JPS62237584A - Scissoring processing system - Google Patents
Scissoring processing systemInfo
- Publication number
- JPS62237584A JPS62237584A JP8138186A JP8138186A JPS62237584A JP S62237584 A JPS62237584 A JP S62237584A JP 8138186 A JP8138186 A JP 8138186A JP 8138186 A JP8138186 A JP 8138186A JP S62237584 A JPS62237584 A JP S62237584A
- Authority
- JP
- Japan
- Prior art keywords
- points
- frame
- point
- outside
- processing
- 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
- 238000003672 processing method Methods 0.000 claims description 5
- 238000000034 method Methods 0.000 abstract description 17
- 238000004364 calculation method Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000007796 conventional method Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
Landscapes
- Image Generation (AREA)
Abstract
Description
【発明の詳細な説明】
〔概 要〕
2次曲線図形を所定の枠内に含まれる部分のみ表示する
ためのシザリングの処理方式。表示対象の表示線と枠線
との交点をすべて求め、隣接交点間の表示線上に複数の
点をとり、それらの点が枠内か識別する。枠内と識別す
る点が過半数であることにより、表示線のその部分を表
示部分とし、そうでない場合は切り捨て部分とする。こ
の方式により、処理が単純化され高速化される。[Detailed Description of the Invention] [Summary] A scissoring processing method for displaying only the portion of a quadratic curve figure included within a predetermined frame. Find all the intersections between the display line of the display target and the frame line, take a plurality of points on the display line between adjacent intersections, and identify whether those points are within the frame. If a majority of the points are identified as being within the frame, that part of the display line is set as the display part; otherwise, it is set as the truncated part. This method simplifies and speeds up processing.
本発明は、計算機システムの図形処理において、2次曲
線図形の所定枠内部分を表示するための、シザリングの
処理方式に関する。The present invention relates to a scissoring processing method for displaying a portion within a predetermined frame of a quadratic curve figure in graphic processing of a computer system.
図形をディスプレイ装置等に表示する場合に、大きな図
形の一部を表示し、或いは表示面を複数の枠領域に分割
して、それぞれに異なる図形の一部を表示する等の表示
方法が必要になる。When displaying a figure on a display device, etc., it is necessary to display a part of a large figure, or to divide the display surface into multiple frame areas and display a different part of the figure in each frame area. Become.
この場合に、原図形から所定の枠で限定される部分を切
り出す処理はシザリングと呼ばれ、シザリング処理は図
形の表示処理の中でしばしば使用される。In this case, the process of cutting out a portion limited by a predetermined frame from the original figure is called scissoring, and the scissoring process is often used in figure display processing.
第2図は表示面の一例を示す図である。又、第3図はシ
ザリング処理の一例を示す処理の流れ図である。FIG. 2 is a diagram showing an example of a display surface. Further, FIG. 3 is a process flowchart showing an example of scissoring process.
第2図において、表示面中に指定された枠1に入るよう
に、表示線2のシザリング処理を行う場合には、表示線
2を表す2次曲線の方程式と枠1の各辺を表す直線の各
方程式から、計算によって両方程弐を満足する点を求め
(第3図の処理ステップ20)、それらの点のうち枠1
の辺上にある点を、交点3.4として、その座標値を得
る(処理ステップ22)。In Figure 2, when scissoring display line 2 so that it fits into designated frame 1 on the display screen, the equation of the quadratic curve representing display line 2 and the straight line representing each side of frame 1 are used. From each equation, calculate the points that satisfy both conditions (processing step 20 in Figure 3),
A point on the side is set as the intersection point 3.4, and its coordinate values are obtained (processing step 22).
又、表示線の両端の座標は始点5及び終点6として別に
措定される。Further, the coordinates of both ends of the display line are separately determined as a starting point 5 and an ending point 6.
表示線2の表示部分を決定するために、例えば交点3.
4、始点5、終点6をそれらの座標の座標値の大きさに
よって並べ(処理ステップ23)、先ず始点5が枠の内
か外かを識別するく処理ステップ24)。In order to determine the display portion of the display line 2, for example, the intersection point 3.
4. The starting point 5 and the ending point 6 are arranged according to the size of their coordinate values (processing step 23), and first, it is determined whether the starting point 5 is inside or outside the frame (processing step 24).
