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» Topology and arrangement computation of semi-algebraic plana...
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86
Voted
SMA
2005
ACM
119views Solid Modeling» more  SMA 2005»
15 years 5 months ago
Tightening: curvature-limiting morphological simplification
Given a planar set S of arbitrary topology and a radius r, we show how to construct an r-tightening of S, which is a set whose boundary has a radius of curvature everywhere greate...
Jason Williams, Jarek Rossignac
GMP
2006
IEEE
15 years 5 months ago
Simultaneous Precise Solutions to the Visibility Problem of Sculptured Models
Abstract. We present an efficient and robust algorithm for computing continuous visibility for two- or three-dimensional shapes whose boundaries are NURBS curves or surfaces by li...
Joon-Kyung Seong, Gershon Elber, Elaine Cohen
87
Voted
DIAGRAMS
2006
Springer
15 years 3 months ago
The Mathematics of Boundaries: A Beginning
The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorpor...
William Bricken
106
Voted
COMGEO
2010
ACM
14 years 11 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff
102
Voted
SMA
2006
ACM
101views Solid Modeling» more  SMA 2006»
15 years 5 months ago
A higher dimensional formulation for robust and interactive distance queries
We present an efficient and robust algorithm for computing the minimum distance between a point and freeform curve or surface by lifting the problem into a higher dimension. This...
Joon-Kyung Seong, David E. Johnson, Elaine Cohen