We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
We present a method to extract principal deformation modes from a set of articulated models describing the human spine. The spine was expressed as a set of rigid transforms that su...
Jonathan Boisvert, Xavier Pennec, Hubert Labelle, ...
In this paper, we describe an algorithm to measure the shape complexity for discrete approximations of planar curves in 2D images and manifold surfaces for 3D triangle meshes. We ...
Andreas Koschan, Besma Roui-Abidi, David L. Page, ...
We introduce a new 3D shape descriptor which maps the surface features onto an arbitrary template surface using mean-value interpolation. A compact numerical shape descriptor is e...
This paper presents a novel 3D shape descriptor "The Generalized Shape Distributions" for effective shape matching and analysis, by taking advantage of both local and gl...