これは、例えば枠1の4隅の頂点の座標値と、始点5の
座標値との大小を比較することによって容易に判定する
ことができる。This can be easily determined, for example, by comparing the coordinate values of the four corner vertices of the frame 1 with the coordinate values of the starting point 5.
図の例により、始点5が枠外であることが識別されると
、処理ステップ25において、始点5の次に並ぶ交点3
までの部分は切り捨てる部分とし、処理ステップ26を
経て処理ステップ27へ進む。According to the example shown in the figure, when it is identified that the starting point 5 is outside the frame, in processing step 25, the intersection point 3 next to the starting point 5 is
The part up to this point is discarded, and the process proceeds to process step 27 via process step 26.
処理ステップ27で、交点3から曲線2は枠内に入り、
次に並ぶ交点4で枠外に出ると判定し、この部分を表示
部分とする。In processing step 27, curve 2 enters the frame from intersection point 3,
It is determined that the image goes outside the frame at the next intersection point 4, and this area is set as the display area.
同様に、交点4の次に並ぶ別の交点があれば、処理ステ
ップ28から処理ステップ25に戻り、交点4から次の
交点までを切り捨て部分とする。Similarly, if there is another intersection next to intersection 4, the process returns from processing step 28 to processing step 25, and the area from intersection 4 to the next intersection is cut off.
このようにして、処理ステップ25と27を交互に進め
て、最後に処理ステップ26又は28で終点6まで処理
したことを判定して、1曲線の枠内部分、即ち表示部分
、を識別することができる。In this way, processing steps 25 and 27 are carried out alternately, and finally, in processing step 26 or 28, it is determined that processing has been completed up to the end point 6, and the part within the frame of one curve, that is, the display part is identified. I can do it.
図の例においては、交点4の次には別の交点が無く終点
6になるので、曲線2は交点4で枠外に出て終了すると
判定し、交点3から交点4に至る部分のみが表示部分と
決定される。In the example shown in the figure, there is no other intersection after intersection 4 and the end point is 6, so it is determined that curve 2 ends outside the frame at intersection 4, and only the part from intersection 3 to intersection 4 is displayed. It is determined that
以上に例示した論理によって、曲線上の表示部分を決定
することができるが、特例として例えば第2図の表示″
MA 7の場合のように、表示線が枠1に接する2次曲
線の場合には、交点は接点8の1個となり、上記の論理
で判定すると、接点8を境界としζ、曲線7が枠1の内
外にまたがっていると判定し、半部が枠内にあるとして
しまう。The display part on the curve can be determined by the logic illustrated above, but as a special case, for example, the display "
As in the case of MA 7, if the display line is a quadratic curve that touches frame 1, the intersection point is one point of contact 8, and judging by the above logic, the point of contact 8 is the boundary, ζ, and curve 7 is the frame. It is determined that it straddles the inside and outside of 1, and half of it is considered to be within the frame.
これを防ぐために、交点を求める計算の過程で解が乗根
であることを識別し、その場合には例えば交点が無いも
のとして(処理ステップ21)、前記の論理による識別
に矛盾を生じないようにしなければならない。In order to prevent this, in the process of calculating the intersection point, it is identified that the solution is a root, and in that case, for example, it is assumed that there is no intersection point (processing step 21), so as not to cause a contradiction in the identification based on the above logic. must be done.
計算機による交点の求解には、公知のように一般に誤差
が生じるので、上記の場合に誤差の結果必ずしも乗根と
して検出されず、全く実根が無いか、又は2根がある(
即ら、交点が無いか又は2個ある)という結果になる場
合があるが、その場合には、前記の論理による識別によ
って、表示制御上は実用的に支障のない結果を得ること
ができる。As is well known, errors generally occur when solving intersection points by a computer, so in the above case, as a result of the error, it is not necessarily detected as a square root, and there may be no real root at all, or there may be a double root (
In other words, there may be cases where the result is that there are no intersections or there are two intersections, but in that case, the discrimination based on the logic described above can provide a result that does not pose any practical problem in terms of display control.
別の特別な場合として、表示線9として示すように、表
示線が枠1の1隅の頂点lOのみを通っている場合に、
誤差が無いと仮定した場合には、頂点10が枠1の辺1
1と辺12の両交点とならなければならず、即ち合計2
個の交点が得られる。As another special case, when the display line passes through only one corner vertex lO of the frame 1, as shown as the display line 9,
Assuming there is no error, vertex 10 is side 1 of frame 1
It must be the intersection of both sides 1 and 12, i.e. a total of 2
intersection points are obtained.
