WO1985002252A1 - Apparatus for measuring circumference of figure - Google Patents

Apparatus for measuring circumference of figure Download PDF

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Publication number
WO1985002252A1
WO1985002252A1 PCT/JP1984/000549 JP8400549W WO8502252A1 WO 1985002252 A1 WO1985002252 A1 WO 1985002252A1 JP 8400549 W JP8400549 W JP 8400549W WO 8502252 A1 WO8502252 A1 WO 8502252A1
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WO
WIPO (PCT)
Prior art keywords
perimeter
original
length
circumference
read
Prior art date
Application number
PCT/JP1984/000549
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French (fr)
Japanese (ja)
Inventor
Yuichi Hirota
Original Assignee
Yokogawa Medical Systems, 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.)
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Publication date
Application filed by Yokogawa Medical Systems, Ltd. filed Critical Yokogawa Medical Systems, Ltd.
Publication of WO1985002252A1 publication Critical patent/WO1985002252A1/en

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/24Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness

Definitions

  • the present invention relates to an improvement in a device for measuring a perimeter of a graphic displayed on an image display device, and more particularly to an improvement in a graphic perimeter measuring device using a polygonal approximation method.
  • a quantized figure that resembles the original figure in an S-shape is created by extracting the outline and contours of the original figure, and calculating the perimeter of the approximated polygon to calculate the perimeter of the original figure. Seeking an approximate value for length.
  • One way to race an original figure is to display it on a display and then use a coordinate input device such as a track pole, joystick, tablet, or pen to make a human race. Widely used.
  • One side of the contour of the created approximate polygon is composed of one line segment in eight directions, and the sum of the lengths of all sides of this polygon is the approximate value around the original figure.
  • the measurement error due to the polygonal approximation includes the error due to the unevenness of the corners of the approximated polygon and the error between the (pixel) for quantization and the actual contour.
  • the error due to the corners of the approximate polygon increases as the pixel is made finer, while the error due to misalignment increases as the pixel is made coarser. Due to these two contradictory error factors, there is a limit to the error reduction of such an approximation method.
  • an approximation polygon that connects pixels that are some distance apart rather than a polygon that connects the centers of two adjacent pixels in a digital figure
  • the error is reduced on average compared to the above method, but on the contrary, the error may be increased depending on the shape and size of the original figure.
  • the contour of the original pattern is compared with some basic patterns prepared in advance, the closest pattern is adopted, and the perimeter of this basic pattern is obtained. This method has been widely used recently. However, the applicable patterns are limited by the basic pattern, and if the number of basic patterns is increased, the amount of data to be stored will be enormous.
  • a technique for making the contour of the approximate polygon as close as possible to the contour of the original figure is disclosed in Japanese Patent Laid-Open Publication No. 57-74609. This technique is to sample the coordinates of a probe that is operated by a human to trace the contour of the original figure at a constant period according to the clock signal, and sample these coordinates and these coordinates. The line segment connecting the lines is displayed or recorded by a display device or a recording device. According to this technique, as is the case with human operations, the approximate polygons have many bends because they slowly race where there are many bends in the vergence of the original figure and quickly when there are few bends.
  • An object of the present invention is to provide a perimeter measuring apparatus capable of obtaining the perimeter of an approximate polygon having each side of a variable-length line segment adapted to the shape of an original figure by a simple calculation mechanism. is there.
  • the present invention provides a display screen in which the ⁇ -shape of the original figure displayed on the screen of the display device is raced by a manually operated girder-race race means, and the ⁇ -clause race means is generated.
  • the change amount of each component of the above two-dimensional coordinate is counted by force counter, and this counter
  • the count value is determined by the clock cycle-Periodically, it is read by the perimeter calculation circuit and reset to 0, and the read count value is used to calculate the line segment length.
  • the perimeter of the original figure is calculated by the picture length of the line segment.
  • FIG. 1 is a block diagram showing the configuration of a graphic perimeter measuring apparatus according to an embodiment of the present invention.
  • Figure 2 shows an example of measurement by the device of the present invention.
  • Figure 3 shows a time chart of the measurement example.
  • a rack ball 1 is connected to a coordinate calculation circuit 2 and an XY counter 3.
  • a coordinate memory 4 is connected to the coordinate calculation circuit 2.
  • the perimeter calculation circuit 5 is connected to the x Y counter 3.
  • a clock signal source 6 and a peripheral length memory 7 are connected to the peripheral length calculation circuit 5.
  • Perimeter memory 7 is connected to Character 1: 1: Element 8.
  • the coordinate operation circuit 2 and the character generator 8 are connected to the video memory 9.
  • a digital / analog converter (hereinafter DZA converter) 10 is connected to the video memory 9, and a CRT display device 1 1 is connected to the D ZA converter 10.
  • An image pickup device 1 is connected to the CRT display device 1 ⁇ . 2 is connected.
  • the rack rack pole 1 is equipped with a signal generation circuit and generates a pulse signal according to the rotation of the rack rack ball.
  • This pulse signal contains ⁇ ⁇ (rotation to the right), X— (rotation to the left), y + (rotation to the up), and y— depending on the rotation direction of the rack rack 1.
  • the coordinate calculating circuit 2 calculates the force on the CRT display device ⁇ 1 moved by the rack rack 1--the digital coordinate of the sol, based on the pulse signal and the stored contents of the coordinate memory 4.
  • the coordinate memory 4 stores the coordinates of the cursor calculated by the coordinate calculation circuit 2.
  • the XY counter 3 counts the four types of pulse signals generated by the rack rack 1.
  • the perimeter calculation circuit 5 receives the clock signal from the clock signal source 6 each time
  • ⁇ ⁇ Counter 3 count value is set to 0.
  • a perimeter calculation circuit 5 is realized by, for example, a microprocessor.
  • the clock signal source 6 generates a clock signal with a constant period.
  • the perimeter memory 7 stores the perimeter calculated by the perimeter calculation circuit 5.
  • the character generator 8 generates a character signal for displaying the contents stored in the perimeter memory 7 on the CR T display device 1 1 in numerical form.
  • the video memory 9 stores the force-sol image signal at the address ffl 3 ⁇ 4 at the coordinate calculated by the coordinate calculation circuit 2, and stores the character signal generated by the character generator 8 at an appropriate address.
  • the image signal and the character signal are given to the CRT display device 11 as an analog luminance signal through the DZA comparator 1Q.
  • the force-sol is displayed at the position on the screen specified by the coordinate information, and the number corresponding to the character signal is displayed at an appropriate position on the display screen.
  • the imaging device ⁇ ! 2 images the object whose perimeter is to be determined and displays it on the CRT display device 1-.
  • This device basically uses the polygonal approximation method.
  • the figure to measure the perimeter is imaged by the imaging device ⁇ 2, and this is displayed on the CRT display device ⁇ .
  • the figure displayed on this CRT display device 11 is the original figure for perimeter measurement.
  • the operator races the contour of this original figure by moving the force sol with the rack rack ⁇ .
