A Survey on Discrete Laplacians for General Polygonal Meshes

The Laplace Beltrami operator is one of the essential tools in geometric processing. It allows us to solve numerous partial differential equations on discrete surface meshes, which a fundamental building block many computer graphics applications. Discrete Laplacians are typically limited standard elements like triangles or quadrilaterals, severely constrains tessellation mesh. But recent years, several approaches were able generalize and its closely related gradient divergence operators more general meshes. This artists engineers work with wider range sometimes required beneficial their field. paper discusses different constructions these three ubiquitous arbitrary polygons analyzes individual advantages properties common