JPH0392899A - Image processor - Google Patents

Image processor

Info

Publication number
JPH0392899A
JPH0392899A JP1229851A JP22985189A JPH0392899A JP H0392899 A JPH0392899 A JP H0392899A JP 1229851 A JP1229851 A JP 1229851A JP 22985189 A JP22985189 A JP 22985189A JP H0392899 A JPH0392899 A JP H0392899A
Authority
JP
Japan
Prior art keywords
brightness
modulation degree
line segment
pixel
end point
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
Application number
JP1229851A
Other languages
Japanese (ja)
Other versions
JP2611007B2 (en
Inventor
Tsuneo Nakai
中井 恒雄
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.)
Seiko Instruments Inc
Original Assignee
Seiko Instruments Inc
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 Seiko Instruments Inc filed Critical Seiko Instruments Inc
Priority to JP1229851A priority Critical patent/JP2611007B2/en
Publication of JPH0392899A publication Critical patent/JPH0392899A/en
Application granted granted Critical
Publication of JP2611007B2 publication Critical patent/JP2611007B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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  • Controls And Circuits For Display Device (AREA)
  • Digital Computer Display Output (AREA)
  • Image Generation (AREA)

Abstract

PURPOSE:To alter the shape of an end point without sacrificing speed by providing a brightness modulation degree generating table generating a brightness modulation degree from coordinates of a dissolved pixel and its inclination, brightness modulating circuits and a frame memory holding a finally displayed brightness. CONSTITUTION:The brightness modulation degree generating table 3 generating the brightness modulation degree from the coordinates of the dissolved pixel and its inclination, the brightness modulating circuits 4l to 4n, and the frame memory 5 holding the finally displayed brightness compose the image processor. By providing the brightness modulation degree generating table 3, the brightness of an end point in a complicated shape can be modulated, and simultaneously the table 3 is used for a high speed memory. Thus, deterioration in performance is prevented, and the shape of the end point can be arbitrarily altered without modifying hardware because the memory is employed.

Description

【発明の詳細な説明】 〔産業上の利用分野〕 本発明は表示図形に輝度変調をかけることで、本来のイ
メージにより近い画像を得ることのできる図形処理機能
を持つ、ラスクースキャン型の2次元又は3次元画像処
理装置に関する。
[Detailed Description of the Invention] [Industrial Application Field] The present invention is a Lascous scan-type two-dimensional image processing system that has a graphic processing function that can obtain an image closer to the original image by applying brightness modulation to the displayed graphic. The present invention relates to a dimensional or three-dimensional image processing device.

〔従来の技術〕[Conventional technology]

従来ラスクスキャン型図型表示装置に特有の階段状ジャ
ギ一対策として、本出願人より先に提出された特許12
25686号及び1249199号に示される複数のビ
ームを輝度変調することによるラインスムージング法が
考案されている。また、輝度変調の根拠として線分補間
で発生した座標によるものや、線分に幅を持たせておき
、あるピクセルの領域内にその幅付線分がかかる割合に
よる面積法がある。ピクセルの領域とは、となり合うピ
クセル間の距離を一辺とする正方形を仮定している(第
4図)。第4図中の円はピクセルの変調度を示す。円が
小さいほど、より暗く変調することになる. 〔発明が解決しようとする課題〕 上記の技術では線分の中央部については効果があるが端
点部については明確な思想がなかった。
Patent No. 12 was filed earlier by the present applicant as a countermeasure against the step-like jaggedness peculiar to conventional Rusk scan type graphic display devices.
A line smoothing method by brightness modulating a plurality of beams has been devised as shown in No. 25686 and No. 1249199. Further, as the basis for brightness modulation, there is a method based on coordinates generated by line segment interpolation, and an area method based on the proportion of a line segment with width within a certain pixel area, in which a line segment is given a width. The pixel area is assumed to be a square whose side is the distance between adjacent pixels (Figure 4). The circles in FIG. 4 indicate the modulation degree of the pixel. The smaller the circle, the darker the modulation will be. [Problem to be Solved by the Invention] The above technique is effective for the center portion of a line segment, but there is no clear idea regarding the end point portion.

