Add to ORKGAbstract. We present a constructive approach for approximating the conformal map (uniformization) of a polyhedral surface to a canonical domain in the plane. The main tool is a characterization of convex spaces of quasiconformal simplicial maps and their approximation properties. As far as we are aware, this is the first algorithm proved to approximate the uniformization of general polyhedral surfaces. 1
AbstractLet f0 be the conformal mapping of a given simply connected region R onto a disk D. It is kn...
We introduce a novel method for the construction of discrete conformal mappings from surface meshes ...
Abstract Conformal mapping, a classical topic in complex analysis and differential ge...
Our recent joint work with D. Gu established a discrete version of the uniformization theorem for co...
AbstractWe describe a means of computing the uniformizing conformal map from a triangulated surface ...
We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of d...
A discrete conformality for polyhedral metrics on surfaces is introduced in this paper which gen-era...
We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of d...
10.1016/j.comgeo.2006.10.003Computational Geometry: Theory and Applications392104-117CGOM
We introduce a notion of discrete-conformal equivalence of closed convex polyhedra in Euclidean 3-sp...
Abstract. This paper defines a theory of conformal parametrization of digital surfaces made of surfe...
We discuss several extensions and applications of the theory of discretely conformally equivalent tr...
3D surface classification is a fundamental problem in computer vision and computational geometry. Su...
3D surface classification is a fundamental problem in computer vision and computational geometry. Su...
Quasi-conformal maps have bounded conformal distortion, and are the natural extension of the conform...
AbstractLet f0 be the conformal mapping of a given simply connected region R onto a disk D. It is kn...
We introduce a novel method for the construction of discrete conformal mappings from surface meshes ...
Abstract Conformal mapping, a classical topic in complex analysis and differential ge...
Our recent joint work with D. Gu established a discrete version of the uniformization theorem for co...
AbstractWe describe a means of computing the uniformizing conformal map from a triangulated surface ...
We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of d...
A discrete conformality for polyhedral metrics on surfaces is introduced in this paper which gen-era...
We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of d...
10.1016/j.comgeo.2006.10.003Computational Geometry: Theory and Applications392104-117CGOM
We introduce a notion of discrete-conformal equivalence of closed convex polyhedra in Euclidean 3-sp...
Abstract. This paper defines a theory of conformal parametrization of digital surfaces made of surfe...
We discuss several extensions and applications of the theory of discretely conformally equivalent tr...
3D surface classification is a fundamental problem in computer vision and computational geometry. Su...
3D surface classification is a fundamental problem in computer vision and computational geometry. Su...
Quasi-conformal maps have bounded conformal distortion, and are the natural extension of the conform...
AbstractLet f0 be the conformal mapping of a given simply connected region R onto a disk D. It is kn...
We introduce a novel method for the construction of discrete conformal mappings from surface meshes ...
Abstract Conformal mapping, a classical topic in complex analysis and differential ge...