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Robust Geometry Kernel and UI for Handling Non-orientable 2-Mainfolds

Authors:
Wang, Yu
Technical Report Identifier: EECS-2016-65
May 12, 2016
EECS-2016-65.pdf

Abstract: This report describes the realization of a geometry kernel and user interface for the purpose of constructing parameterized 2-manifold surfaces, smoothing them with Catmull-Clark subdivision, and offsetting them to generate models that are physically realizable on rapid-prototyping machines. The main focus is to make these operations working robustly also on single-sided, non-orientable 2-manifold such as Möbius bands and Klein bottles. NOME, a language inspired by SLIDE to describe initial meshes in a structural hierarchical form, has been designed. An interactive user interface has been developed to design topologically complex 2-manifolds inspired by the sculptures created by Charles Perry and Eva Hilds.