しかし実際には誤差があるために、一般には異なる2点
が解として得られ、且つその点が辺11又は12の上で
なく、それらの延長上の枠外の点となる場合がある。そ
の結果、表示線9と枠1との交点として得られる個数は
0個、1個又は2個となる場合が生じる。However, in reality, due to errors, two different points are generally obtained as a solution, and the point may not be on sides 11 or 12, but may be a point outside the frame on the extension thereof. As a result, the number of intersections between the display line 9 and the frame 1 may be 0, 1, or 2.
こ\で、交点がO及び2個になった場合には、前記接点
の場合と同様に、実用的に支障の無い結果を得ることが
できる。しかし、交点が1個の場合には、明らかに表示
線9の半部が枠内にあると誤判定することになる。In this case, when the number of intersections is O and two, it is possible to obtain a result with no practical problems, as in the case of the contacts described above. However, if there is only one intersection, it will obviously be erroneously determined that half of the display line 9 is within the frame.
これを避けるために、例えば方程式の解として得られる
点が枠との交点であるかを判定する(処理ステップ22
)場合における、枠の線上とみなすための交点判定条件
の範囲を広げて、誤差によるずれをカバーする方法が採
られる。To avoid this, for example, it is determined whether the point obtained as a solution to the equation is an intersection with the frame (processing step 22
), a method is adopted to cover deviations due to errors by widening the range of the intersection judgment conditions for determining that the point is on the line of the frame.
前記従来のシザリング処理方式によれば、基本的処理は
比較的単純であるが、前記2例のような特別の場合を考
慮して、皇祖の判定/除去処理を常に必要とし、又、計
算誤差を考慮して、交点判定条件を適切に緩和して設定
する必要がある。According to the conventional scissoring processing method, the basic processing is relatively simple, but in consideration of special cases such as the two cases mentioned above, it is always necessary to perform imperial ancestor determination/removal processing, and calculation errors may occur. It is necessary to appropriately relax and set the intersection determination conditions in consideration of the above.
特に、交点判定条件が適切でないと、誤った部分を表示
する等の結果を生じるが、表示曲線の形状によって、曲
線の方程式の係数が比較的広範囲に変化し得る等のため
に、誤差範囲を適切に定めることがしばしば困難であり
、常に扱う図形を考慮して、判定条件を設定しなければ
ならない等の問題がある。In particular, if the intersection point judgment conditions are not appropriate, results such as displaying incorrect parts may occur. However, depending on the shape of the displayed curve, the coefficients of the curve equation may vary over a relatively wide range, so the error range is It is often difficult to determine the conditions appropriately, and there are problems such as the need to set judgment conditions in consideration of the figures being handled.
第1図は、本発明の構成を示す処理の流れ図である。 FIG. 1 is a process flowchart showing the configuration of the present invention.
図において、30〜32は交点を求める処理ステップ、
33〜38は各2交点間ごとに表示部分か切り捨て部分
かを決定する処理ステップである。In the figure, 30 to 32 are processing steps for finding intersection points;
33 to 38 are processing steps for determining whether a display portion or a truncated portion is to be displayed between each two intersection points.
処理ステップ30〜32により、交点を求めて、終点及
び始点とともに並べる。Through processing steps 30 to 32, intersection points are determined and arranged along with the end point and start point.
処理ステップ33からの処理は、始点から始めて隣接し
て並ぶ2交点(又は始点、終点)ごとの処理とし、処理
ステップ33で2交点間を適当に分割するように、表示
線上に判定点を設ける。The processing from processing step 33 is performed for each two adjacent intersection points (or starting point, end point) starting from the starting point, and in processing step 33, a determination point is provided on the display line so as to appropriately divide the two intersection points. .
処理ステップ34で、すべての判定点について、枠内か
枠外かを識別し、その結果に応じて枠内点数又は枠外点
数を計上する。In processing step 34, it is determined whether all determination points are within the frame or outside the frame, and the number of points within the frame or the number of points outside the frame is counted according to the result.
