JPS63147278A - Method and device for calculating intersecting point between area boundary on picture and known function - Google Patents

Method and device for calculating intersecting point between area boundary on picture and known function

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Publication number
JPS63147278A
JPS63147278A JP61293428A JP29342886A JPS63147278A JP S63147278 A JPS63147278 A JP S63147278A JP 61293428 A JP61293428 A JP 61293428A JP 29342886 A JP29342886 A JP 29342886A JP S63147278 A JPS63147278 A JP S63147278A
Authority
JP
Japan
Prior art keywords
point
intersection
coordinates
known function
image
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
JP61293428A
Other languages
Japanese (ja)
Inventor
Hiroshi Tsukada
弘志 塚田
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.)
Toshiba Corp
Original Assignee
Toshiba Corp
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 Toshiba Corp filed Critical Toshiba Corp
Priority to JP61293428A priority Critical patent/JPS63147278A/en
Publication of JPS63147278A publication Critical patent/JPS63147278A/en
Pending legal-status Critical Current

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  • Image Processing (AREA)
  • Image Analysis (AREA)

Abstract

PURPOSE:To decrease the number of timers of transfer and to shorten the calculation time by transferring once the density of a dividing point to compare it with the density of an area and defining only one of two areas divided at the dividing point as a checking range. CONSTITUTION:The images picked up by an ITV camera 7 are stored in a picture memory 9 through an A/D converter 8 so that the areas P and phi have different density ranges. The coordinates of points A and B of known functions of areas P and phi are stored in the coordinate storing memories 1 and 2 respectively. A middle point coordinate calculating circuit 3 outputs the point A and a middle point M to an intersecting point discriminating circuit 4 from both points A and B. When the discrimination condition is not satisfied, the circuit 3 rewrites the set points of an area different from a dividing point into two points A and B of a new known function for the calculation of the intersecting point coordinates.

Description

【発明の詳細な説明】 [発明の目的] (産業上の利用分野) 画像上の特徴点を求める画像処理において、画像上の領
域境界と既知関数との交点算出方法と装置に関する。
DETAILED DESCRIPTION OF THE INVENTION [Object of the Invention] (Industrial Application Field) The present invention relates to a method and apparatus for calculating an intersection between a region boundary on an image and a known function in image processing for finding feature points on an image.

(従来の技術) 画像上の未知の領域境界と既知関数y−r(x)との交
点を算出する方法と装置については、従来画像が濃度に
応じて未知の領域境界(2)によって分割されている領
域の濃度の差を用いて、既知関数との交点座標を求めて
いた。第4図のように既知関数によって分割された2つ
の領域の一方の領域の濃度をρ、他方の濃度をψとする
と、画像メモリ上の点A (x、  f (x) )か
ら逐次濃度データを実メモリ上に読取り、読み取った濃
度データがψとなる点の座標を交点としていた。
(Prior Art) Regarding the method and apparatus for calculating the intersection point between the unknown region boundary on an image and the known function yr(x), conventionally an image is divided by the unknown region boundary (2) according to the density. The coordinates of the intersection with the known function were calculated using the difference in density between the regions. As shown in Fig. 4, if the density of one of the two regions divided by a known function is ρ and the density of the other is ψ, the density data is sequentially obtained from point A (x, f (x)) on the image memory. was read into the real memory, and the coordinates of the point where the read concentration data was ψ were taken as the intersection point.

この様な技術を利用しうるものとして、位置調整のため
の測定などがあるが1、特にVTR磁気ヘッドの調整に
おいて、現在は回転体であるところのディスクに2つの
磁気ヘッドが回転軸に対して正確に180度の対向角度
に取付けられるために、各ヘッドに対応するように配置
された一対の顕微鏡で拡大し、磁気ヘッド上に設けられ
たギャップが各顕微鏡における中心に位置するが否かに
よって正しい位置とのずれを測定していた。
One possible use of this technology is measurement for position adjustment.1 In particular, in the adjustment of VTR magnetic heads, two magnetic heads are placed on a disk, which is currently a rotating body, relative to a rotating shaft. Magnify with a pair of microscopes arranged so as to correspond to each head so that they are mounted at exactly 180 degrees facing angle, and the gap provided on the magnetic head is located at the center of each microscope. The deviation from the correct position was measured by

(発明が解決しようとする問題点) 従来の技術では、交点座標を算出する場合、画像メモリ
上に濃度データの実メモリへの転送回数が、画像メモリ
上の領域境界の位置によって著しく異なり、このような
作業を繰返し多数回にわたつて行なう場合、高速で交点
を算出することが、困難であった。
(Problems to be Solved by the Invention) In the conventional technology, when calculating intersection coordinates, the number of transfers of density data on the image memory to the real memory varies significantly depending on the position of the area boundary on the image memory. When such operations are repeated many times, it is difficult to calculate intersection points at high speed.

