• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2016, Vol. 38 ›› Issue (06): 1225-1230.

• 论文 • 上一篇    下一篇

基于伸缩因子的代数曲线曲面变形方法

李军成   

  1. (湖南人文科技学院数学系,湖南 娄底 417000)
  • 收稿日期:2015-03-31 修回日期:2015-08-11 出版日期:2016-06-25 发布日期:2016-06-25
  • 基金资助:

    湖南省自然科学基金(13JJ6081);湖南省教育厅资助科研项目(14B099)

A method of algebraic curve and surface
deformations based on extension factors  

LI Juncheng   

  1. (Department of Mathematics,Hunan University of Humanities,Science and Technology,Loudi 417000,China)
  • Received:2015-03-31 Revised:2015-08-11 Online:2016-06-25 Published:2016-06-25

摘要:

提出了一种基于伸缩因子的代数曲线曲面变形方法。首先构造了一种用于代数曲线曲面变形的伸缩因子,然后将所构造的伸缩因子分别作用于待变形的代数曲线与曲面,通过改变伸缩因子各参数的取值实现对代数曲线曲面的变形。实例表明,该方法操作方便,易于控制,可获得丰富的变形效果,是一种简单有效的代数曲线曲面变形方法。

关键词: 代数曲线曲面, 变形, 伸缩因子

Abstract:

We present a method of algebraic curve and surface deformations based on extension factor. We first construct  the extension factors for algebraic curve and surface deformations, which then  act on the algebraic curves and surfaces to be deformed. Deformation on the algebraic curves and surfaces can be realized by changing the values of the extension factors. Examples show that the proposed method is convenient to operate, easy to control and achieves rich deformation effect, which is therefore a simple and effective method for algebraic curve and surface deformations.

Key words: algebraic curves and surfaces;deformation;extension factor