処理ステップ35で、前ステップの結果の枠内点数と枠
外点数を比較し、枠内点数が枠外点数より多い場合に処
理ステップ36へ進み、現に処理した2交点区間の曲線
を表示部分と決定する。In processing step 35, the number of points inside the frame and the number of points outside the frame as a result of the previous step are compared, and if the number of points inside the frame is greater than the number of points outside the frame, the process proceeds to step 36, and the curve of the currently processed two-intersection section is determined as the display part. .
枠内点数が枠外点数より少ない場合には、処理ステップ
37で現処理区間の部分を切り捨て部分と決定する。If the number of points within the frame is less than the number of points outside the frame, in processing step 37, the portion of the current processing section is determined to be the portion to be discarded.
処理ステップ38により終点まで処理したことを識別す
るまで、以上の処理ステップ33からの処理を順次次の
交点との区間について実行する。Until it is determined in processing step 38 that the process has reached the end point, the processing from processing step 33 is sequentially executed for the section with the next intersection point.
以上の処理方式により、方程式の求解において特に皇祖
を検出する必要はなく、又誤差範囲を考慮した交点判定
条件が、表示部分の識別に直接影響しないようになり、
表示部分の選択を常に正しく行うことができる。With the above processing method, there is no need to specifically detect the imperial ancestor when solving the equation, and the intersection judgment condition that takes the error range into consideration does not directly affect the identification of the display part.
The display portion can always be selected correctly.
以下において、再び第2図の例を参照して説明する。 In the following, the explanation will be given again with reference to the example shown in FIG.
第1図の処理ステップ30では、従来と同様にして、表
示線2を表す2次曲線の方程式と枠1の各辺を表す直線
の各方程式から、計算によって両方程式を満足する点を
求める。但しこ−で特に皇祖であることを検出する必要
は無い。In processing step 30 in FIG. 1, points that satisfy both equations are determined by calculation from the equation of the quadratic curve representing the display line 2 and the equations of the straight lines representing each side of the frame 1, as in the conventional method. However, there is no need to specifically detect that the person is a royal ancestor.
次の処理ステップ31で、求めた点が枠1上の点か判定
し、交点3.4等を決定する。この判定は従来の処理ス
テップ22と同様に実行されるが、後述する理由から、
本発明においては枠の頂点を通る曲線の交点の誤判定を
考慮して、特に交点判定条件を緩和する等の必要はない
。In the next processing step 31, it is determined whether the obtained point is on frame 1, and intersection points 3, 4, etc. are determined. This determination is performed in the same manner as the conventional processing step 22, but for the reasons described below,
In the present invention, there is no need to particularly relax the intersection point determination conditions in consideration of erroneous determination of intersection points of curves passing through the vertices of the frame.
処理ステップ32では、決定した交点を従来と同様に、
始点5、終点6を含めて、座標値の順に並べる。In processing step 32, the determined intersection point is determined as before,
Arrange the starting point 5 and ending point 6 in the order of their coordinate values.
処理ステップ33で、先ず始点5から始めて、次の交点
3との区間の表示線2上に、複数の判定点を設定する。In processing step 33, a plurality of determination points are first set on the display line 2 in the section starting from the starting point 5 and with the next intersection point 3.
この設定は、例えば区間のX又はy座標について等分す
る等の方法によって、判定点が区間内に平等に分散され
るように設定するのが望ましく、又、判定点の個数は例
えば7個程度とし、判定の便のために奇数とするのがよ
い。It is desirable to set this so that the judgment points are evenly distributed within the section, for example by dividing the section into equal parts on the X or y coordinates, and the number of judgment points is, for example, about 7. It is better to set it to an odd number for ease of judgment.
処理ステップ34で、すべての判定点について、各判定
点が枠内か枠外かを識別し、判定点が枠内であれば枠内
点数、枠外であれば枠外点数を計上する。In processing step 34, it is determined whether each judgment point is inside or outside the frame, and if the judgment point is inside the frame, the number of points inside the frame is counted, and if it is outside the frame, the number of points outside the frame is counted.
