Robust Geometry Kernel and UI for Handling Non-orientable 2-Mainfolds
Yu Wang
EECS Department, University of California, Berkeley
Technical Report No. UCB/EECS-2016-65
May 12, 2016
http://www2.eecs.berkeley.edu/Pubs/TechRpts/2016/EECS-2016-65.pdf
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.
Advisors: Carlo H. Séquin
BibTeX citation:
@mastersthesis{Wang:EECS-2016-65, Author= {Wang, Yu}, Title= {Robust Geometry Kernel and UI for Handling Non-orientable 2-Mainfolds}, School= {EECS Department, University of California, Berkeley}, Year= {2016}, Month= {May}, Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/2016/EECS-2016-65.html}, Number= {UCB/EECS-2016-65}, 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.}, }
EndNote citation:
%0 Thesis %A Wang, Yu %T Robust Geometry Kernel and UI for Handling Non-orientable 2-Mainfolds %I EECS Department, University of California, Berkeley %D 2016 %8 May 12 %@ UCB/EECS-2016-65 %U http://www2.eecs.berkeley.edu/Pubs/TechRpts/2016/EECS-2016-65.html %F Wang:EECS-2016-65