  • the rack rack 1 outputs a pulse signal to the coordinate calculation circuit 2 and the XY counter 3 with the 0 rotation.
  • Coordinate operation circuit 2 The digital coordinate information is updated based on the output pulse signal, and this digital coordinate information is displayed on the CRT display device 11 as a moving cursor through the video memory 9 and the DZA converter ⁇ 0.
  • the output pulse signal of the rack rack ⁇ is measured by the XY counter 3.
  • the count values ⁇ +, ⁇ —, y T, y — of the XY counter 3 are read by the perimeter length calculation circuit 5 at a constant cycle according to the clock, and then reset to 0.
  • the perimeter calculation circuit 5 uses the count value read from the XY counter 3 to calculate the segment length S by the following equation. Calculate one-'
  • Fig. 2 shows an example of segment measurement such as .., and its time chart is shown in Fig. 3.
  • Fig. 3 show that the convergence boundary line T is raced by the cursor moved by the rack rack ⁇
  • the figure shows the case where the clock signal is generated at the time of the race of the positions of P Q , P 5 and P 9 .
  • the trace of force-sol is displayed on the CRT display device 11 according to the race, but what is required to measure the perimeter is the pixel where the cursor is at the time when the CJC signal is generated. Only P 0 , P 5 and P 9 . Therefore, the ⁇ contour line T is approximated by the two-segmented lace line C.
  • AS ⁇ ] be the segment of the first clock period and S 2 be the segment length of the second clock period.
  • the unit is a relative unit where the interval of pixels is ⁇ .
  • Such a segment length is sequentially calculated from the start to the end of measurement and accumulated in the perimeter memory 7 to obtain the perimeter of the original figure.
  • the length of one side of the approximate polygon obtained by lacing the original figure is measured by the segment moved at fixed time intervals. There is. Therefore, the length of the segment changes depending on the human race speed. That is, the length of the segment is short in the part where the race speed is low, and conversely, the length is long in the part where the race speed is fast. This is because when a human races a certain figure, the race speed is high for the part with a large radius of curvature and the straight line part, and slow for the part with a small radius of curvature and the complex part. Can be used.
  • one side with a large radius of curvature has a long length, and Approximate polygons can be created such that the length of one side of the short part is short, and it is possible to reduce the error when measuring the circumference of various types of figures. Then, such a device is realized by the present invention with a simple configuration.
  • the error can be further reduced.
  • the present invention can be implemented by any type of racing device such as a joystick, a tablet, a light pen, etc. in addition to the rack rack ball.
  • the present invention enables highly accurate perimeter measurement of a figure without being affected by the shape.
  • medical applications such as quantitative measurement of morphological abnormalities, geographical applications such as topographical measurement by aerial photography, engineering applications such as CAD, etc. can be considered, and they have effects in a wide range of fields. .
  • Claim display means having a display screen ( ⁇ 1>,
  • the image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs the variation signals of each component of the two-dimensional coordinates on the display screen of the raced part. And the means of racing ( ⁇ )
  • the count value for each component of the two-dimensional coordinate of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and based on the read count value, the polygonal shape approximated to the original figure is read.
  • An apparatus for measuring the perimeter of a figure comprising:
  • the race means generates a change signal of each component of the two-dimensional coordinates for a change in one direction and a change in the opposite direction.
  • the counting means counts the change signals in the opposite directions of the change signals of the respective components of the two-dimensional coordinates output by the above-mentioned lace means,
  • the perimeter calculating means calculates the length of a piece of polygon approximated to the present figure based on the difference between the count values of the two-dimensional coordinate components read from the counting means in opposite directions. Is,
  • a device for measuring the perimeter of a figure in the scope of claims is a device for measuring the perimeter of a figure in the scope of claims.
  • the image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs each variation signal of each component of the two-dimensional coordinates on the display screen of the race part.
  • the means of racing (1) is the image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs each variation signal of each component of the two-dimensional coordinates on the display screen of the race part.
  • the count value for each component of the two-dimensional coordinates of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and the original figure is approximated based on the read count value.
  • An apparatus for measuring the perimeter of a figure comprising:
  • the cursor display means is.
  • the coordinate calculating means for obtaining the two-dimensional coordinates on the display screen of the part where the lacing means is lacing, and the address corresponding to the coordinates obtained by this coordinate calculating means.
  • Pide-age memory means for storing cursor image information
  • a digital analog conversion means for converting the force image information stored in the video memory means into an analog luminance signal and supplying it to the image display means;
  • the count value for each component of the two-dimensional coordinate of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and based on the read count value, the polygonal shape approximated to the original figure is read.
  • An apparatus for measuring the perimeter of a figure comprising:
  • the perimeter display means The perimeter display means
  • a perimeter measurement value is given from the perimeter calculation means, and this measurement value is converted into a character signal for numerical display.
  • a video memory means for storing a character signal given from the character generator means
  • Digital-analog conversion means for supplying the character signal stored in the video memory means to the image display means as an analog luminance signal
  • a device for measuring the perimeter of a graphic according to claim 8 including.
  • the image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs the variation signals of each component of the two-dimensional coordinates on the display screen of the raced part. And the means of racing ( ⁇ )
  • the count value for each component of the two-dimensional coordinates of the counting means is read at fixed time intervals determined by the clock signal, and they are reset to 0, and the original figure is approximated based on the read measured value.
  • ⁇ operation that calculates the length of a polygon piece and successively accumulates and adds the calculated values each time? Steps (5), (6), (7.),
  • An apparatus for measuring the perimeter of a figure comprising:

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Image Analysis (AREA)
  • Position Input By Displaying (AREA)
  • Measurement Of Length, Angles, Or The Like Using Electric Or Magnetic Means (AREA)
  • Processing Or Creating Images (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

This circumference measuring apparatus is capable of obtaining, with a simple calculation mechanism, the circumference of an approximation polygon of which each side is constituted by a variable-length line segment which conforms to the shape of an original figure. The profile of the original figure displayed on the screen of a display device is traced by a manually-operated profile tracing means. Variations in each of the components of two-dimensional coordinates on the display screen generated by the profile tracing means are calculated by counters. The contents of each of the counters are read and reset to zero by a circumference calculation circuit, every set period of time which is determined by the clock period. The length of each segment is calculated from the read-out counts, and the circumference of the original figure is obtained by totalling the lengths of the segments thus obtained.

