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PAMI
2011
13 years 19 days ago
Shape Analysis of Elastic Curves in Euclidean Spaces
—This paper introduces a square-root velocity (SRV) representation for analyzing shapes of curves in Euclidean spaces under an elastic metric. Due to this SRV representation the ...
Anuj Srivastava, Eric Klassen, Shantanu H. Joshi, ...
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 7 months ago
Uniqueness of models in persistent homology: the case of curves
We consider generic curves in R2 , i.e. generic C1 functions f : S1 R2 . We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In parti...
Patrizio Frosini, Claudia Landi
SIAMIS
2008
124views more  SIAMIS 2008»
13 years 9 months ago
Area Distances of Convex Plane Curves and Improper Affine Spheres
The area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. Th...
Marcos Craizer, Moacyr Alvim, Ralph Teixeira
GMP
2008
IEEE
153views Solid Modeling» more  GMP 2008»
14 years 4 months ago
A Revisit to Least Squares Orthogonal Distance Fitting of Parametric Curves and Surfaces
Fitting of data points by parametric curves and surfaces is demanded in many scientific fields. In this paper we review and analyze existing least squares orthogonal distance fi...
Yang Liu, Wenping Wang
GMP
2006
IEEE
161views Solid Modeling» more  GMP 2006»
14 years 3 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