用二次曲面实现代数曲面的光滑拼接

用二次曲面实现代数曲面的光滑拼接

展丙军¹, 白根柱², 雷娜³

1. 大庆师范学院数学系, 黑龙江省大庆 163712; 2. 内蒙古民族大学数学与计算机科学学院, 内蒙古自治区通辽 028043; 3. 吉林大学数学学院, 长春 130012

收稿日期:2007-05-08 修回日期:1900-01-01 出版日期:2007-07-26 发布日期:2007-07-26
通讯作者: 雷娜

Blending Algebraic Surfaces Using Quadric Surface

ZHAN Bingjun¹, BAI Genzhu², LEI Na³

1. Department of Mathematics, Daqing Normal College, Daqing 163712, Heilongjiang Province, China;2. College of Mathematics and Computer Science, Inner Mongolia University for Nationnalities, Tongliao 028043, Inner Mongolia Autonomous Region, China; 3. College of Mathematics, Jilin University, Changchun 130012, China

Received:2007-05-08 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
Contact: LEI Na

摘要/Abstract

摘要： 利用构造性代数几何的理论与方法, 使用两个球面和一个单叶双曲面构造出一种结构, 使之可以用来光滑拼接任意两个轴线相交的二次曲面, 并以两个轴线相交的圆柱面为例说明了该结构的有效性. 使用该方法计算量小, 所得混合曲面次数低.

关键词: 光滑拼接, 几何连续, 二次曲面

Abstract: The theory and the method of constructive algebraic geometry were used to construct a kind of structure from two spheres and a hyperboloid of one sheet which can be used to blend any two kinds of quadric surfaces smoothly. This method is easy to be realized and the degrees of the blending surfaces are the lowest. Finally we also gave an example to show the effectivity of this structure by blending two cylinders.

Key words: blending, geometric continuity, quadric surface

中图分类号:

O241.3

展丙军, 白根柱, 雷娜. 用二次曲面实现代数曲面的光滑拼接[J]. J4, 2007, 45(04): 562-565.

ZHAN Bingjun, BAI Genzhu, LEI Na. Blending Algebraic Surfaces Using Quadric Surface[J]. J4, 2007, 45(04): 562-565.

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