Description

明 細 書 図形の周囲長計測置  Clear document Perimeter measurement device
(技術分野〕 (Technical field〕
本発明は、 画像表示装置に表示されている図形の周囲長を計測する装置の改良に関 し、 特に、 多角形近似法を用いた図形周囲長計測装置の改良に関する。  The present invention relates to an improvement in a device for measuring a perimeter of a graphic displayed on an image display device, and more particularly to an improvement in a graphic perimeter measuring device using a polygonal approximation method.
〔背景技術〕 一 [Background Art]
図形の周囲長を計測する方法としては、 計測したい原図形を、 多角形で近似して計 測する方法や、 パターン認識を用いて計測する方法等がある。  As a method of measuring the perimeter of a figure, there are a method of approximating an original figure to be measured with a polygon and a method of using pattern recognition.
多角形近似による方法では、 原図形の卜レースや輪郭抽出等により原図形に S似す る量子化された図形を作成し、 この近似多角形の周囲長を計算することによって、 原 図形の周囲長の近似値を求めている。 原図形を卜レースする方法としては、 図形を表 示装置に表示して、 これをトラックポール、 ジョイス.ティック、 タブレツ卜、 ライ卜 ペン等の座標入力装置を用いて人間が卜レースする方法が広く用いられている。 作成 された近似多角形の 郭の一辺は 8方位の線分の 1つにより構成され、 この多角形の 全ての辺の長さの総和が、 原図形の周囲の近似値となる。  In the method based on polygonal approximation, a quantized figure that resembles the original figure in an S-shape is created by extracting the outline and contours of the original figure, and calculating the perimeter of the approximated polygon to calculate the perimeter of the original figure. Seeking an approximate value for length. One way to race an original figure is to display it on a display and then use a coordinate input device such as a track pole, joystick, tablet, or pen to make a human race. Widely used. One side of the contour of the created approximate polygon is composed of one line segment in eight directions, and the sum of the lengths of all sides of this polygon is the approximate value around the original figure.
多角形近似したことによる計測の誤差には、 近似多角形の角の凹凸による誤差と、 量子化のための (ピクセル) と実際の^郭とのずれによる誤差がある。 近似多角形の 角による誤差は、 ピクセルを細かくすればするほど増加し、 一方位置ずれによる誤差 は、 ピクセルを粗くするほど増加する。 この 2つの背反する誤差要因のために、 この ような近似法の誤差低減には限界がある。  The measurement error due to the polygonal approximation includes the error due to the unevenness of the corners of the approximated polygon and the error between the (pixel) for quantization and the actual contour. The error due to the corners of the approximate polygon increases as the pixel is made finer, while the error due to misalignment increases as the pixel is made coarser. Due to these two contradictory error factors, there is a limit to the error reduction of such an approximation method.
上述の多角形近似による計測方法を改良したものとして、 ディジタル図形の 2つの 隣接するピクセルの中心を結ぶ線を一辺とする近似多角形ではなく、 ある程度離れた ピクセルを結ぶ線を、 一辺とする近似多角形を利用する方法がある。 この方法では、 平均的には前述の方法より誤差は低減されるが、 原図形の計状や大きさによっては、 逆に誤差が大きくなる場合がある。 パターン認識を用いる方法では、原図形の 郭を予め用意してある幾つかの基本パ ターンと比較することにより最も近いバタ一ンを採用し、 この基本パターンの周囲長 を求めている。 この方法は最近広く使用されている。 しかし、 適用できる図形が基本 バターンによつて制限されてしまい、 また基本バタ一ンの種類を増やすと記億すべき データが膨大なものとなる欠点がある。 As an improved version of the above-mentioned polygon approximation measurement method, an approximation polygon that connects pixels that are some distance apart rather than a polygon that connects the centers of two adjacent pixels in a digital figure There is a method of using a polygon. In this method, the error is reduced on average compared to the above method, but on the contrary, the error may be increased depending on the shape and size of the original figure. In the method using pattern recognition, the contour of the original pattern is compared with some basic patterns prepared in advance, the closest pattern is adopted, and the perimeter of this basic pattern is obtained. This method has been widely used recently. However, the applicable patterns are limited by the basic pattern, and if the number of basic patterns is increased, the amount of data to be stored will be enormous.
近似多角形の 郭を原図形の翰郭にできるだけ近づける技術に関しては、 日本特許 公開公報 特開昭 57-74609号に開示されている。 この技術は、 人間が操作して原図形 の^郭を卜レ—スする測定子の座標を、 クロック信号に従って-'定の周期でサンプリ ングし、 これらサンプリングされた座標と、 これら座檫間を結ぶ線分を表示装置ある いは記録装置で、 表示あるいは記録するようにしたものである。 この技術によれば、 人圚の操作の常として、 原図形の輳郭の屈曲の多いところではゆっくり卜レースし、 屈曲の少ないところではすばやく卜レースすることから、 近似多角形は屈曲の多いと ころでは細かな線分で表現され、 屈曲の少ないところでは大まかな線分で表現される ので、 原図形の形状に適応した可変長の線分を各辺とする近似多角形が得られる。 こ の公報は、 原図形の周囲長の計測に関しては、 何も示唆するところがないが、 もし、 周囲長を計測するとすれば、 サンプリングによって得られた座標列の互いに隣り合う 2つの座標を用いて、 これら座標の間の距離すなわち近似多角形の各辺の長さを計算 することが必要になる。 このためサンプリングされた座標を逐一記憶しておく手段が 必要になるが、 そのような手段を必要としない、 できるだけ構成の簡単な周囲長計測 装置が好ましい。  A technique for making the contour of the approximate polygon as close as possible to the contour of the original figure is disclosed in Japanese Patent Laid-Open Publication No. 57-74609. This technique is to sample the coordinates of a probe that is operated by a human to trace the contour of the original figure at a constant period according to the clock signal, and sample these coordinates and these coordinates. The line segment connecting the lines is displayed or recorded by a display device or a recording device. According to this technique, as is the case with human operations, the approximate polygons have many bends because they slowly race where there are many bends in the vergence of the original figure and quickly when there are few bends. Since it is represented by a fine line segment in a roller, and a rough line segment in a place where there is little bending, an approximate polygon with each side of a variable-length segment adapted to the shape of the original figure can be obtained. This publication makes no suggestion as to the measurement of the perimeter of the original figure, but if the perimeter is to be measured, two coordinates adjacent to each other in the coordinate sequence obtained by sampling are used. , It is necessary to calculate the distance between these coordinates, that is, the length of each side of the approximate polygon. For this reason, a means for storing the sampled coordinates one by one is required, but a perimeter measuring device that does not require such a means and has a simple configuration as much as possible is preferable.
