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GMP
2006
IEEE
161views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Tracking Point-Curve Critical Distances
This paper presents a novel approach to continuously and robustly tracking critical (geometrically, perpendicular and/or extremal) distances from a moving plane point p ∈ R2 to a...
Xianming Chen, Elaine Cohen, Richard F. Riesenfeld
SMA
2003
ACM
170views Solid Modeling» more  SMA 2003»
13 years 10 months ago
Contour generators of evolving implicit surfaces
The contour generator is an important visibility feature of a smooth object seen under parallel projection. It is the curve on the surface which seperates front-facing regions fro...
Simon Plantinga, Gert Vegter
SIAMIS
2011
13 years 8 days ago
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
We define a novel metric on the space of closed planar curves which decomposes into three intuitive components. According to this metric centroid translations, scale changes and ...
Ganesh Sundaramoorthi, Andrea Mennucci, Stefano So...
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
13 years 10 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
Angelos Mantzaflaris, Bernard Mourrain
SMA
2010
ACM
164views Solid Modeling» more  SMA 2010»
13 years 5 months ago
Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests
We present an algorithm which robustly computes the intersection curve(s) of an under-constrained piecewise polynomial system consisting of n equations with n + 1 unknowns. The so...
Michael Barton, Gershon Elber, Iddo Hanniel