TW376489B - Method and apparatus for rendering cubic curves - Google Patents

Method and apparatus for rendering cubic curves

Info

Publication number
TW376489B
TW376489B TW087115833A TW87115833A TW376489B TW 376489 B TW376489 B TW 376489B TW 087115833 A TW087115833 A TW 087115833A TW 87115833 A TW87115833 A TW 87115833A TW 376489 B TW376489 B TW 376489B
Authority
TW
Taiwan
Prior art keywords
curve
control points
rendering
cubic
sets
Prior art date
Application number
TW087115833A
Other languages
English (en)
Inventor
Hon-Wen Pon
Hsiao-Ching Wu
Original Assignee
Matsushita Electric Ind Co 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.)
Filing date
Publication date
Application filed by Matsushita Electric Ind Co Ltd filed Critical Matsushita Electric Ind Co Ltd
Application granted granted Critical
Publication of TW376489B publication Critical patent/TW376489B/zh

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/00—2D [Two Dimensional] image generation
    • G06T11/20—Drawing from basic elements, e.g. lines or circles
    • G06T11/203—Drawing of straight lines or curves

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Image Generation (AREA)
  • Processing Or Creating Images (AREA)
TW087115833A 1998-06-01 1998-09-23 Method and apparatus for rendering cubic curves TW376489B (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP10151104A JPH11345344A (ja) 1998-06-01 1998-06-01 ３次曲線を与える方法及び装置

Publications (1)

Publication Number Publication Date
TW376489B true TW376489B (en) 1999-12-11

Family

ID=15511443

Family Applications (1)

Application Number Title Priority Date Filing Date
TW087115833A TW376489B (en) 1998-06-01 1998-09-23 Method and apparatus for rendering cubic curves

Country Status (6)

Country Link
US (1) US6295072B1 (zh)
JP (1) JPH11345344A (zh)
CN (1) CN1106621C (zh)
MY (1) MY116776A (zh)
SG (1) SG71156A1 (zh)
TW (1) TW376489B (zh)

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DE19901934C2 (de) * 1999-01-19 2001-07-19 Heidelberger Druckmasch Ag Verfahren zur Erzeugung eines Rahmens für grafische Objekte, die durch Bezier-Kurven beschrieben sind
US20050156930A1 (en) * 2004-01-20 2005-07-21 Matsushita Electric Industrial Co., Ltd. Rendering device and rendering method
US8068103B2 (en) * 2004-06-24 2011-11-29 Apple Inc. User-interface design
US7116327B2 (en) * 2004-08-31 2006-10-03 A{grave over (g)}fa Corporation Methods for generating control points for cubic bezier curves
US20070239696A1 (en) * 2006-03-28 2007-10-11 Microsoft Corporation Interactive relational graphic solutions
US7930902B2 (en) * 2006-06-26 2011-04-26 Emhart Glass S.A. Mechanism for conveying an article
US7952580B1 (en) 2007-08-31 2011-05-31 Adobe Systems Incorporated Classification of exterior and interior triangles for artwork rendering
US8068106B1 (en) 2007-08-31 2011-11-29 Adobe Systems Incorporated Rendering cubic Bézier curves as quadratic curves using a GPU
US7928984B1 (en) 2007-08-31 2011-04-19 Adobe Systems Incorporated Efficient data packaging for rendering bézier curves on a GPU
US8044955B1 (en) 2007-08-31 2011-10-25 Adobe Systems Incorporated Dynamic tessellation spreading for resolution-independent GPU anti-aliasing and rendering
US7868887B1 (en) 2007-10-18 2011-01-11 Adobe Systems Incorporated Rendering rational quadratic Bézier curves on a GPU
CN101796546B (zh) * 2007-10-30 2012-12-12 国立大学法人横滨国立大学 插补处理方法以及插补处理装置
US8248419B2 (en) * 2009-04-21 2012-08-21 Sony Corporation Entertainment Inc. Generation of cubic Bezier control points in computer graphics systems
US20110285736A1 (en) 2010-05-21 2011-11-24 Kilgard Mark J Decomposing cubic bèzier segments for tessellation-free stencil filling
JPWO2012140910A1 (ja) * 2011-04-15 2014-07-28 パナソニック株式会社 曲線描画装置、曲線描画方法、曲線描画プログラム及び集積回路
US20130018636A1 (en) * 2011-07-14 2013-01-17 Microsoft Corporation Quadratic approximate offset curves for quadratic curve segments
CN102999930B (zh) * 2011-09-15 2015-11-25 汉王科技股份有限公司 一种电子笔迹线条描绘方法及装置
CN103390283B (zh) * 2012-05-09 2017-10-31 腾讯科技（深圳）有限公司 绘制平行曲线的方法和设备
KR101980200B1 (ko) 2012-07-12 2019-05-20 삼성전자주식회사 베이지어 커브에 대한 타일 비닝을 수행하는 그래픽 처리 장치 및 방법
CN102903134B (zh) * 2012-09-13 2016-05-04 烽火通信科技股份有限公司 快速绘制多次曲线的方法
US9965446B1 (en) * 2013-07-19 2018-05-08 Amazon Technologies, Inc. Formatting a content item having a scalable object
US10347016B2 (en) * 2016-01-12 2019-07-09 Monotype Imaging Inc. Converting font contour curves
US10936792B2 (en) 2017-12-21 2021-03-02 Monotype Imaging Inc. Harmonizing font contours
CN110347357B (zh) * 2019-07-15 2020-12-04 北大方正集团有限公司 打印处理方法和装置
CN113379873B (zh) * 2021-08-11 2021-11-09 北京赛目科技有限公司 一种道路曲线确定方法、装置、电子设备

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Publication number Priority date Publication date Assignee Title
NL8300872A (nl) * 1983-03-10 1984-10-01 Philips Nv Multiprocessor-rekenmachinesysteem voor het tot een gekleurde afbeelding verwerken van in een hierarchische datastruktuur gedefinieerde objekt-elementen.
JPH0458378A (ja) 1990-06-28 1992-02-25 Mitsubishi Heavy Ind Ltd ベジエ曲線を分割して展開する方法
JP3327622B2 (ja) 1992-04-29 2002-09-24 キヤノン株式会社 ベジェスプラインから２次多項式フラグメントへの変換
US5363479A (en) 1992-07-02 1994-11-08 Microsoft Corporation System and method for rendering bezier splines
JP3287685B2 (ja) 1994-02-02 2002-06-04 キヤノン株式会社 データ変換装置及び方法
US5638503A (en) 1994-07-07 1997-06-10 Adobe Systems, Inc. Method and apparatus for generating bitmaps from outlines containing bezier curves
US5995109A (en) * 1997-04-08 1999-11-30 Lsi Logic Corporation Method for rendering high order rational surface patches

Also Published As

Publication number Publication date
SG71156A1 (en) 2000-03-21
CN1106621C (zh) 2003-04-23
CN1237739A (zh) 1999-12-08
MY116776A (en) 2004-03-31
US6295072B1 (en) 2001-09-25
JPH11345344A (ja) 1999-12-14

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