〔発明の開示〕 [Disclosure of Invention]
本発明の目的は、 原図形の形状に適応した可変長の線分を各辺とする近似多角形の 周囲長を、 簡単な計算機構によって求めることができる周囲長計測装置を提供するこ とにある。  An object of the present invention is to provide a perimeter measuring apparatus capable of obtaining the perimeter of an approximate polygon having each side of a variable-length line segment adapted to the shape of an original figure by a simple calculation mechanism. is there.
この目的を達成するために、 本発明は、 表示装置の画面に表示された原図形の^郭 を手動操作される铪郭卜レース手段で卜レースし、 ^郭卜レース手段が発生する表示 画面上の 2次元座標の各成分の変化分をそれぞれ力ゥンタで計数し、 このカウンタの  In order to achieve this object, the present invention provides a display screen in which the ^ -shape of the original figure displayed on the screen of the display device is raced by a manually operated girder-race race means, and the ^ -clause race means is generated. The change amount of each component of the above two-dimensional coordinate is counted by force counter, and this counter
O PI 計数値を、 クロック周期によって定まる-定時間ごとに、 周囲長演算回路によって読 み取るとともに 0にリセッ卜し、 読み取った計数値を利用して線分長を計算し、 この ようにして求められた線分長の絵和によって原図形の周囲長を求めるようにしたもの である。 O PI The count value is determined by the clock cycle-Periodically, it is read by the perimeter calculation circuit and reset to 0, and the read count value is used to calculate the line segment length. The perimeter of the original figure is calculated by the picture length of the line segment.
〔図面の簡単な説明〕 [Brief description of drawings]
第 1図は本発明実施例の、 図形の周囲長計測装置の構成を示すプロック図。  FIG. 1 is a block diagram showing the configuration of a graphic perimeter measuring apparatus according to an embodiment of the present invention.
第 2図は本発明実施例装置による計測例。  Figure 2 shows an example of measurement by the device of the present invention.
第 3図は計測例のタイムチヤ一卜。  Figure 3 shows a time chart of the measurement example.
〔発明を実施するための最良の形態〕 [Best Mode for Carrying Out the Invention]
第 1図において、 卜ラックボール 1は座標演算回路 2および X Yカウンタ 3に接続 される。 座標演算回路 2には座標メモリ 4が接続される。 x Yカウンタ 3には周囲長 演算回路 5が接続される。 周囲長演算回路 5にはクロック信号源 6と周囲長メモリ 7 が接続される。 周囲長メモリ 7は ャラクタジ: 1:ネレ一タ 8に接続される。 座標演算 回路 2とキャラクタジエネレ一タ 8はビデオメモリ 9に接続される。 ビデオメモリ 9 にはディジタル♦アナログ ·コンパ- タ (以下 DZAコンバータ〉 1 0が接続され、 D ZAコンバータ 1 0には C R T表示装置 1 1が接続される。 C R T表示装置 1 Ίに は撮像装置 1 2が接続される。  In Figure 1, a rack ball 1 is connected to a coordinate calculation circuit 2 and an XY counter 3. A coordinate memory 4 is connected to the coordinate calculation circuit 2. The perimeter calculation circuit 5 is connected to the x Y counter 3. A clock signal source 6 and a peripheral length memory 7 are connected to the peripheral length calculation circuit 5. Perimeter memory 7 is connected to Character 1: 1: Element 8. The coordinate operation circuit 2 and the character generator 8 are connected to the video memory 9. A digital / analog converter (hereinafter DZA converter) 10 is connected to the video memory 9, and a CRT display device 1 1 is connected to the D ZA converter 10. An image pickup device 1 is connected to the CRT display device 1 Ί. 2 is connected.
卜ラックポール 1は信号発生回路を備え、 卜ラックボールの回転に従ってパルス信 芎を発生する。 このパルス信号には、 卜ラックポール 1の回転方向により、 χ τ (右 方向への回転) 、 X— (左方向への回転) 、 y + (上方向への回転) 、 および y—  The rack rack pole 1 is equipped with a signal generation circuit and generates a pulse signal according to the rotation of the rack rack ball. This pulse signal contains χ τ (rotation to the right), X— (rotation to the left), y + (rotation to the up), and y— depending on the rotation direction of the rack rack 1.
(下方向への回転) の 4種類がある。  There are four types (rotation downward).
座標演算回路 2は、 上記パルス信号と座標メモリ 4の記憶内容とにより、 卜ラック ボール 1によって動かされる C R T表示装置 Ί 1上の力--ソルのディジタル座標を計 算する。 座標メモリ 4は座標演算回路 2により計算されたカーソルの座標を記憶する。 X Yカウンタ 3は、 卜ラックポール 1が発生した 4種類のパルス信号をそれぞれ計数 する。 周囲長演算回路 5は、 クロック信号源 6からクロック信号が入力されるたびに、  The coordinate calculating circuit 2 calculates the force on the CRT display device Ί 1 moved by the rack rack 1--the digital coordinate of the sol, based on the pulse signal and the stored contents of the coordinate memory 4. The coordinate memory 4 stores the coordinates of the cursor calculated by the coordinate calculation circuit 2. The XY counter 3 counts the four types of pulse signals generated by the rack rack 1. The perimeter calculation circuit 5 receives the clock signal from the clock signal source 6 each time
O PIO PI
— WIPO _ x Yカウンタ 3の計数値を読み取り、 この計数値から後述のような計算によりセグメ ン卜長を求め、 これに周囲長メモリ 7の記億内容を加算し、 再び周囲長メモリ 7に記 億させ、 Χ Υカウンタ 3の計数値を 0にセットする。 このような周囲長演算回路 5は, 例えばマイクロプロセッサなどによって実現される。 クロック信号源 6は一定周期の クロック信号を発生する。周囲長メモリ 7は周囲長演算回路 5が計算した周囲長を記 億する。 ャラクタジェネレータ 8は周囲長メモリ 7の記憶内容を C R Τ表示装置 1 1に数字で表示するためのキャラクダ信号を発生する。 ビデオメモリ 9は、座標演 算回路 2が計 した座標に ffl¾するアドレスに力—ソル像信号を記億し、 また適宜の アドレスにキャラクタジェネレータ 8が発生したキャラクタ信号を記憶する。 この力 一ソル像信号とキャラクタ信号は DZAコンパ- -タ 1 Qを通じてアナログの輝度信号 として C R T表示装置 1 1に与えられる。 これによつて、 座標情報によって指定され た表示.画面上の位置に力—ソルが表示され、 さらにキャラクタ信号に対応した数字が 表示画面上の適宜の位置に表示される。撮像装置^! 2は、 周囲長を求めたい物体を摄 像し、 C R T表示装置 1 1に表示する- · — WIPO _ The count value of the x Y counter 3 is read, the segment length is calculated from the count value by the calculation as described below, and the memory contents of the perimeter memory 7 are added to this, and the value is again stored in the perimeter memory 7. , Χ Υ Counter 3 count value is set to 0. Such a perimeter calculation circuit 5 is realized by, for example, a microprocessor. The clock signal source 6 generates a clock signal with a constant period. The perimeter memory 7 stores the perimeter calculated by the perimeter calculation circuit 5. The character generator 8 generates a character signal for displaying the contents stored in the perimeter memory 7 on the CR T display device 1 1 in numerical form. The video memory 9 stores the force-sol image signal at the address ffl ¾ at the coordinate calculated by the coordinate calculation circuit 2, and stores the character signal generated by the character generator 8 at an appropriate address. The image signal and the character signal are given to the CRT display device 11 as an analog luminance signal through the DZA comparator 1Q. As a result, the force-sol is displayed at the position on the screen specified by the coordinate information, and the number corresponding to the character signal is displayed at an appropriate position on the display screen. The imaging device ^! 2 images the object whose perimeter is to be determined and displays it on the CRT display device 1-.
