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Construction of All Topologically Unique Quadrilateral Meshes: A Survey

Publication at Faculty of Mathematics and Physics |
2016

Abstract

Much of literature on polygonal representations focuses on quadrilateral meshes which are composed of quadrilaterals as they possess several advantages compared to triangle meshes. In this short contribution we present a survey of known methods for enumeration all topologically unique quadrangulations and we suggest new method for computing all unique quadrilateral meshes of a certain class based on sequential construction.