隐函数的布尔操作  

Boolean Operation for Implicit Function

作　　者：余正生[1] 彭群生[1] 马利庄[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室

出　　处：《软件学报》1998年第9期699-702,共4页Journal of Software

基　　金：国家自然科学基金;国家杰出青年基金

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Ｍｅｔａｂａｌ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Ｍｅｔａ－ｂａｌ模型在几何造型中能光滑过渡等性质．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.

关 键 词：隐函数曲面 布尔操作 CAD 实体造型 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]