このように構成された図形め周囲長計測装置による計測動作'を説明する。 この装置 は、 基本的には多角形近似法を用いている。  A measurement operation'by the graphic perimeter measuring device configured as above will be described. This device basically uses the polygonal approximation method.
周囲長を計測しょうとする図形を攝像装置 Ί 2により撮像し、 これを C R T表示装 置 Ί に表示する。 この C R T表示装置 1 1に表示された図形が、 周囲長計測の原図 形となる。 操作者は、 この原図形の 郭を卜ラックポール Ίにより力一ソルを動かし て卜レースする。 卜ラックポール 1はその 0転にともない、 座標演算回路 2及び X Y カウンタ 3にパルス信号を出力する。  The figure to measure the perimeter is imaged by the imaging device Ί 2, and this is displayed on the CRT display device Ί. The figure displayed on this CRT display device 11 is the original figure for perimeter measurement. The operator races the contour of this original figure by moving the force sol with the rack rack Ί. The rack rack 1 outputs a pulse signal to the coordinate calculation circuit 2 and the XY counter 3 with the 0 rotation.
座標演算回路 2出力されたパルス信号に基づいてディジタル座標情報が更新され、 このディジタル座標情報がビデオメモリ 9及び DZAコンバータ Ί 0を通じて、 移動 するカーソルとして C R T表示装置 1 1に表示される。  Coordinate operation circuit 2 The digital coordinate information is updated based on the output pulse signal, and this digital coordinate information is displayed on the CRT display device 11 as a moving cursor through the video memory 9 and the DZA converter Ί 0.
一方、 卜ラックポール Ίの出力パルス信号は、 XYカウンタ 3で計測される。 X Y カウンタ 3の計数値 χ + , χ—, y T , y—は周囲長演算回路 5により、 クロックに したがって一定の周期で読取られ、 次いで 0にリセッ卜される。 周囲長演算回路 5は、 X Yカウンタ 3から読取った計数値を用いて、 次式によりセグメントの長さ厶 Sを計 算する。 一-' On the other hand, the output pulse signal of the rack rack Ί is measured by the XY counter 3. The count values χ +, χ —, y T, y — of the XY counter 3 are read by the perimeter length calculation circuit 5 at a constant cycle according to the clock, and then reset to 0. The perimeter calculation circuit 5 uses the count value read from the XY counter 3 to calculate the segment length S by the following equation. Calculate one-'
AS = (∑X +—∑ X— ) 2 + ( y + --∑y AS = (∑X + —∑X—) 2 + (y + --∑y
.のようなセグメント計測例を第 2図に、 またそのタイムチヤ一卜を第 3図に示す, これらの図は、 輳郭線 Tを、 卜ラックポール Ίによって動かされるカーソルにより卜 レースし、 ピクセル P Q、 P 5及び P 9の位置を卜レースしている時点に、 それぞれ クロック信号が発生した場合を示している。 最初のクロック周期に間 ^力一ソルは 5 ピクセルに渡って卜レースし、 次のクロック周期の間で 4ピクセルに渡って卜レース している。 卜レースに従って、 C R T表示装置 1 1に力一ソルの軌跡が表示されるが、 周囲長の計測に要求されるのは、 ク CJック信号が発生した時点においてカーソルが存 在するピクセル、 すなわち P 0, P 5及び P 9だけである。 従って、 ^郭線 Tは 2本 のセグメントからなる卜レース線 Cにより近似される。 Fig. 2 shows an example of segment measurement such as .., and its time chart is shown in Fig. 3. These figures show that the convergence boundary line T is raced by the cursor moved by the rack rack Ί, The figure shows the case where the clock signal is generated at the time of the race of the positions of P Q , P 5 and P 9 . During the first clock cycle, Rikiichi Sor races for 5 pixels and for the next clock cycle it races for 4 pixels. The trace of force-sol is displayed on the CRT display device 11 according to the race, but what is required to measure the perimeter is the pixel where the cursor is at the time when the CJC signal is generated. Only P 0 , P 5 and P 9 . Therefore, the ^ contour line T is approximated by the two-segmented lace line C.
最初のクッ ciク周期のセグメント ¾さを AS ·]とし、 2回目のクロック周期のセグ メン卜の長さを厶 S 2とすると、 Let AS ·] be the segment of the first clock period and S 2 be the segment length of the second clock period.
2 , 2  twenty two
.AS 广 A/3 l+ 2 .AS 广 A / 3 l + 2
= 3 . -6 0 5
Figure imgf000007_0001
= 3 .-6 0 5
Figure imgf000007_0001
= 2  = 2
となる。 ただし、 単位は、 ピクセルの間隔を Ίとする相対単位である。 このようなセ グメン卜長を計測開始から終了まで逐次計算し、 周囲長メモリ 7に累積して、 原図形 の周囲長を求める。 Becomes However, the unit is a relative unit where the interval of pixels is Ί. Such a segment length is sequentially calculated from the start to the end of measurement and accumulated in the perimeter memory 7 to obtain the perimeter of the original figure.
以上説明したように、 本発明による図形の周囲長計測装置では、 原図形を卜レース して得られる近似多角形の一辺の長さを、 一定の時間間隔に移動したセグメントによ り計測している。 このためセグメントの長さは、 人間の卜レース速度によって変化す る。 すなわち、 卜レース速度が遅い部分ではセグメントの長さが短く、 逆に卜レース 速度が早いところでは、 セグメントの長さが長くなる。 これは、 人間が、 ある図形を 卜レースする場合に、 曲率半径が大きい部分や直線部分は卜レース速度が早くなり、 曲率半径が小さい部分や複雜な部分は卜レース速度が遅くなるという特性を利用する ことができる。 すなわち、 曲率半径の大きい部分の一辺の長さは長く、 曲率半径の小 さい部分の一辺の長さが短いような、 近似多角形を作ることができ、 多種多様な図形 の周囲計測において誤差の低滹が可能になる。 そして、 このような装置が本発明によ り簡単な構成で実現される。 As described above, in the apparatus for measuring the perimeter of a figure according to the present invention, the length of one side of the approximate polygon obtained by lacing the original figure is measured by the segment moved at fixed time intervals. There is. Therefore, the length of the segment changes depending on the human race speed. That is, the length of the segment is short in the part where the race speed is low, and conversely, the length is long in the part where the race speed is fast. This is because when a human races a certain figure, the race speed is high for the part with a large radius of curvature and the straight line part, and slow for the part with a small radius of curvature and the complex part. Can be used. That is, one side with a large radius of curvature has a long length, and Approximate polygons can be created such that the length of one side of the short part is short, and it is possible to reduce the error when measuring the circumference of various types of figures. Then, such a device is realized by the present invention with a simple configuration.