本発明は従来技術のこのような欠点を解消し、高速で交
点を算出する方法と装置を提供する。
The present invention overcomes these drawbacks of the prior art and provides a method and apparatus for calculating intersection points at high speed.

[発明の構成] (問題点を解決するための手段) 上記問題点を解決するためには、画像メモリ上の濃度デ
ータを実メモリに転送する回数を出来るだけ少なくする
ことを必要とする。
[Structure of the Invention] (Means for Solving the Problems) In order to solve the above problems, it is necessary to reduce the number of times the density data on the image memory is transferred to the real memory as much as possible.

第5図に示すように、濃度に応じて分けられた領域境界
を挟む既知関数上の2つの点を設定し、設定された2点
の既知関数上の分割点と予め定められた精度の値によっ
て定まる判別条件を満たさないときは、分割点と異なる
領域の設定点を新たな既知関数上の二つの点として設定
し、判別条件を満たすとき、分割点を画像上の領域境界
と既知関数との交点を算出する。
As shown in Figure 5, two points on the known function are set that sandwich the boundary of the area divided according to density, and the dividing point on the known function and the predetermined accuracy value are set. If the discriminant condition determined by Calculate the intersection of

(作用) 分割点Mの濃度を1回転送し、領域ρの濃度と比較する
ことで、分割点Mで分割された一方のみを次の交点算出
のための調査範囲としたため、それを所定回繰返すこと
によって、従来の一点づつ濃度データを転送する方法よ
り画像上の領域に左右されずに転送回数が少なくなる可
能性が極めて高く、算出時間を減少することができる。
(Operation) By transferring the density of the dividing point M once and comparing it with the density of the area ρ, only one side divided by the dividing point M is set as the investigation range for the next intersection point calculation, and it is used for the specified number of times. By repeating the process, it is extremely likely that the number of transfers will be smaller than the conventional method of transferring density data one point at a time, regardless of the area on the image, and the calculation time can be reduced.

(実施例) 以下本発明の実施例を第1図乃至第4図によって説明す
る。
(Example) Examples of the present invention will be described below with reference to FIGS. 1 to 4.

第1図は本発明の方法を実施するための交点算出装置の
一実施例を示すもので、ITVカメラ(7)とA/D変
換器(8)と画像メモリ(9)からなる撮像手段と、濃
度データ読取り回路(5)と濃度データ比較回路(6)
と座標格納メモリ(1)、(2)からなる座標設定手段
と、中点座標算出回路(3)からなる分割点算出手段と
、交点判別回路(4)からなる交点判別手段によって構
成される。
FIG. 1 shows an embodiment of an intersection calculation device for carrying out the method of the present invention, which includes an imaging means consisting of an ITV camera (7), an A/D converter (8), and an image memory (9). , concentration data reading circuit (5) and concentration data comparison circuit (6)
and coordinate setting means consisting of coordinate storage memories (1) and (2), dividing point calculating means consisting of a midpoint coordinate calculating circuit (3), and intersection determining means comprising an intersection determining circuit (4).

ITVカメラ(7)により、領域ρの濃度がρ。乃至ρ
1の範囲内にあり、領域ρ以外の領域ψが、領域ρと異
なる濃度範囲を持つように、第2図のような撮像された
画像をA/D変換器(8)を通して画像メモリ(9)上
に格納する。
The density of the region ρ is determined by the ITV camera (7). 〜ρ
The captured image as shown in FIG. 2 is stored in the image memory (9) through the A/D converter (8) so that the area ψ other than the area ρ and within the range ρ has a density range different from the area ρ. ) to store on.

