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» Focal surfaces of discrete geometry
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DGCI
2005
Springer
14 years 1 months ago
Reversible Polygonalization of a 3D Planar Discrete Curve: Application on Discrete Surfaces
Abstract. Reversible polyhedral modelling of discrete objects is an important issue to handle those objects. We propose a new algorithm to compute a polygonal face from a discrete ...
Isabelle Sivignon, Florent Dupont, Jean-Marc Chass...
COMPGEOM
1995
ACM
13 years 11 months ago
Representation and Computation of Boolean Combinations of Sculptured Models
We outline an algorithm and implementation of a system that computes Boolean combinations of sculptured solids. We represent the surface of the solids in terms of trimmed and untr...
Shankar Krishnan, Atul Narkhede, Dinesh Manocha
COMPGEOM
2005
ACM
13 years 9 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
COMPGEOM
2006
ACM
14 years 1 months ago
Splitting (complicated) surfaces is hard
Erin W. Chambers, Éric Colin de Verdi&egrav...
COMPGEOM
2007
ACM
13 years 11 months ago
Inflating the cube by shrinking
We present a continuous submetric deformation of the surface of the cube which increases the enclosed volume by about 25.67%. Categories and Subject Descriptors: I.3.5 [Computatio...
Kevin Buchin, André Schulz