—Designing rotational symmetry fields on surfaces is an important task for a wide range of graphics applications. This work introduces a rigorous and practical approach for auto...
Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He 0001, ...
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
We consider the problem of learning a Riemannian metric associated with a given differentiable manifold and a set of points. Our approach to the problem involves choosing a metric...
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
In this paper, we first detail the geodesic matching of images which consists in minimizing an energy resulting from a Riemannian metric on a manifold of images, which itself come...
We wish to endow the manifold M of smooth curves in lRn with a Riemannian metric that allows us to treat continuous morphs (homotopies) between two curves c0 and c1 as trajectorie...
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
This paper shows how computational Riemannian manifold can be used to solve several problems in computer vision and graphics. Indeed, Voronoi segmentations and Delaunay graphs comp...