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In systems that support multi-sided faces, polygons and faces are equivalent. However, most rendering hardware supports only 3- or 4-sided faces, so polygons are represented as multiple faces. Mathematically a polygonal mesh may be considered an unstructured grid , or undirected graph, with additional properties of geometry, shape and topology.
Polygon Mesh Processing by Mario Botsch et al. is a textbook on the topic of Geometry Processing. [1]Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of complex 3D models.
A polygon mesh of a dolphin In 3D computer graphics , polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes . Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics .
MeshLab is a 3D mesh processing software system that is oriented to the management and processing of unstructured large meshes and provides a set of tools for editing, cleaning, healing, inspecting, rendering, and converting these kinds of meshes.
The mesh is used for finite element analysis. [citation needed] The mesh of a surface is usually generated per individual faces and edges (approximated to polylines) so that original limit vertices are included into mesh. To ensure that approximation of the original surface suits the needs of further processing, three basic parameters are ...
MeshLab an open source mesh processing tool that is able to accurately simplify 3D polygonal meshes. Polygon Cruncher a commercial software from Mootools that reduces the number of polygons of objects without changing their appearance. Simplygon a commercial mesh processing package for remeshing general input meshes into real-time renderable ...