端患部を中央部の延長として扱った場合、垂直水平方向
に切られることになり、角度が45度方向になるほど端
点部における切片形状というものが目立ってしまう(第
6図)。特にメジャ一方向に基づいてピクセル発生を行
うDDA方式では、45度ではさんでその切片形状の違
いが顕著となり、多角形などには欠落部も生じる(第7
図)。
If the end affected area is treated as an extension of the central part, it will be cut in the vertical and horizontal directions, and the more the angle becomes 45 degrees, the more conspicuous the cut shape at the end point will be (Figure 6). In particular, in the DDA method, which generates pixels based on one major direction, the difference in the shape of the section between 45 degrees becomes noticeable, and there are also missing parts in polygons etc.
figure).

又、本アルゴリズムをハードウェアにより固定してしま
った場合には、線分形状に変化を持たせようとした場合
にその対応が難しくなる。またソフトウェアに頼るとス
ピードの低下は避けられないという欠点がある。
Furthermore, if this algorithm is fixed by hardware, it will be difficult to handle changes in the shape of line segments. Another disadvantage is that relying on software inevitably reduces speed.

本発明の目的は線分がどの方向に書かれても形状が一定
な端点を実現し、また端点形状の変更をハードウェアの
変更や、スピードダウンというパフォーマンスの低下を
招くことなく実現することにある。
The purpose of the present invention is to realize end points that have a constant shape no matter which direction a line segment is drawn, and to change the shape of the end points without changing the hardware or causing performance degradation such as speed reduction. be.

〔課題を解決するための手段〕[Means to solve the problem]

本発明は以上の点に鑑み、表示すべき線分の始点・終点
の座標,輝度.及び傾きを発生する前処理部と、該線分
をピクセル座標に分解する線分補間器と、該分解された
ピクセル座標と傾きより輝度変調度を発生させる輝度変
調度発生テーフルと、該輝度変調度と該輝度より最終的
に表示される輝度を発生させる輝度変調回路と、該最終
的に表示させる輝度を保持しておくフレームメモリとか
ら構成し、輝度変調度発生テーブルを持つことにより端
点という複雑な形状の輝度変調を行い、それと同時にテ
ーブルに高速メモリを使うことでパフォーマンスの低下
を防ぎ、またメモリであるがゆえハードウエアを変更す
ることなく端点形状を住意に変更できるようにした。
In view of the above points, the present invention provides coordinates and brightness of the starting and ending points of the line segment to be displayed. and a preprocessing unit that generates a slope, a line segment interpolator that decomposes the line segment into pixel coordinates, a brightness modulation degree generation table that generates a brightness modulation degree from the decomposed pixel coordinates and the slope, and the brightness modulation. It consists of a brightness modulation circuit that generates the final displayed brightness from the brightness and the brightness, and a frame memory that holds the final displayed brightness, and has a brightness modulation degree generation table. By performing brightness modulation of complex shapes and at the same time using high-speed memory for the table, performance degradation was prevented, and since it was memory, the shape of the end points could be changed as desired without changing the hardware.

〔作用) 上記のような輝度変調度発生テーブルを用いることによ
り次の利点が生しる。
[Function] The use of the luminance modulation degree generation table as described above provides the following advantages.

■ lit画方向に関係なく一定な形状の端点が得られ
る。画像処理装置において線分の移動等の操作を行った
場合に、その線分の方向が変わるにつれ、その端点形状
の不自然さが目立つことがない。また、円を多角形で近
似して表示する時にも45度を境にして線分同志の連結
部に欠けを生しることもない(第8図)。
(2) End points of a constant shape can be obtained regardless of the lit image direction. When an operation such as moving a line segment is performed in the image processing device, as the direction of the line segment changes, the unnatural shape of the end point does not become noticeable. Furthermore, even when a circle is approximated and displayed as a polygon, there will be no breakage in the connecting portions of line segments at 45 degrees (FIG. 8).