これと同時に、領域ρ上で既知関数y−f(x)(ただ
し、f (x)はf (x)−px十qで表される任意
の1次関数)上の点Aの座標(a、  f(a))を座
標格納メモリ(1)に、領域ψ上で既知関数上の点Bの
座標(b、f (b))を座標格納メモリ(2)に格納
する。
At the same time, the coordinates (a , f(a)) are stored in the coordinate storage memory (1), and the coordinates (b, f(b)) of point B on the known function on the area ψ are stored in the coordinate storage memory (2).

中点座標算出回路(3)が、座標格納メモリ(1)、(
2)より点Aおよび点Bの座標を読込み、その両点の座
標のX成分の中点(a+b)/2より、既知関数上の中
点座標((a+b)/2゜f ((a+b)/2))を
算出し、点Aと中点Mの座標を交点判別回路(4)に出
力する。交点判別回路(4)では、点Aと中点Mのノル
ム、II (a、f’(a))−((a+b)/2.f
’((a+b)/2)) Ifを算出し、画像上の特徴
点として問われる精度の誤差の最大値δが、 If (a、f’(a))−((a+b)/2.f((
a+b)/2)) If≦δとなる場合、中点Mの座標
((a+b)/2.f((a+b)/2))を交点座標
として出力し、II (a、r(a))−((a+b)
/2.f’((a+b)/2))  II >6となる
場合、中点Mの座標を濃度データ読取り回路(5)に出
力する。
The midpoint coordinate calculation circuit (3) stores the coordinate storage memory (1), (
2) Read the coordinates of point A and point B, and from the midpoint (a+b)/2 of the X component of the coordinates of both points, the midpoint coordinate on the known function ((a+b)/2°f ((a+b) /2)) and outputs the coordinates of point A and midpoint M to the intersection determination circuit (4). In the intersection discrimination circuit (4), the norm of point A and midpoint M, II (a, f'(a)) - ((a+b)/2.f
'((a+b)/2)) If is calculated, and the maximum value δ of the accuracy error asked as a feature point on the image is If (a, f'(a)) - ((a+b)/2.f ((
a+b)/2)) If ≦δ, output the coordinates of the midpoint M ((a+b)/2.f((a+b)/2)) as the intersection coordinates, and II (a, r(a)) −((a+b)
/2. If f'((a+b)/2)) II >6, the coordinates of the midpoint M are output to the concentration data reading circuit (5).

濃度データ読取り回路(5)では、入力された座標上の
濃度データG (M)を画像メモリ(9)上より読取り
、濃度データ比較回路(6)に出力する。中点Mの濃度
データを入力された濃度データ比較回路(6)は、入力
された濃度データG(M)が、 ρ0≦G (M)≦ρ1 となる場合、座標格納メモリ(1)の点Aの座標を中点
Mの座標に書換え、 G (M) <ρ0゜ または、 ρ1<G (M) となる場合、座標格納メモリ(2)の点Bの座標を中点
Mの座標に書換えする。
The density data reading circuit (5) reads the density data G (M) on the input coordinates from the image memory (9) and outputs it to the density data comparison circuit (6). The concentration data comparison circuit (6) which receives the concentration data of the midpoint M compares the point in the coordinate storage memory (1) when the input concentration data G(M) satisfies ρ0≦G(M)≦ρ1. Rewrite the coordinates of A to the coordinates of the midpoint M, and if G (M) < ρ0゜ or ρ1 < G (M), rewrite the coordinates of point B in the coordinate storage memory (2) to the coordinates of the midpoint M. do.

このように変更された座標格納メモリ(1)。Coordinate storage memory (1) changed in this way.

(2)の座標を新たな点A1点Bとし、繰返し中点座標
算出回路(3)乃至濃度データ比較回路(6)が作動す
ることによって、比較出力回路が交点座標を算出する。
The coordinates of (2) are set as new points A1 and B, and by repeatedly operating the midpoint coordinate calculation circuit (3) to the concentration data comparison circuit (6), the comparison output circuit calculates the intersection point coordinates.

また本発明の他の実施例を第3図、第4図によって示す
Further, other embodiments of the present invention are shown in FIGS. 3 and 4.

