Constructive shell representations for freeform surfaces and solids

Author

Menon, Jai P.

Author_Institution

IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA

Volume

14

Issue

2

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

24

Lastpage

36

Abstract

We usually model freeform surfaces (mathematically, 2D r-sets embedded in 3D Euclidean space E/sup 3/) as a finite union of patches represented in the traditional parametric or the recently developed algebraic forms. The article introduces a new representation scheme for freeform surfaces called constructive shell representation (CSR), that draws on recent research on algebraic patches. CSRs of surfaces that constitute boundaries of solids are very useful for solid modeling. They represent thick shells derived from freeform surfaces and provide a means to compute exact CSG representations of freeform solids.<>

Keywords

computational geometry; solid modelling; 2D r-sets; 3D Euclidean space; algebraic forms; algebraic patches; computational solid geometry; constructive shell representations; exact CSG representations; finite union; freeform solids; freeform surfaces; solid modeling; thick shells; Binary trees; Computational geometry; Embedded computing; Equations; Mathematical model; Polynomials; Shape control; Solid modeling; Thickness control; Weight control;

fLanguage

English

Journal_Title

Computer Graphics and Applications, IEEE

Publisher

ieee

ISSN

0272-1716

Type

jour

DOI

10.1109/38.267468

Filename

267468