■ ラスタースキャン型の表示装置では1ピクセル単位
が表示の最小単位であり、これより小さい分解能の表示
はできない。しかし、ラインスムージングという輝度変
調にょり見がけ上より小さい単位まで表示が可能である
。 (ナブピクセル単位とする。第9図)このサブピク
セルを端点にも応用すれば線分全体が、lピクセル以下
の高分解能な表示をすることができる。
■ In a raster scan type display device, the minimum unit of display is one pixel, and display with a resolution smaller than this is not possible. However, with brightness modulation called line smoothing, it is possible to display images in units that are smaller than they appear. (In units of nub pixels. FIG. 9) If this sub-pixel is also applied to end points, the entire line segment can be displayed with a high resolution of less than 1 pixel.

第9図でPn (n=1.2.−)はピクセル領域であ
り、1ピクセル長の正方形である。面積法では線分を幅
を持たせた頻域6とし、あるピクセル領域の変調度は領
域6が占める割合An (n=1.2,一・−)で表せ
る。従ってサブピクセルをこの割合Anを使うことで端
点も含め表現することができる。
In FIG. 9, Pn (n=1.2.-) is a pixel area, which is a square with a length of one pixel. In the area method, a line segment is defined as a frequency region 6 with a width, and the modulation degree of a certain pixel region can be expressed as a proportion An (n=1.2, 1.-) occupied by the region 6. Therefore, by using this ratio An, subpixels including end points can be expressed.

■ 以前にも述べたように、線分に幅を持たせておき、
その幅付線分が1ピクセルにしめる割合で輝度変調度を
決めるのであるが、幅の設定を変えることで1ピクセル
幅以上の幅付線も表示できる(第lO図)。
■ As mentioned before, give width to line segments,
The degree of brightness modulation is determined by the proportion of the width line segment to one pixel, but by changing the width setting, lines with a width of one pixel or more can also be displayed (Figure 1O).

■ 端点を任意形状とすることのできる本発明では、第
10図に示すような応用が可能である。第10図では線
分に幅を持たせた領域プラス端点に任意の形状を持たせ
た領域7が示されており、各ピクセル領域Pn (n=
l,2.  −1 とその内で領域7のしめる割合An
 (n=1,  2,)で変調度が決定される。
(2) The present invention, which allows the end points to have arbitrary shapes, can be applied as shown in FIG. In FIG. 10, a region 7 is shown in which the line segment has a width plus a region 7 in which the end point has an arbitrary shape, and each pixel region Pn (n=
l, 2. −1 and the proportion of area 7 within it An
The modulation degree is determined by (n=1, 2,).

また、テーブル人力としてモードを使用すれば複数の形
状を同時に使い分ける事もできる。
Also, if you use the mode as table power, you can use multiple shapes at the same time.

第11図では8が端点を方形とした場合で、例として文
字9と10を示す。また1lは端点を円とした場合で、
例として文字12とl3を示す。
In FIG. 11, 8 is a case where the end points are squares, and characters 9 and 10 are shown as examples. Also, 1l is when the end point is a circle,
Characters 12 and l3 are shown as examples.

〔実施例〕〔Example〕

以下、本発明を図示の実施例に基づいて説明する。第1
図は本発明を実施するためのブロノク図である。lは線
分補間に必要なパラメータを写える前処理部であり、出
力として線分輝度I、始点のX成分XsとY威分Ys,
終点のX成分XeとY成分Ye、及び線分の傾きtan
θがある。
Hereinafter, the present invention will be explained based on illustrated embodiments. 1st
The figure is a Bronnoch diagram for implementing the present invention. l is a preprocessing unit that captures the parameters necessary for line segment interpolation, and outputs the line segment brightness I, the X component Xs and Y component Ys of the starting point,
X component Xe and Y component Ye of the end point, and slope tan of the line segment
There is θ.

2は前記XS, ”1’s,  Xe, Yeおよびt
anθにより線分をピクセルへと分解する線分補間器で
ある。線分補間器2では始点と衿点の各X威分とY成分
の変位量を比較し、絶対量の大きい威分をメジャーとす
る。このメジャー成分を1増減させた時にtanθ又は
l / t a nθを加算することで線分上の1つの
点が求まる。このメジャ一方向lピクセル長の間隔で並
ぶ点列の座標をJ (メジャー威分)、N(マイナー威
分〉として出力する。
2 is the above XS, "1's, Xe, Ye and t
This is a line segment interpolator that decomposes a line segment into pixels by anθ. The line segment interpolator 2 compares the displacement amount of each X component and Y component of the starting point and the collar point, and takes the displacement amount with the larger absolute amount as a measure. One point on the line segment is found by adding tanθ or l/tanθ when this major component is increased or decreased by 1. The coordinates of this sequence of points arranged at intervals of l pixel length in one major direction are output as J (major weight) and N (minor weight).

