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» Acute Triangulations of Polygons
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CCCG
2007
13 years 9 months ago
On the Fewest Nets Problem for Convex Polyhedra
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Val Pinciu
COMPGEOM
1999
ACM
14 years 5 hour ago
Folding Flat Silhouettes and Wrapping Polyhedral Packages: New Results in Computational Origami
We show a remarkable fact about folding paper: From a single rectangular sheet of paper, one can fold it into a flat origami that takes the (scaled) shape of any connected polygo...
Erik D. Demaine, Martin L. Demaine, Joseph S. B. M...
CGF
2010
132views more  CGF 2010»
13 years 7 months ago
Hybrid Booleans
In this paper we present a novel method to compute Boolean operations on polygonal meshes. Given a Boolean expression over an arbitrary number of input meshes we reliably and effi...
Darko Pavic, Marcel Campen, Leif Kobbelt
COMGEO
2006
ACM
13 years 7 months ago
On the sizes of Delaunay meshes
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H3 P ) of the size of any Dela...
Siu-Wing Cheng
IJRR
2002
129views more  IJRR 2002»
13 years 7 months ago
Deformable Free-Space Tilings for Kinetic Collision Detection
We present kinetic data structures for detecting collisions between a set of polygons that are moving continuously. Unlike classical collision detection methods that rely on bound...
Pankaj K. Agarwal, Julien Basch, Leonidas J. Guiba...