| 摘要: |
| 若隐函数曲面由等式f(x,y,z)=0定义,则其相对应的实体满足不等式f(x,y,z)≥0,对这种实体的并、交、差等布尔操作采用R-函数来实现.特别地,由Metaball定义的隐函数,除具有隐函数的一般性质外,还可用于实体造型中的过渡及变形控制等.证明了用R-函数实现实体的布尔操作的可行性及Metaball模型在几何造型中能光滑过渡等性质. |
| 关键词: 隐函数曲面,布尔操作,R-函数,Metaball,过渡. |
| DOI： |
| 分类号: |
| 基金项目:本文研究得到国家自然科学基金和国家杰出青年基金资助. |
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| Boolean Operation for Implicit Function |
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YU Zheng-sheng,PENG Qun-sheng,MA Li-zhuang
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| Abstract: |
| When implicit surface is defined by equation f(x,y,z)=0, the object defined by the implicit function is the set of points which satisfy the inequation f(x,y,z)≥0. For the object, it's possible to do union, intersection and subtraction etc using R-function. As a special implicit function, the Metaball function can also be used in blend and deformation for solid modeling except the common properties of implicit function. It is proved that R-function can be used in Boolean operation of solid modeling and Metaball model can be used in the blending of shape. |
| Key words: Implicit surface, Boolean operation, R-function, Metaball, blend. |