3は本発明の肝となる輝度変調度発生テーブルであり、
前記J,N.tanθおよびテーブルコントロール用の
MODE信号によりテーブル参照を行う。テーブルには
高速のメモリが最適であり、線分や円などの複雑な方程
式に基づく変調度数をパフォーマンスの低下することな
く得られる。テーブルの内容は後述する。テーブル出力
として本実施例では3ピクセル分の変調度数Ln.Lm
L 1を書いたが、当然その出力はいくつでも構わない
。Lmは前記点列の座標が存在する。又は一番近いピク
セルであり、その上下のピクセルをLn.LEという変
調度をかけて修飾する。
3 is a brightness modulation degree generation table which is the key to the present invention,
Said J,N. Table reference is performed using tanθ and a MODE signal for table control. High-speed memory is optimal for the table, allowing modulation degrees based on complex equations such as line segments and circles to be obtained without degrading performance. The contents of the table will be described later. In this embodiment, the table output is the modulation degree Ln for 3 pixels. Lm
I wrote L1, but of course there can be any number of outputs. Lm has the coordinates of the point sequence. or the nearest pixel, and the pixels above and below it are Ln. It is modified by applying a modulation factor called LE.

4n.4m,41は、線分輝度■と輝度変調度数Ln.
Lm.Li2から変調後の最衿輝度In,lm,11を
掛算等の手段により生威する輝度変調回路である.この
輝度変調回路も線分にっける幅μとにより増減を行って
も本発明上差し支えない。
4n. 4m, 41 are the line segment luminance ■ and the luminance modulation frequency Ln.
Lm. This is a brightness modulation circuit that generates energy by multiplying Li2 by the maximum brightness In, lm, 11 after modulation. This brightness modulation circuit may also be increased or decreased depending on the width μ of the line segment without any problem in the present invention.

5は上記最終輝度In.lm,  ■1を保持しておく
フレームメモリである。本メモリ5は画像として表示さ
れるものであり、前記線分補間器2より座標J.Nを最
終輝度lmのアドレスとして受け取ると同時に、In,
Inに関してはオフセノトを加えてからアドレスとし、
それぞれ書き込む。
5 is the final brightness In. This is a frame memory that holds lm, ①1. This memory 5 is displayed as an image, and the coordinates J. At the same time as receiving N as the address of the final luminance lm, In,
For In, add offset and then address,
Write each.

第2図は前記輝度変調度テーブル3の内容を説明するも
のである。Pn.Pm.P1はそれぞれ前記Ln,Lm
,Lj!に対応するピクセル領域であり、1つのピクセ
ル領域は1辺が1ピクセル長の正方形である.線分はピ
クセル領域Pmをよぎるものとし、その座標値が前記座
IIJ.Nである。
FIG. 2 explains the contents of the luminance modulation degree table 3. Pn. Pm. P1 are the above-mentioned Ln and Lm, respectively.
,Lj! This is a pixel area corresponding to , and one pixel area is a square with each side having a length of 1 pixel. It is assumed that the line segment crosses the pixel area Pm, and its coordinate values are the above-mentioned locus IIJ. It is N.

線分の端点でないケースではJはピクセル領域の中心に
固定しても構わず、マイナ方向の座lj!Nとtanθ
のみで前記輝度変調度テーブル3へ入力しても、その輝
度変調度数Ln,Lm,L1を得る事ができる。これは
面積法に基づく変調度であるが、テーブルである以上他
のアルゴリズムによる変調度であっても構わない。
In the case where it is not the end point of a line segment, J may be fixed at the center of the pixel area, and the locus lj! in the minor direction! N and tanθ
Even if the brightness modulation degrees Ln, Lm, and L1 are input into the brightness modulation degree table 3 using only the brightness modulation degrees Ln, Lm, and L1. This is the modulation degree based on the area method, but as long as it is a table, the modulation degree may be based on another algorithm.

