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» Acute Triangulations of Polygons
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CCCG
2007
15 years 1 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
15 years 4 months 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»
14 years 12 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
14 years 11 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»
14 years 11 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...