Paper Info
Title
Using Semi-Implicit Representation of Algebraic Surfaces
Abstract
In [3] we introduced a new general representation of algebraicsurfaces, that we called semi-implicit, which encapsulatesboth usual and less known surfaces. Here we specializethis notion in order to apply it in Solid Modeling: weview a surface in 驴^3 as a one-parameter (algebraic) familyof algebraic low-degree curves. The paper mainly addressesthe topic of performing the usual CAD operationswith semi-implicit representation of surfaces.We derive formulaefor computing the normal and the curvatures at a regularpoint. We provide exact algorithms for computing selfintersectionsof a surface and more generally its singularlocus.We also present some surface/surface intersection algorithmsrelying on generalized resultant calculations.
Year
DOI
Venue
2004
10.1109/SMI.2004.65
SMI
Keywords
Field
DocType
usual cad operationswith semi-implicit,new general representation,surface intersection,semi-implicit representation,algebraic surfaces,generalized resultant calculation,addressesthe topic,known surface,exact algorithm,solid modeling,level set,shape,curve fitting,gold,design automation,polynomials,computational geometry,cad,interpolation,computer aided design
CAD,Discrete mathematics,Algebraic number,Algebra,Curve fitting,Surface fitting,Solid modelling,Algebraic surface,Solid modeling,Mathematics
Conference
ISBN
Citations 
PageRank 
0-7695-2075-8
0
0.34
References 
Authors
6
2
Name
Order
Citations
PageRank
Laurent Busé113114.74
André Galligo2535.92