第3図は第2図と同様に輝度変調度テーブル3の内容を
説明するものであるが、線分の端点のケースである。端
点がピクセル領域Pmzに在り、Pnz 、P 1 H
に変調が行われると同時に、端点の形状によりPn+.
pm,,P 11及びPn,,Pm,,Pf,にも変調
の必要が生しる。この(PnP rn1, P l l
)と(P n z. P m2, P 1 z )と(
Pn3,Pm,,P1* )に対しては前記座標J,N
、傾きtanθ及び前記MODE信号によりテーブルア
クセスを行う。
FIG. 3, like FIG. 2, explains the contents of the brightness modulation degree table 3, but in the case of the end points of a line segment. The end point is in the pixel area Pmz, Pnz , P 1 H
At the same time, Pn+. is modulated due to the shape of the end points.
It is also necessary to modulate pm, , P 11 and Pn, , Pm, , Pf. This (PnP rn1, P l l
) and (P n z. P m2, P 1 z ) and (
Pn3, Pm,, P1*), the coordinates J, N
, the slope tanθ and the MODE signal perform table access.

〔発明の効果〕〔Effect of the invention〕

以上の説明から明らかなように、本発明は輝度変調度テ
ーブルを有することにより端点形状にもラインスムージ
ングの施された線分を得ることができ、またテーブルの
内容に別形状の端点を追加したり、別な線幅を追加する
ことで任意形状の線分をパフォーマンスの低下すること
なく得ることができる。そしてピクセルの大きさに制限
されないサブピクセルというレヘルまで表現でき、どの
方向を向いた線分でもその形状を等しく得られるという
大変優れた特徴を有するものである。
As is clear from the above description, by having a brightness modulation degree table, the present invention can obtain line segments with line smoothing applied to end point shapes, and can also add end points of other shapes to the contents of the table. By adding different line widths, line segments of arbitrary shapes can be obtained without deteriorating performance. It has the excellent feature that it can express up to the level of sub-pixel without being limited by the size of a pixel, and that the shape of a line segment facing in any direction can be obtained equally.

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

第1図は本発明の画像処理装置の一実施例を示すプロノ
ク図、第2図.第3図はそれぞれ面積法による端部でな
い線分及び端部での輝度変調の概念を説明する図、第4
図は従来のラインスムージングを説明するための図、第
5図は本発明の画像処理装置におけるラインスムージン
グを施した場合を示す図、第6図は従来技術における4
5度でメジャ一方向が変わる場合の切片形状を示す図、
第7図は従来技術における多角形近似の円の一部を示す
図、第8図(A) , (B)はそれぞれ本発明の画像
処理装置における45度でメジャ一方向が変わる場合の
切片形状及び多角形近似の円の一部を示す図、第9図は
本発明における端点のサブピクセルを説明する図、第1
0図は本発明における任意形状・任意端点部形状を説明
する図、第1l図(A) , (B) , (C)は本
発明における端点形状が方形の場合の例を示す図、第1
1図(D) , (E) , (F)は本発明における
端点形状が円形の場合の例を示す図である。 l ・ ・ ・ 2 ・ ・ ・ 3 ・ ・ ・ 4n, 4 5 ・ ・ ・ 前処理部 線分捕間器 輝度変調度発生テーブル m,4n・・・輝度変調回路 フレームメモリ 以 上
FIG. 1 is a professional diagram showing an embodiment of the image processing apparatus of the present invention, and FIG. Figure 3 is a diagram explaining the concept of brightness modulation at a line segment that is not an end and at an end using the area method, respectively.
The figure is a diagram for explaining conventional line smoothing, FIG. 5 is a diagram showing a case where line smoothing is applied in the image processing apparatus of the present invention, and FIG. 6 is a diagram for explaining conventional line smoothing.
A diagram showing the intercept shape when one major direction changes by 5 degrees,
FIG. 7 is a diagram showing a part of a polygonal approximation circle in the prior art, and FIGS. 8(A) and 8(B) are respectively section shapes when one major direction changes by 45 degrees in the image processing apparatus of the present invention. FIG. 9 is a diagram illustrating sub-pixels at end points in the present invention, and FIG.
Figure 0 is a diagram explaining the arbitrary shape and arbitrary end point shape in the present invention, Figures 11 (A), (B), and (C) are diagrams showing examples when the end point shape in the present invention is rectangular, and Figure 1
1 (D), (E), and (F) are diagrams showing examples in which the shape of the end point in the present invention is circular. l ・ ・ ・ 2 ・ ・ ・ 3 ・ ・ ・ 4n, 4 5 ・ ・ ・ Preprocessing section line segmenter brightness modulation degree generation table m, 4n...brightness modulation circuit frame memory or more

