基于多项式伸缩因子的参数曲面自由变形

中国机械工程 ›› 2012, Vol. 23 ›› Issue (5): 609-613.

基于多项式伸缩因子的参数曲面自由变形

陆友太;周来水;王志国;王小平

南京航空航天大学,南京,210016

出版日期:2012-03-10 发布日期:2012-03-21
基金资助:
国家自然科学基金资助项目(50805075)；南京航空航天大学基本科研业务费专项科研资助项目(NS2010138)
National Natural Science Foundation of China（No. 50805075）

Free-form Deformation Based on Polynomial Extension Factor for Parametric Surfaces

Lu Youtai;Zhou Laishui;Wang Zhiguo;Wang Xiaoping

Nanjing University of Aeronautics and Astronautics, Nanjing, 210016

Online:2012-03-10 Published:2012-03-21
Supported by:
National Natural Science Foundation of China（No. 50805075）

摘要/Abstract

摘要：

为得到理想的参数曲面造型效果,构造了一种新的基于多项式的伸缩因子,它不仅具有已有伸缩因子的特性,还具有区域峰值性;同时,扩展了参数曲面自由变形方法,将变形区域由圆域推广至四边域。在将伸缩因子作用于待变形曲面方程时,通过交互改变控制参数来控制曲面的形状,从而得到变形效果。实验结果表明,该方法计算简单、易于控制,可以得到丰富的变形效果。适用于几何造型、计算机动画、CAD/CAM等领域。



关键词:

参数曲面, 多项式, 伸缩因子, 自由变形

Abstract:

In order to obtain ideal modeling effectiveness of parametric surfaces, a new polynomial extension factor was constructed. The new extension factor had the excellence of the existing extension factors, and can achieve its maximum in the region. In the extended technique for free-form deformation of parametric surfaces, the original surface can be deformed at four-sided region. The deformation of a surface was achieved through multiplying the equation of the surface by the extension factor. And interactively modifying control parameters, the outside of object can be described well. Experiments show that the method is simple, intuitive and easy to control, and desired deformations can be easily achieved. It can be used in many fields such as geometric modeling, computer animation and CAD/CAM.

Key words: parametric surface, polynomial, extension factor, free-form deformation

中图分类号:

TP391

陆友太, 周来水, 王志国, 王小平.

基于多项式伸缩因子的参数曲面自由变形

[J]. 中国机械工程, 2012, 23(5): 609-613.

LIU You-Ta, ZHOU Lai-Shui, WANG Zhi-Guo, WANG Xiao-Beng.

Free-form Deformation Based on Polynomial Extension Factor for Parametric Surfaces

[J]. China Mechanical Engineering, 2012, 23(5): 609-613.

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