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» Isotopic approximations and interval solids
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CAD
2004
Springer
13 years 4 months ago
Isotopic approximations and interval solids
Given a nonsingular compact two-manifold F without boundary, we present methods for establishing a family of surfaces which can approximate F so that each approximant is ambient i...
Takis Sakkalis, Thomas J. Peters, Justin Bisceglio
PG
1999
IEEE
13 years 9 months ago
Boundary Determination for Trivariate Solids
The trivariate tensor-product B-spline solid is a direct extension of the B-spline patch and has been shown to be useful in the creation and visualization of free-form geometric s...
Kenneth I. Joy, Mark A. Duchaineau
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
13 years 9 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
Angelos Mantzaflaris, Bernard Mourrain
SIGGRAPH
1992
ACM
13 years 9 months ago
Interval analysis for computer graphics
This paper discusses how interval analysis can be used to solve a wide variety of problems in computer graphics. These problems include ray tracing, interference detection, polygo...
John M. Snyder