VTR(7)I Ill 0度調整において、磁気ヘッ
ドのギャップと磁気ヘッド本体との交点位置を求めるこ
とにより、正しい位置とのずれを求めることが出来る。
VTR (7) I Ill In the 0 degree adjustment, the deviation from the correct position can be determined by determining the intersection position between the gap of the magnetic head and the main body of the magnetic head.

このとき、磁気ヘッドのギャップの角度を既知関数y=
f(x)としてとらえ、磁気ヘッド本体の濃度領域をρ
 以上ρ1とする。磁気ヘッド上の既知関数上の点Aの
座標(a、f (a))と磁気ヘッド本体以外の画面上
で既知関数上の点Bの座標(b、f (b))を設定し
て、座標記憶メモリ(1)、(2)に記憶させる。上記
座標格納メモリ (1)、(2)に格納された2点の座
標のより中点Mを2点のX成分の中点(a+b)/2を
X成分に持つ既知関数上の座標((a+b)/2゜f(
a+b)/2))を、中点座標算出回路(3)により算
出し、算出された中点座標を交点判別回路(4)に出力
する。中点Mの座標を入力された交点判別回路(4)は
、中点Mと点Aの座標より、(a−(a+b)/2)2
+(f’(a)−f((a+b)/2))2を計算し、
その値が画面上に問われる精度の誤差としての画素数δ
より小さい場合、中点Mの座標を交点として出力し、誤
差δより小さい場合は中点Mの座標を濃度データ読取り
回路(5)に出力する。
At this time, the angle of the gap of the magnetic head is determined by a known function y=
f(x), and the concentration region of the magnetic head body is ρ
The above is assumed to be ρ1. Set the coordinates of point A on the known function on the magnetic head (a, f (a)) and the coordinates of point B on the known function on the screen other than the magnetic head body (b, f (b)), The coordinates are stored in the coordinate storage memories (1) and (2). The coordinates on a known function whose X component is the midpoint M of the coordinates of the two points stored in the coordinate storage memories (1) and (2) and the midpoint (a+b)/2 of the X component of the two points (( a+b)/2゜f(
a+b)/2)) is calculated by the midpoint coordinate calculation circuit (3), and the calculated midpoint coordinates are output to the intersection determination circuit (4). The intersection determination circuit (4) to which the coordinates of the midpoint M are input, calculates (a-(a+b)/2)2 from the coordinates of the midpoint M and point A.
+(f'(a)-f((a+b)/2))2,
The number of pixels δ whose value is the accuracy error on the screen
If the error is smaller, the coordinates of the midpoint M are output as the intersection, and if the error is smaller than the error δ, the coordinates of the midpoint M are output to the density data reading circuit (5).

中点Mの座標を得た濃度データ読取り回路(5)は、上
記の画像メモリ(9)より中点Mの座標の濃度G (M
)を読取り、濃度データ比較回路(6)に出力する。中
点Mの濃度データG (M)を入力された濃 度データ比較回路(6)は、濃度データG (M)が、 ρosG (M)≦ρ1 のとき、点Aの座標を点Mの座標に変更し、G (M)
 <ρ0 または、 ρ1<G (M) のとき、点Bの座標を点Mの座標に変更する。
The density data reading circuit (5) that has obtained the coordinates of the midpoint M reads the density G (M
) is read and output to the density data comparison circuit (6). The concentration data comparison circuit (6) that receives the concentration data G (M) of the midpoint M converts the coordinates of point A into the coordinates of point M when the concentration data G (M) satisfies ρosG (M)≦ρ1. Change, G (M)
<ρ0 or when ρ1<G (M), the coordinates of point B are changed to the coordinates of point M.

このように変更された座標格納メモリ(1)。Coordinate storage memory (1) changed in this way.

(2)の座標を新たな点A1点Bとし、繰返し中点座標
算出回路(3)乃至濃度データ比較回路(6)が作動す
ることによりて、交点判別回路(4)が交点座標を算出
する。
The coordinates of (2) are set as new points A1 and B, and by repeatedly operating the midpoint coordinate calculation circuit (3) to the concentration data comparison circuit (6), the intersection determination circuit (4) calculates the intersection coordinates. .

