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» Graph-Theoretic Solutions to Computational Geometry Problems
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TOG
2008
127views more  TOG 2008»
13 years 7 months ago
Freeform surfaces from single curved panels
Motivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-d...
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, H...
SIGGRAPH
1992
ACM
13 years 11 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
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
COMPGEOM
2011
ACM
12 years 11 months ago
Deconstructing approximate offsets
We consider the offset-deconstruction problem: Given a polygonal shape Q with n vertices, can it be expressed, up to a tolerance ε in Hausdorff distance, as the Minkowski sum o...
Eric Berberich, Dan Halperin, Michael Kerber, Roza...
TOG
2008
137views more  TOG 2008»
13 years 7 months ago
Efficient traversal of mesh edges using adjacency primitives
Processing of mesh edges lies at the core of many advanced realtime rendering techniques, ranging from shadow and silhouette computations, to motion blur and fur rendering. We pre...
Pedro V. Sander, Diego Nehab, Eden Chlamtac, Hugue...