処理ステップ35で、前ステップの結果の枠内点数と枠
外点数を比較し、枠内点数が枠外点数より多い場合、即
ちこの区間には枠内と判定される判定点が、枠外の判定
点より多かった場合には、処理ステップ36へ進み、現
に処理した2交点区間の曲線を表示部分と決定する。In processing step 35, the number of points inside the frame and the number of points outside the frame as a result of the previous step are compared, and if the number of points inside the frame is greater than the number of points outside the frame, that is, the number of judgment points determined to be within the frame in this section is greater than the number of judgment points outside the frame. If there are many, the process proceeds to step 36, and the curve of the currently processed two-intersection section is determined as the display portion.
枠内点数が枠外点数より少ない場合には、処理ステップ
37で現処理区間の部分を切り捨て部分と決定する。If the number of points within the frame is less than the number of points outside the frame, in processing step 37, the portion of the current processing section is determined to be the portion to be discarded.
処理ステップ38で、終点まで処理したことを識別する
まで、以上の処理ステップ33からの処理を順次次の交
点との区間について実行する。In processing step 38, the processing from processing step 33 is sequentially executed for the section with the next intersection point until it is determined that the end point has been processed.
以上の処理において、枠と表示線の配置が第2図の表示
線2のような通常の多くの場合には、各区間において、
枠内点数又は枠外点数の一方のみ計上され、他方がOと
なり、正しい識別が行われる。In the above processing, in many cases where the arrangement of frames and display lines is normal, such as display line 2 in Fig. 2, in each section,
Only one of the points within the frame or the number of points outside the frame is counted, and the other is O, and correct identification is performed.
表示″IrfA7のような場合において、交点が1個の
場合(接点8とする)には、表示線7の始点40から接
点8までの区間と接点8から終点41までの区間の2区
間ができるが、処理ステップ33〜37の処理で、両区
間とも枠外の判定点が多いので、両部分共に切り捨て部
分として決定され、誤判定は起こらない。In a case like the display "IrfA7", if there is one intersection (point of contact 8), two sections are created: the section from the start point 40 of the display line 7 to the contact point 8, and the section from the contact point 8 to the end point 41. However, in the processing of steps 33 to 37, since there are many determination points outside the frame in both sections, both sections are determined to be truncated sections, and no erroneous determination occurs.
表示線9の例の場合に、交点が1個になった場合にも、
頂点10の近傍の交点を境界とする2区間の処理が行わ
れ、何れの区間も枠外判定点の個数が圧倒的に多く計上
される結果、両部分とも切り捨て部分となる。In the case of the example of display line 9, even if there is only one intersection,
Processing is performed for two sections with the intersection near the vertex 10 as the boundary, and as a result of the overwhelmingly large number of out-of-frame determination points being counted in each section, both sections become truncated sections.
即ち、特例の場合を考慮する必要のない、−律の処理に
よって、表示部分と切り捨て部分の識別を、常に誤り無
く行うことができる。In other words, the display portion and the truncated portion can always be identified without error by the regular processing that does not require consideration of special cases.
以上の説明から明らかなように、本発明によれば、計算
機システムの図形処理における、シザリング処理が、簡
明な判定論理によって実行され、誤識別を生じることが
ないので、図形処理の効率を改善するという著しい工業
的効果がある。As is clear from the above description, according to the present invention, the scissoring process in the graphic processing of a computer system is executed using a simple judgment logic, and erroneous identification does not occur, thereby improving the efficiency of the graphic processing. This has a significant industrial effect.