なお、 ピクセルを細かくし、 それに対応できるように卜ラックポールの感度を上げ れぱ、 さらに誤差を低減できる。  In addition, if the pixels are made finer and the sensitivity of the rack pole is increased so as to accommodate it, the error can be further reduced.
本実施例では、 原図形を C R T表示装置に表示した場合の例を示したが、 他の表示 装置でも本発明の実施が可能である。  In this embodiment, an example in which the original figure is displayed on the CRT display device has been shown, but the present invention can be practiced on other display devices.
また、 原図形を卜レースする手段としては、 卜ラックボールの他に、 ジョイスティ ック、 タブレツ卜、 ライトペン等のあらゆる卜レース装置により、 本発明の実施が可  Further, as a means for racing the original figure, the present invention can be implemented by any type of racing device such as a joystick, a tablet, a light pen, etc. in addition to the rack rack ball.
|¾ C' OO O a  | ¾ C'OO O a
〔産業上の利用可能性〕 . . [Industrial availability] ..
以上説明したように、 本発明により、 形状に影罾されずに高精度の.図形の周囲長計 測が可能になった。 これにより、 形態異常を起こしている箇所の定量測定等の医学応 用、 航空写真による地形計測等の地理応用、 CA D等の工学応用等の応用が考えられ、 広い分野での効果がある。 .  As described above, the present invention enables highly accurate perimeter measurement of a figure without being affected by the shape. As a result, medical applications such as quantitative measurement of morphological abnormalities, geographical applications such as topographical measurement by aerial photography, engineering applications such as CAD, etc. can be considered, and they have effects in a wide range of fields. .
' ― OMPI 、 、 請求の範囲 表示画面を有する画漦表示手段 ( Ί 1 〉 と、 '― OMPI, Claim display means having a display screen (Ί 1>,
この画像表示手段の表示画面に周囲長が計測されるべき原図形を表示させる撮 像手段 ( 1 2 ) と、  The image display means (1 2) for displaying the original figure whose circumference is to be measured on the display screen of this image display means,
前記画像表示手段がその表示画面に表示している原図形の 郭を手動操作によ り卜レースし、 卜レース部位の表示画面上の 2次元座標の各成分のそれぞれの変 化分信号を出力する卜レース手段 ( Ί ) と、  The image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs the variation signals of each component of the two-dimensional coordinates on the display screen of the raced part. And the means of racing (Ί)
この卜レース手段の出力信号を 2次元座標の各成分ごとに 数する計数手段 ( 3 ) と、  Counting means (3) for counting the output signal of this race means for each component of the two-dimensional coordinates, and
クロック信号によって定まる一定時間ごとに前記計数手段の 2次元座標の各成 分ごとの計数値を読取るとともに、 それらを 0にリセッ卜し、 読取った計数値に 基づいて原図形に近似する多角形の一片の長さを計算し、 毎回の計算値を逐次累 積加.算する周囲長演算手段 ( 5 ) , ( 6〉 . ( 7 ) と、  The count value for each component of the two-dimensional coordinate of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and based on the read count value, the polygonal shape approximated to the original figure is read. Perimeter calculation means (5), (6〉. (7), which calculates the length of a piece and sequentially accumulates and adds the calculated values each time.
を具備する図形の周囲長計測装置。 An apparatus for measuring the perimeter of a figure, comprising:
.卜レース手段は、 2次元座標の各成分の変化分信号を、 一つの方向への変化と、 その反対方向への変化について、 それぞれ発生するものであり、  . The race means generates a change signal of each component of the two-dimensional coordinates for a change in one direction and a change in the opposite direction.
計数手段は、 前記卜レース手段が出力する 2次元座標の各成分の変化分信号の 互いに反対方向の変化分信号をそれぞれ計数するものであり、  The counting means counts the change signals in the opposite directions of the change signals of the respective components of the two-dimensional coordinates output by the above-mentioned lace means,
周囲長演算手段は、 前記計数手段から読取った 2次元座標の各成分の互いに反 対方向の変化分の計数値の差に基づいて現図形近似する多角形の一片の長さを計 算するものである、  The perimeter calculating means calculates the length of a piece of polygon approximated to the present figure based on the difference between the count values of the two-dimensional coordinate components read from the counting means in opposite directions. Is,
請求の範囲 Ίの図形の周囲長計測装置。 A device for measuring the perimeter of a figure in the scope of claims.
卜レース手段は卜ラックボールである、 請求の範囲 2の図形の周囲長計測装置。 周囲長演算手段は、 計算値の累積加算値を記憶する記憶手段を含む、 請求の範 囲 1の図形の周囲長計測装置。  The device for measuring the circumference of a figure according to claim 2, wherein the means for racing is a rack ball. The perimeter measuring device for a figure according to claim 1, wherein the perimeter calculating means includes a storage means for storing a cumulative addition value of the calculated values.
表示画面を有する画像表示手段 ( 1 1 〉 と、  An image display means (11>) having a display screen,
この画像表示手段の表示画面に周囲長が計測されるべき原図形を表示させる撮  An image is displayed on the display screen of this image display means, and the original figure whose circumference is to be measured is displayed.
Ο ΡΙ この画像表示手段の表示画面に周囲長が計測されるべき原図形を表示させる撮 像手段(12)と、 Ο ΡΙ An imaging means (12) for displaying an original figure whose perimeter should be measured on the display screen of this image display means,
前記画像表示手段がその表示画面に表示している原図形の輪郭を手動操作によ り卜レースし、 卜レース部位の表示画面上の 2次元座標の各成分のそれぞれの変 化分信号を出力する卜レース手段( 1 ) と、  The image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs each variation signal of each component of the two-dimensional coordinates on the display screen of the race part. The means of racing (1)
この卜レース手段が卜レースしている表示画面上の部位を前記画像表示手段に カーソルとして表示させるカーソル表示手段(2) , (4) , (9) , (10) と、  Cursor display means (2), (4), (9), (10) for displaying the portion on the display screen in which the lace means is displayed as a cursor on the image display means,
前記卜レース手段の出力信号を 2次元座標の各成分ごとに計数する計数手段 (3) と、  Counting means (3) for counting the output signal of the above-mentioned race means for each component of the two-dimensional coordinates,
クロック信号によつて定まる一定時間ごとに前記計数手段の 2次元座標の各成 分ごとの計数値を読取るとともに、 それらを 0にリセッ卜し、 読取った計数値に 基づいて原図形に近似する多角形の一片の長さを計算し、 毎回の計算値を逐次累 積加算する図形の周囲長演算手段(5), (6) . (7) と、  The count value for each component of the two-dimensional coordinates of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and the original figure is approximated based on the read count value. Perimeter calculation means (5), (6). (7) for figures that calculate the length of a rectangular piece and successively accumulate and add the calculated values each time.
