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用于参数曲面自由变形的一种新的缩放因子 被引量：5

A New Extension Factor for Free Deformation of Parametric Surface
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摘要 在《工程图学学报》2002年第1期论文"参数曲面自由变形新方法"的基础上,提出了一种用于参数曲面自由变形的新的缩放因子,该因子作用(缩放)于待变形曲面,能够使曲面发生形变。通过交互改变控制参数,可达到预期的变形效果。这种方法数学背景简单,易于操作和控制。大量实例证明,该方法可获得丰富的变形效果,适用于几何造型,计算机动画,CAD/CAM等领域。 Based on the paper ＂A New Approach of Free-Form Deformation for Parametric Surface＂ published on the ＂Journal of Engineering Graphics＂, issue 1 in 2002, a new extension factor for free deformation of parametric surface is presented. Using this extension factor the form of parametric surface can be deformed through changing the controlled parameters to achieve anticipated deformation effects. The mathematic background of this method is simple, and it is easy to manipulate and control. The plentiful deformation results can be seen from the massive examples. Thus, this method can be used in many fields such as geometric modeling, computer animation and CAD/CAM, etc.
作者 严兰兰 杨小宝 宋来忠
机构地区 东华理工大学数学与信息科学学院 汪岗农技服务中心 三峡大学理学院
出处 《工程图学学报》 CSCD 北大核心 2007年第4期61-66,共6页 Journal of Engineering Graphics
基金 湖北省教育厅自然科学重点科研基金资助项目(D200613009)
关键词 计算机应用 参数曲面 自由变形 缩放因子 computer application parametric surface free-form deformation extension factor
分类号 TP391 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献11

  • 1Barr A H.Global & local deformations of solid primitives[J].Computer Graphics,1984,18(3):21-30.
  • 2Ugur Gudukbay,Bulent Uzgu.Free-form solid modeling using deformations[J].Computer & Graphics,1990,14(3/4):491-450.
  • 3Sederberg T W,Parry R.Free-form deformations of solid geometric models[J].Computer Graphics,1986,20(4):151-160.
  • 4Coquillart S.Extended free-form deformation:a sculpting tool for 3D geometric modeling[J].Computer Graphics,1990,24(4):187-196.
  • 5Lazarus,Coquillart S,Jancene P.Axial deformation:an intuitive technique[J].Computer Aided Design,1994,26(8):607-613.
  • 6Feng J Q,Ma L Z,Peng Q S.New free-form deformation through the control of parametric surfaces[J].Computer & Graphics,1996,20(4):531-539.
  • 7Jin Xiaogang.General constrained deformation based on generalized meatballs[J].Computer & Graphics,2000,24:219-231.
  • 8Piegl L.Modifying the shape of rational B-spline,Part L Curves[J].Computer Aided Design,1989,21(8):509-518.
  • 9Sanchez Reyrs J.Asimple technique for NURBS shape modification[J].IEEE Computer Graphics & Applications,1997,17(1):52-59.
  • 10Barry Fowler,Richard Bartels.Constraint-based curve manipulation[J].IEEE Computer Graphics & Applications,1993,13(5):43-49.

二级参考文献10

  • 1[1]Barr A H. Global & local deformations of solid primitives [J]. Computer Graphics, 1984, 18(3): 21～30.
  • 2[2]Ugur Güdükbay, Bülent üzgüc. Free-form solid modeling using deformations [J]. Computer Graphics, 1990, 14(3/4): 491～500.
  • 3[3]Sederberg T W, Parry R. Free-form deformations of solid geometric models [J]. Computer Graphics,1986, 20(4): 151～160.
  • 4[4]Coquillart S. Extended free-form deformation: A sculpting tool for 3D geometric modeling [J]. Computer Graphics, 1990, 24(4): 187～196.
  • 5[5]Lazarus, Coquillart S, Jancene P. Axial deformation: An intuitive technique [J]. Computer Aided Design, 1994, 26(8): 607～613.
  • 6[6]Feng J Q, Ma L Z, Peng Q S. New free-form deformation through the control of parametric surfaces [J]. Computer & Graphics, 1996, 20(4): 531～539.
  • 7[7]Jin Xiaogang. General constrained deformation based on generalized metaballs [J]. Computer & Graphics, 2000 , 24: 219～231.
  • 8[8]Piegl L. Modifying the shape of rational B-spline, Part I: curves [J]. Computer Aided Design, 1989, 21(8): 509～518.
  • 9[9]Sánchez Reyrs J. A simple technique for NURBS shape modification [J]. IEEE Trans Computer Graphics & Applications, 1997, 17(1): 52～59.
  • 10[10]Barry Fowler, Richard Bartels. Constraint-based curve manipulation [J]. IEEE Trans Computer Graphics & Applications, 1993, 13(5): 43～49.

共引文献7

同被引文献16

  • 1Wang Xiaoping1 Ye Zhenglin1 Hu Xiaomin2 1. Department of Mathematics and Information Science, Northwestern Polytechnical University, Xian 710072, China 2. School of Science, Hangzhou institute of Electronic Engineering, Hangzhou 310037, China.Shape Modification and Deformation of Parametric Surfaces[J].Computer Aided Drafting,Design and Manufacturing,2002,12(1):1-7. 被引量：10
  • 2王小平,周儒荣,叶正麟,张丽艳.Shape Modification of Parametric Curves[J].Chinese Journal of Aeronautics,2004,17(4):251-259. 被引量：4
  • 3严兰兰,宋来忠.用于参数曲线自由变形的一种新的缩放因子[J].计算机与数字工程,2006,34(11):106-108. 被引量：1
  • 4Barr A H.1984.Global & local deformations of solid primitives[J].Computer Graphics,18(3):21-30.
  • 5Feng J Q,Ma L Z,Peng Q S.1996.New free-form deformation through the control of parametric surfaces[J].Computer & Graphics,20(4):531-539.
  • 6Piegl L.1989.Modifying the shape of rational B-spline,Part L Curves[J].Computer Aided Design,21(8):509-518.
  • 7Parida L.1993.A computational technique for general shape deformation for use in font design[J].Computer & Graphics,17(4):349-356.
  • 8Lazarus,Coquillart S,Jancene P.1994.Axial deformation:An intuitive technique[J].Computer Aided Design,26(8):607-613.
  • 9Sederberg T W,Parry R.1986.Free-form deformations of solid geometric models[J].Computer Graphics,20(4):151-160.
  • 10Gudukbay U,Uzgu B.1990.Free-form solid modeling using deformations[J].Computer & Graphics,14(3/4):491-450.

引证文献5

二级引证文献12

工程图学学报
2007年 第4期

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