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SIBGRAPI
2003
IEEE
13 years 10 months ago
Reliable Algorithms for Ray Intersection in Computer Graphics Based on Interval Arithmetic
J. F. Sanjuan-Estrada, Leocadio G. Casado, Inmacul...
SIBGRAPI
1999
IEEE
13 years 9 months ago
Interval Methods for Ray Casting Implicit Surfaces with Affine Arithmetic
We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of inte...
Affonso de Cusatis Junior, Luiz Henrique de Figuei...
DAGSTUHL
2003
13 years 6 months ago
Reliable Distance and Intersection Computation Using Finite Precision Geometry
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...
Katja Bühler, Eva Dyllong, Wolfram Luther
DAGSTUHL
2010
13 years 6 months ago
CSG Operations of Arbitrary Primitives with Interval Arithmetic and Real-Time Ray Casting
We apply Knoll et al.'s algorithm [9] to interactively ray-cast constructive solid geometry (CSG) objects of arbitrary primitives represented as implicit functions. Whereas m...
Younis Hijazi, Aaron Knoll, Mathias Schott, Andrew...
DGCI
2005
Springer
13 years 10 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte