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» Envelope surfaces
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COMPGEOM
2006
ACM
13 years 10 months ago
Envelope surfaces
We construct a class of envelope surfaces in Rd , more precisely envelopes of balls. An envelope surface is a closed C1 (tangent continuous) manifold wrapping tightly around the u...
Nico Kruithof, Gert Vegter
JSC
2010
86views more  JSC 2010»
12 years 11 months ago
Rational two-parameter families of spheres and rational offset surfaces
The present paper investigates two-parameter families of spheres in R3 and their corresponding two-dimensional surfaces in R4 . Considering a rational surface in R4 , the envelo...
Martin Peternell
CCCG
2010
13 years 6 months ago
On degeneracy of lower envelopes of algebraic surfaces
We analyze degeneracy of lower envelopes of algebraic surfaces. We focus on the cases omitted in the existing complexity analysis of lower envelopes [Halperin and Sharir 1993], an...
Kimikazu Kato
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 8 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch
SMA
2009
ACM
130views Solid Modeling» more  SMA 2009»
13 years 11 months ago
A symbolic-numerical envelope algorithm using quadratic MOS patches
In this paper, we describe an algorithm for generating an exact rational envelope of a two-parameter family of spheres given by a quadratic patch in R3,1 , which is considered as ...
Bohumír Bastl, Jirí Kosinka, Mirosla...