TY - GEN A1 - Bobenko, Alexander I. A1 - Springborn, Boris A. T1 - A discrete Laplace-Beltrami operator for simplicial surfaces N2 - We define a discrete Laplace-Beltrami operator for simplicial surfaces. It depends only on the intrinsic geometry of the surface and its edge weights are positive. Our Laplace operator is similar to the one defined by Pinkall and Polthier (the so called “cotan formula”) except that it is based on the intrinsic Delaunay triangulation of the simplicial surface. This leads to new definitions of discrete harmonic and holomorphic functions, discrete mean curvature, and discrete minimal surfaces. KW - Laplace operator KW - Delaunay triangulation KW - Dirichlet energy KW - simplicial surfaces KW - discrete differential geometry Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/303 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3032 ER -