第1図は本発明の構成を示す処理の流れ図、第2図は図
形表示面の一例の説明図、
第3図は従来の処理の流れ図
である。
図において、
1は枠、 2.7.9は表示線、3.4は
交点、 5.4oは始点、6.41は終点、
8は接点、
10は頂点、 11.12は辺、20〜28
.30〜3日は処理ステップを示す。
第1図FIG. 1 is a flowchart of processing showing the configuration of the present invention, FIG. 2 is an explanatory diagram of an example of a graphic display screen, and FIG. 3 is a flowchart of conventional processing. In the figure, 1 is the frame, 2.7.9 is the display line, 3.4 is the intersection, 5.4o is the starting point, 6.41 is the ending point,
8 is the contact point, 10 is the vertex, 11.12 is the edge, 20 to 28
.. Days 30-3 represent processing steps. Figure 1
Claims (1)
曲線図形を表示するに際し、 該枠線と該図形の表示線との、すべての交点を算出する
手段(30、31、32)、及び、該算出した交点うち
の、隣接する2交点ごとに、該表示線上の該2交点に挟
まれる部分から選定する複数個の点について、該各点が
前記枠内か枠外か識別する手段(33)を有し、 該点の過半数が該枠内にあると識別された場合に、該表
示線の部分を表示を要する部分として決定する(34、
35、36)ように構成されていることを特徴とするシ
ザリング処理方式。[Scope of Claims] When displaying a quadratic curve figure that is cut out only within a frame surrounded by a predetermined frame line, means for calculating all the intersection points between the frame line and the display line of the figure ( 30, 31, 32), and for each two adjacent intersection points among the calculated intersection points, each point is selected from the part sandwiched between the two intersection points on the display line, and each point is within the frame. means (33) for identifying whether the points are within the frame or outside the frame; and when a majority of the points are identified as being within the frame, the part of the display line is determined as the part that requires display (34,
35, 36) A scissoring processing method characterized by being configured as follows.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP8138186A JPS62237584A (en) | 1986-04-09 | 1986-04-09 | Scissoring processing system |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP8138186A JPS62237584A (en) | 1986-04-09 | 1986-04-09 | Scissoring processing system |
Publications (2)
Publication Number | Publication Date |
---|---|
JPS62237584A true JPS62237584A (en) | 1987-10-17 |
JPH0419594B2 JPH0419594B2 (en) | 1992-03-30 |
Family
ID=13744718
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
JP8138186A Granted JPS62237584A (en) | 1986-04-09 | 1986-04-09 | Scissoring processing system |
Country Status (1)
Country | Link |
---|---|
JP (1) | JPS62237584A (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5841215A (en) * | 1994-09-14 | 1998-11-24 | Canon Kabushiki Kaisha | Control apparatus for vibration wave motor |
JP2006195902A (en) * | 2005-01-17 | 2006-07-27 | Namco Bandai Games Inc | Program, information storage medium, and image generation system |
-
1986
- 1986-04-09 JP JP8138186A patent/JPS62237584A/en active Granted
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5841215A (en) * | 1994-09-14 | 1998-11-24 | Canon Kabushiki Kaisha | Control apparatus for vibration wave motor |
JP2006195902A (en) * | 2005-01-17 | 2006-07-27 | Namco Bandai Games Inc | Program, information storage medium, and image generation system |
JP4632796B2 (en) * | 2005-01-17 | 2011-02-16 | 株式会社バンダイナムコゲームス | Program, information storage medium, and image generation system |
Also Published As
Publication number | Publication date |
---|---|
JPH0419594B2 (en) | 1992-03-30 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
US4958305A (en) | Polygon edge clipping | |
JPH07109629B2 (en) | Polygon identification method, polygon identification system | |
JPS62237584A (en) | Scissoring processing system | |
US5014331A (en) | Method of detecting an internal point within a closed area | |
JP2747002B2 (en) | Separation method of straight line part and curved part of shape represented by straight line short vector sequence | |
RU2117331C1 (en) | Method for clipping graphic images in system for graphic data processing and device for processing of graphic data | |
JP2938087B2 (en) | A method for detecting corners of a shape represented by a straight short vector sequence | |
JP2006323780A (en) | Image processing device and method | |
JP5273801B2 (en) | Fingerprint feature point determination system, fingerprint feature point determination method, fingerprint feature point determination program | |
JP3286366B2 (en) | Inspection apparatus for contour data and automatic drawing input system including the same | |
JPH02130686A (en) | Graphic processor | |
JP3490169B2 (en) | Three-dimensional animation processing system and processing method | |
JP3481294B2 (en) | Automatic dimension line drawing system | |
CN114997094A (en) | Coordinate acquisition method and equipment for polygon unit in GDS image FOV | |
JPH02136975A (en) | Erroneous input detecting method for loading data | |
JPH04152483A (en) | Device and method for extracting graphic segmenting boundary | |
JPH0581385A (en) | Check method for finite element model | |
JPH01133176A (en) | Logical circuit block segmenting system | |
JP3405827B2 (en) | Graphic processing apparatus and intersection determination processing method | |
JPH0821085B2 (en) | Clipping circuit | |
JPH05123938A (en) | Tool path display method | |
JPH0516072B2 (en) | ||
JPH01276277A (en) | Method for linear approximation | |
JPH028960A (en) | Method for extracting and processing common part in two polygons | |
JPS63205770A (en) | Method for dividing finite element |