—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, ...
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...
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...
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...
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