIG. - Chart diagram. FIG. 4 is a perspective view of essential parts for explaining the operation of one embodiment;
5 and 6 are diagrams for explaining the processing procedure of one embodiment,
FIG. 7 is a side view of essential parts for explaining another embodiment of the present invention. FIG. 8 is a perspective view for explaining the principle of outer diameter measurement. 13...Step motor, 15...Moving table, 16...Optical sensor, 20...Outer diameter measuring means, 21... Mobile platform II device, 2
2...Motor control a device, 25...Cross-sectional area calculation means, 28...Ellipse area calculation means, 29
・・・・・・Average derivation means. Patent Applicant Anritsu Corporation Agent Patent Attorney Makoto Hayakawa Figure 4 Figure 6 Procedural Amendment (Voluntary) 1. Case Description 1999 Patent Application No. 1 1 1 286 2. Title of the invention Cross-sectional area measuring method and device 3. Relationship with the person making the amendment Patent applicant address 5-10-27 Minami-Azabu, Minato-ku, Tokyo Name (0
57) Shinji Sugai, Representative of Anritsu Corporation 4. Agent Address: 141 Phone: 490-4518 Address: 1-17-5 Osaki, Shinagawa-ku, Tokyo 6. Contents of correction
Claims (4)
上に沿つた光で異なる方向から測定し、得られた複数の
外径値から、被測定物の所定平面と交わる断面積を算出
する断面積測定方法。(1) The outer diameter of the object to be measured is measured from different directions using light along a predetermined plane that intersects with the object to be measured, and from the obtained multiple outer diameter values, a cross section that intersects with the predetermined plane of the object to be measured is Cross-sectional area measurement method to calculate area.
とする楕円の面積を算出し、該面積の平均演算によつて
前記断面積を算出する第1項記載の断面積測定方法。(2) The cross-sectional area measuring method according to item 1, wherein the area of an ellipse whose orthogonal axes are the outer diameter values measured from directions different by 90 degrees is calculated, and the cross-sectional area is calculated by calculating the average of the areas.
一部を遮ぎるように配置された被測定物の前記測定光の
向きに対応した外径を測定する外径測定手段と、 被測定物に対する前記外径測定手段の測定方向を前記所
定平面上で相対的に変化させる測定方向可変手段と、 前記測定方向可変手段により異なる方向で測定された複
数の外径値から被測定物の前記所定平面と交わる断面積
を算出する断面積算出手段とを備えた断面積測定装置。(3) outer diameter measuring means that receives measurement light along a predetermined plane and measures the outer diameter of the object to be measured corresponding to the direction of the measurement light, which is arranged so as to block a part of the measurement light; , measuring direction variable means for relatively changing the measuring direction of the outer diameter measuring means with respect to the object to be measured on the predetermined plane; and measuring the object to be measured from a plurality of outer diameter values measured in different directions by the measuring direction changing means. A cross-sectional area measuring device comprising: cross-sectional area calculating means for calculating a cross-sectional area of an object that intersects with the predetermined plane.
とする楕円の面積を算出する楕円面積算出手段と、 前記楕円の面積の平均値を算出する平均演算手段とを前
記面積算出手段が備えた第3項記載の断面積測定装置。(4) The area calculation means includes an ellipse area calculation means for calculating the area of an ellipse whose orthogonal axes are outer diameter values measured from directions different by 90 degrees, and an average calculation means for calculating the average value of the area of the ellipse. The cross-sectional area measuring device according to item 3, comprising:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1111286A JPH07117397B2 (en) | 1989-04-28 | 1989-04-28 | Cross-sectional area measuring method and device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1111286A JPH07117397B2 (en) | 1989-04-28 | 1989-04-28 | Cross-sectional area measuring method and device |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH02290505A true JPH02290505A (en) | 1990-11-30 |
| JPH07117397B2 JPH07117397B2 (en) | 1995-12-18 |
Family
ID=14557377
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP1111286A Expired - Lifetime JPH07117397B2 (en) | 1989-04-28 | 1989-04-28 | Cross-sectional area measuring method and device |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH07117397B2 (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110132185A (en) * | 2019-06-18 | 2019-08-16 | 常州工学院 | A method for measuring the cross-sectional area of plant fibers |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS57144403A (en) * | 1981-03-02 | 1982-09-07 | Kubota Ltd | Measuring method for sectional size |
| JPS63293404A (en) * | 1987-05-27 | 1988-11-30 | Hoxan Corp | Volume measuring and detecting method for sorting rod type body such as asparagus or the like |
-
1989
- 1989-04-28 JP JP1111286A patent/JPH07117397B2/en not_active Expired - Lifetime
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS57144403A (en) * | 1981-03-02 | 1982-09-07 | Kubota Ltd | Measuring method for sectional size |
| JPS63293404A (en) * | 1987-05-27 | 1988-11-30 | Hoxan Corp | Volume measuring and detecting method for sorting rod type body such as asparagus or the like |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110132185A (en) * | 2019-06-18 | 2019-08-16 | 常州工学院 | A method for measuring the cross-sectional area of plant fibers |
Also Published As
| Publication number | Publication date |
|---|---|
| JPH07117397B2 (en) | 1995-12-18 |
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