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AFRIGRAPH
2004
ACM
14 years 1 months ago
Interactive ray tracing of free-form surfaces
Even though the speed of software ray tracing has recently been increased to interactive performance even on standard PCs, these systems usually only supported triangles as geomet...
Carsten Benthin, Ingo Wald, Philipp Slusallek
TOG
2002
116views more  TOG 2002»
13 years 7 months ago
Linear combination of transformations
Geometric transformations are most commonly represented as square matrices in computer graphics. Following simple geometric arguments we derive a natural and geometrically meaning...
Marc Alexa
SMA
2009
ACM
223views Solid Modeling» more  SMA 2009»
14 years 2 months ago
Particle-based forecast mechanism for continuous collision detection in deformable environments
Collision detection in geometrically complex scenes is crucial in physical simulations and real time applications. Works based on spatial hierarchical structures have been propose...
Thomas Jund, David Cazier, Jean-François Du...
VC
2008
102views more  VC 2008»
13 years 7 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
CORR
2008
Springer
76views Education» more  CORR 2008»
13 years 7 months ago
Succinct Geometric Indexes Supporting Point Location Queries
We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that support geometric queries in optimal time, by taking adv...
Prosenjit Bose, Eric Y. Chen, Meng He, Anil Mahesh...