を具備する図形の周囲長計測装置。 An apparatus for measuring the perimeter of a figure, comprising:
カーソル表示手段は、 .  The cursor display means is.
卜レース手段の出力信号に基づいて、 卜レース手段が卜レースしている部位の 表示画面上の 2次元座標を求める座標演算手段と、 ' この座標演算手段によって求められた座標に対応するアドレスにカーソル像情 報を記億するピデ才メモリ手段と、  Based on the output signal of the lacing means, the coordinate calculating means for obtaining the two-dimensional coordinates on the display screen of the part where the lacing means is lacing, and the address corresponding to the coordinates obtained by this coordinate calculating means. Pide-age memory means for storing cursor image information,
このビデオメモリ手段に記憶された力一ソル像情報をアナログの輝度信号に変 換して前記画像表示手段に供給するディジタルアナ πグ変換手段と、  A digital analog conversion means for converting the force image information stored in the video memory means into an analog luminance signal and supplying it to the image display means;
を含む請求の範囲 5の図形の周囲長計測装置。 A device for measuring the perimeter of a figure according to claim 5, including.
座標演算手段は、 演算した座標を記億する座標記億手段を含む請求の範囲 6の 図形の周囲長計測装置。  The device for measuring a perimeter of a figure according to claim 6, wherein the coordinate calculation means includes coordinate storage means for storing the calculated coordinates.
表示画面を有する画像表示手段( Ί 1 ) と、  An image display means (Ί 1) having a display screen,
この画像表示手段の表示画面に周囲長が計測されるべき原図形を表示させる撮 像手段(12) と、 . ―  Image capturing means (12) for displaying the original figure whose circumference is to be measured on the display screen of this image display means,
O PI り卜レースし、 卜レース部位の表示画面上の 2次元座標の各成分のそれぞれの変 化分信号を出力する卜レース手段 ( 1 ) と、 O PI And a race means (1) for performing a race and outputting each variation signal of each component of the two-dimensional coordinates on the display screen of the race portion.
この卜レース手段の出力信号を 2次元座標の各成分ごとに計数する計数手段 (3) と、  Counting means (3) for counting the output signal of this lacing means for each component of the two-dimensional coordinates, and
クロック信号によって定まる一定時間ごとに前記計数手段の 2次元座標の各成 分ごとの計数値を読取るとともに、 それらを 0にリセッ卜し、 読取った計数値に 基づいて原図形に近似する多角形の一片の長さを計算し、 毎回の計算値を逐次累 積加算する周囲長演算手段 (5) , (6) , (7) と、  The count value for each component of the two-dimensional coordinate of the counting means is read at fixed time intervals determined by the clock signal, and the count values are reset to 0, and based on the read count value, the polygonal shape approximated to the original figure is read. A perimeter calculation means (5), (6), (7) for calculating the length of one piece and successively accumulating and adding the calculated values each time,
この周囲長演算手 によって得られた周囲長計算値を前記画像表示手段の画面 に表示させる周囲長表示手段 (8) , (9〉 , ( 10〉 と、  Perimeter display means (8), (9>, (10) for displaying the perimeter calculation value obtained by the perimeter calculator on the screen of the image display means,
を具備する図形の周囲長計測装置。  An apparatus for measuring the perimeter of a figure, comprising:
周囲長表示手段は、  The perimeter display means
. 周囲長演算手段から周囲長計測値が与えられ、 この計測値を数値表示用のキヤ ラクタ信号に変換する 4:ヤシクタジ: rネレ一タ手段と、  A perimeter measurement value is given from the perimeter calculation means, and this measurement value is converted into a character signal for numerical display.
このキャラクタジェネレータ手段から'与えられるキャラクタ信号を記憶するビ デ才メモリ手段と、  A video memory means for storing a character signal given from the character generator means,
このビデオメモリ手段に記憶されたキャラクタ信号をアナログの輝度信号とし て前記画像表示手段に供給するディジタルアナログ変換手段と、  Digital-analog conversion means for supplying the character signal stored in the video memory means to the image display means as an analog luminance signal,
を含む請求の範囲 8の図形の周囲長計測装置。 A device for measuring the perimeter of a graphic according to claim 8 including.
表示画面を有する画像表示手段 ( 1 Ί ) と、  Image display means (1 Ί) having a display screen,
この画像表示手段の表示画面に周囲長が計測されるべき原図形を表示させる撮 像手段 ( 12) と、  An imaging means (12) for displaying an original figure whose perimeter is to be measured on the display screen of this image display means,
前記画像表示手段がその表示画面に表示している原図形の 郭を手動操作によ り卜レースし、 卜レース部位の表示画面上の 2次元座標の各成分のそれぞれの変 化分信号を出力する卜レース手段 ( Ί ) と、  The image display means races the outline of the original figure displayed on the display screen by manual operation, and outputs the variation signals of each component of the two-dimensional coordinates on the display screen of the raced part. And the means of racing (Ί)
この卜レース手段が卜レースしている表示画面上の部位を前記画像表示手段に カーソルとして表示させるカーソル表示手段 (2) , (4) , (9) , (10) と、 と、 Cursor display means (2), (4), (9), (10) for displaying a portion on the display screen in which the lace means is on the image display means as a cursor, When,
前記卜レース手段の出力信号を 2次元座標の各成分ごとに計数する計数手段 (3) と、  Counting means (3) for counting the output signal of the above-mentioned race means for each component of the two-dimensional coordinates,
クロック信号によつて定まる一定時間ごとに前記計数手段の 2次元座標の各成 分ごとの計数値を読取るとともに、 それらを 0にリセッ卜し、 読取った計致値に 基づいて原図形に近似する多角形の一片の長さを計算し、 毎回の計算値を逐次累 積加算する周囲^演算?段( 5 ) , (6) , (7.) と、  The count value for each component of the two-dimensional coordinates of the counting means is read at fixed time intervals determined by the clock signal, and they are reset to 0, and the original figure is approximated based on the read measured value. Around ^ operation that calculates the length of a polygon piece and successively accumulates and adds the calculated values each time? Steps (5), (6), (7.),
この周囲長演算手段によって得られた周囲長計算値を前記画像表示手段の画面 に表示させる周囲長表示手段(8), (9) , (10) と、  Perimeter display means (8), (9), (10) for displaying the perimeter calculation value obtained by the perimeter calculation means on the screen of the image display means,
を具備する図形の周囲長計測装置。 An apparatus for measuring the perimeter of a figure, comprising:

