Shape spaces can be endowed with the structure of Riemannian manifolds; this allows one to compute, for example, Euler-Lagrange equations and geodesic distance for such spaces. Un...
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, ...
Abstract. Discrete distortion for two- and three-dimensional combinatorial manifolds is a discrete alternative to Ricci curvature known for differentiable manifolds. Here, we show ...
Mohammed Mostefa Mesmoudi, Leila De Floriani, Paol...
Matching and registration of shapes is a key issue in Computer Vision, Pattern Recognition, and Medical Image Analysis. This paper presents a shape representation framework based ...
—This paper introduces paper-strip sculptures, a physical mesh data-structure used to represent 2manifold mesh surfaces for understanding topological and geometrical aspects of s...