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» Isotopic approximations and interval solids
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163
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CAD
2004
Springer
15 years 6 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
146
Voted
SMA
2003
ACM
132views Solid Modeling» more  SMA 2003»
15 years 11 months ago
Ambient isotopic approximations for surface reconstruction and interval solids
Takis Sakkalis, Thomas J. Peters
171
Voted
PG
1999
IEEE
15 years 10 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»
15 years 11 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
15 years 10 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