Claims

第 19条に基づく説明書  Instructions based on Article 19
請求の範囲 1の項については、 引例によって開示されている技術をすベてプリアン ブルに含むように補正した。 With regard to the term of claim 1, all the technologies disclosed in the reference are amended so as to be included in the preamble.
請求の範囲の 3項については、 図面の引用符号を付加するとともに、 従属先を請求 の範囲の Ί項に変更した。  Regarding the three items of the scope of the claims, the reference signs of the drawings are added, and the dependent party is changed to the paragraph Ί of the claims.
請求の範囲の 4項については、 図面の引用符号を付加した。  With respect to paragraph 4 of the claims, reference numerals of the drawings are added.
請求の範囲の 8項については、 請求の範囲の 1項に従属するように補正した。 請求の範囲の 2, 5, 6, 7, 9, 10項は、 それらの特徴部分が引例によって開 示されているので削除した。  Paragraph 8 of the claim was amended so as to be dependent on claim 1. Paragraphs 2, 5, 6, 7, 9 and 10 of the claims are deleted because those characteristic parts are disclosed by reference.
O PI O PI
PCT/JP1984/000549 1983-11-18 1984-11-15 Apparatus for measuring circumference of figure WO1985002252A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP58/217454 1983-11-18
JP58217454A JPS60110084A (en) 1983-11-18 1983-11-18 Measuring device for graphic peripheral length

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WO1985002252A1 true WO1985002252A1 (en) 1985-05-23

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JP2684191B2 (en) * 1988-07-11 1997-12-03 三井造船株式会社 Inspection system for concrete structures
JP4751356B2 (en) * 2007-03-26 2011-08-17 酒井重工業株式会社 Safety device for hand guide roller

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JPS5883869U (en) * 1981-11-30 1983-06-07 ソニー株式会社 television receiver
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US3541541A (en) * 1967-06-21 1970-11-17 Stanford Research Inst X-y position indicator for a display system
JPS53128356A (en) * 1977-04-14 1978-11-09 Sony Corp Peripheral length measuring system of non-contact type
JPS5774609A (en) * 1980-10-28 1982-05-10 Kosaka Kenkyusho:Kk Profile recorder for solid body
JPS5883869U (en) * 1981-11-30 1983-06-07 ソニー株式会社 television receiver
JPS58149581A (en) * 1982-02-27 1983-09-05 Fanuc Ltd Generating system of part program data

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JPS60110084A (en) 1985-06-15

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