なお、交点判別回路(4)において、点Aと中点Mのノ
ルムを用いず、画像上の特徴点として問われる精度の誤
差δと点Aと点Bの成分から、交点を算出するまでに繰
返す回数を算出することによって、その回数を終了した
ときの中点の座標を交点座標として出力するようにして
もよい。
In addition, in the intersection determination circuit (4), the norm of point A and midpoint M is not used, and the intersection point is calculated from the accuracy error δ, which is asked as a feature point on the image, and the components of point A and point B. By calculating the number of repetitions, the coordinates of the midpoint at the end of the number of repetitions may be output as the intersection coordinates.

また、上記実施例では中点座標を算出するにおいて、χ
成分を用いているが、y成分から算出してもよい。
In addition, in the above embodiment, in calculating the midpoint coordinates, χ
Although the component is used, it may be calculated from the y component.

さらに、上記実施例では、既知関数に1次関数を用いて
いるが2次以上の関数であっても中点算出の計算方法を
変えるだけで本発明を同様に実施できる。
Further, in the above embodiment, a linear function is used as the known function, but even if the known function is a quadratic or higher order function, the present invention can be implemented in the same way by simply changing the calculation method for calculating the midpoint.

[発明の効果コ 以上に述べたところから明らかになったように、本発明
によれば、画像上のどこに領域境界が存在しても、交点
を算出する時間はほぼ一定であり、従来の技術により交
点を算出する方法より高速で交点を算出しやすい、画像
上の領域境界と既知関数との交点算出方法と装置が得ら
れる。
[Effects of the Invention] As has become clear from the above description, according to the present invention, no matter where on the image the area boundary exists, the time to calculate the intersection point is almost constant, which is faster than the conventional technology. Thus, a method and apparatus for calculating an intersection between a region boundary on an image and a known function, which is faster and easier to calculate an intersection than a method of calculating an intersection, can be obtained.

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

第1図は本発明の一実施例のブロック図、第2図は本発
明の撮像された画像の状態図、第3図は実施例に於ける
磁気ヘッドの正面拡大図、第4図は他の実施例の画像と
既知関数の合成した状態図、第5図は従来技術の交点算
出方法による状態図、第6図は本発明による交点算出方
法における状態図。 1 ・・・座標格納メモリ 2 ・・・座標格納メモリ
3 ・・・中点座標算出回路 4 ・・・交点判別回路
5 ・・・濃度データ読取り回路 6 ・・・濃度デー
タ比較回路 7 ・・・ ITVカメラ 8 ・・・A
/D変換器 9 ・・・画像メモリ 21 ・・・磁気
ヘッド本体22 ・・・ギャップ 51 ・・・関数y
−f(x)52・・・領域境界
Fig. 1 is a block diagram of an embodiment of the present invention, Fig. 2 is a state diagram of a captured image of the invention, Fig. 3 is an enlarged front view of a magnetic head in the embodiment, and Fig. 4 is another FIG. 5 is a state diagram obtained by combining an image of the embodiment with a known function, FIG. 5 is a state diagram according to a conventional intersection point calculation method, and FIG. 6 is a state diagram according to an intersection point calculation method according to the present invention. 1... Coordinate storage memory 2... Coordinate storage memory 3... Midpoint coordinate calculation circuit 4... Intersection discrimination circuit 5... Concentration data reading circuit 6... Concentration data comparison circuit 7... ITV camera 8...A
/D converter 9...Image memory 21...Magnetic head body 22...Gap 51...Function y
-f(x)52...area boundary

Claims (6)

