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» Robust adaptive polygonal approximation of implicit curves
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SIGGRAPH
1992
ACM
13 years 7 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
CGF
2002
110views more  CGF 2002»
13 years 3 months ago
Free-form sketching with variational implicit surfaces
With the advent of sketch-based methods for shape construction, there's a new degree of power available in the rapid creation of approximate shapes. Sketch [Zeleznik, 1996] s...
Olga A. Karpenko, John F. Hughes, Ramesh Raskar
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
13 years 8 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
SMA
2010
ACM
187views Solid Modeling» more  SMA 2010»
13 years 3 months ago
Polygonizing extremal surfaces with manifold guarantees
Extremal surfaces are a class of implicit surfaces that have been found useful in a variety of geometry reconstruction applications. Compared to iso-surfaces, extremal surfaces ar...
Ruosi Li, Lu Liu, Ly Phan, Sasakthi S. Abeysinghe,...
TVCG
1998
102views more  TVCG 1998»
13 years 3 months ago
Ray-Tracing Triangular Trimmed Free-Form Surfaces
This paper presents a new approach to rendering triangular algebraic free form surfaces. A hierarchical subdivision of the surface with associated tight bounding volumes provides ...
Wolfgang Stürzlinger