Claims (1)

【特許請求の範囲】[Claims] 表示すべき線分の始点座標、終点座標、輝度、及び傾き
を発生する前処理部と、前記線分をピクセル座標に分解
する線分補間器と、分解されたピクセル座標及び傾きよ
り輝度変調度を発生する輝度変調度発生テーブルと、発
生された輝度変調度と前記輝度より最終的に表示される
輝度を発生させる輝度変調回路と、最終的に表示される
輝度を保有しておくフレームメモリとを具備することを
特徴とする画像処理装置。
a preprocessing unit that generates the starting point coordinates, end point coordinates, brightness, and slope of a line segment to be displayed; a line segment interpolator that decomposes the line segment into pixel coordinates; and a brightness modulation degree based on the decomposed pixel coordinates and slope. a brightness modulation circuit that generates the brightness to be finally displayed from the generated brightness modulation degree and the brightness, and a frame memory that holds the brightness to be finally displayed. An image processing device comprising:
JP1229851A 1989-09-05 1989-09-05 Image processing device Expired - Fee Related JP2611007B2 (en)

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JP1229851A JP2611007B2 (en) 1989-09-05 1989-09-05 Image processing device

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Application Number Priority Date Filing Date Title
JP1229851A JP2611007B2 (en) 1989-09-05 1989-09-05 Image processing device

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JPH0392899A true JPH0392899A (en) 1991-04-18
JP2611007B2 JP2611007B2 (en) 1997-05-21

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2006080115A1 (en) * 2005-01-25 2006-08-03 Sony Computer Entertainment Inc. Drawing method, image generating device, and electronic information apparatus
JP2009134773A (en) * 2009-03-25 2009-06-18 Sony Computer Entertainment Inc Drawing method, image generation device and electronic information apparatus

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS56156873A (en) * 1980-05-07 1981-12-03 Seiko Instr & Electronics Linear line generating circuit
JPS57172491U (en) * 1981-04-27 1982-10-30
JPS6098485A (en) * 1983-11-04 1985-06-01 カシオ計算機株式会社 Display unit
JPS61239294A (en) * 1985-04-16 1986-10-24 富士通株式会社 Vector generation system
JPS63118790A (en) * 1986-11-07 1988-05-23 富士通株式会社 End shape correction system for drawing segment with width
JPH01202785A (en) * 1988-02-09 1989-08-15 Seiko Instr & Electron Ltd Segment generator

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS56156873A (en) * 1980-05-07 1981-12-03 Seiko Instr & Electronics Linear line generating circuit
JPS57172491U (en) * 1981-04-27 1982-10-30
JPS6098485A (en) * 1983-11-04 1985-06-01 カシオ計算機株式会社 Display unit
JPS61239294A (en) * 1985-04-16 1986-10-24 富士通株式会社 Vector generation system
JPS63118790A (en) * 1986-11-07 1988-05-23 富士通株式会社 End shape correction system for drawing segment with width
JPH01202785A (en) * 1988-02-09 1989-08-15 Seiko Instr & Electron Ltd Segment generator

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2006080115A1 (en) * 2005-01-25 2006-08-03 Sony Computer Entertainment Inc. Drawing method, image generating device, and electronic information apparatus
US7884825B2 (en) 2005-01-25 2011-02-08 Sony Computer Entertainment Inc. Drawing method, image generating device, and electronic information apparatus
JP2009134773A (en) * 2009-03-25 2009-06-18 Sony Computer Entertainment Inc Drawing method, image generation device and electronic information apparatus

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