【特許請求の範囲】[Claims] (1)画像内の異なる濃度の領域を分ける領域境界と、
この領域境界に1回だけ交差する任意の既知関数との交
点を算出する方法において、撮像装置により撮像された
画像をディジタル化した画像信号を領域境界によって分
割された濃度領域ごとに記憶する撮像工程と、領域境界
を挟む既知関数上の2点を設定する座標設定工程と、上
記座標設定工程により得られた2点の座標から2点間を
分割する既知関数上の点の座標を算出する分割点座標算
出工程と、上記分割点座標算出工程により得られた分割
点を、予め定められた精度で算出する交点判別工程とか
らなることを特徴とする画像上の領域境界と既知関数と
の交点算出方法。
(1) A region boundary that separates regions of different densities in an image,
In this method of calculating the intersection point with an arbitrary known function that intersects a region boundary only once, an imaging step of storing an image signal obtained by digitizing an image captured by an imaging device for each density region divided by the region boundary. , a coordinate setting step of setting two points on the known function that sandwich the area boundary, and a dividing step of calculating the coordinates of the point on the known function that divides the two points from the coordinates of the two points obtained in the coordinate setting step. An intersection point between a region boundary on an image and a known function, comprising a point coordinate calculation step and an intersection determination step of calculating the division points obtained by the division point coordinate calculation step with predetermined accuracy. Calculation method.
(2)上記交点判別工程において、設定点の座標と分割
点の座標のノルムを判別条件とする特許請求の範囲第1
項記載の画像上の領域境界と既知関数との交点算出方法
(2) In the above-mentioned intersection determination step, the norm of the coordinates of the set point and the coordinates of the dividing point is used as a determination condition.
Method for calculating the intersection between a region boundary on an image and a known function as described in Section 2.
(3)上記交点判別工程において、分割点算出回数を判
別条件とする特許請求の範囲第1項記載の画像上の領域
境界と既知関数との交点算出方法。
(3) A method for calculating an intersection between a region boundary on an image and a known function according to claim 1, wherein in the intersection determining step, the number of division point calculations is used as a determination condition.
(4)画像内の異なる濃度の領域を分ける領域境界と、
この領域境界に1回だけ交差する任意の既知関数との交
点を算出する装置において、撮像装置により撮像された
画像をディジタル化した画像信号を領域境界によって分
割された濃度領域ごとに記憶する撮像手段と、領域境界
を挟む既知関数上の2点を設定する座標設定手段と、上
記座標設定手段により得られた2点の座標から2点間を
分割する既知関数上の分割点の座標を算出する分割点座
標算出手段と、上記分割点座標算出手段により得られた
分割点を、予め定められた精度で算出する交点判別手段
とからなることを特徴とする画像上の領域境界と既知関
数との交点算出装置。
(4) a region boundary that separates regions of different densities in the image;
In a device that calculates an intersection point with an arbitrary known function that intersects this region boundary only once, an imaging means stores an image signal obtained by digitizing an image captured by an imaging device for each density region divided by the region boundary. and coordinate setting means for setting two points on a known function that sandwich the area boundary, and calculating the coordinates of a dividing point on the known function that divides the two points from the coordinates of the two points obtained by the coordinate setting means. A method for connecting a region boundary on an image and a known function, comprising a dividing point coordinate calculating means and an intersection determining means for calculating the dividing point obtained by the dividing point coordinate calculating means with predetermined accuracy. Intersection calculation device.
(5)上記交点判別手段において、設定点の座標と分割
点の座標のノルムを判別条件として判別する判別部を有
する特許請求の範囲第4項記載の画像上の領域境界と既
知関数との交点算出装置。
(5) The intersection determining means includes a determining unit that determines the norm of the coordinates of the set point and the coordinates of the dividing point as a determining condition, and the intersection between the area boundary on the image and the known function as set forth in claim 4. Calculation device.
(6)上記交点判別手段において、分割点算出回数を判
別条件として判別する判別部を有する特許請求の範囲第
4項記載の画像上の領域境界と既知関数との交点算出装
置。
(6) An apparatus for calculating an intersection between a region boundary on an image and a known function as set forth in claim 4, wherein the intersection determining means includes a determining section that determines the number of division point calculations as a determining condition.
JP61293428A 1986-12-11 1986-12-11 Method and device for calculating intersecting point between area boundary on picture and known function Pending JPS63147278A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP61293428A JPS63147278A (en) 1986-12-11 1986-12-11 Method and device for calculating intersecting point between area boundary on picture and known function

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP61293428A JPS63147278A (en) 1986-12-11 1986-12-11 Method and device for calculating intersecting point between area boundary on picture and known function

Publications (1)

Publication Number Publication Date
JPS63147278A true JPS63147278A (en) 1988-06-20

Family

ID=17794630

Family Applications (1)

Application Number Title Priority Date Filing Date
JP61293428A Pending JPS63147278A (en) 1986-12-11 1986-12-11 Method and device for calculating intersecting point between area boundary on picture and known function

Country Status (1)

Country Link
JP (1) JPS63147278A (en)

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