DocumentCode :
1924804
Title :
A least-norm approach to flattenable mesh surface processing
Author :
Wang, Charlie C.L.
Author_Institution :
Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Hong Kong
fYear :
2008
fDate :
4-6 June 2008
Firstpage :
131
Lastpage :
138
Abstract :
Following the definition of developable surface in differential geometry, the flattenable mesh surface, a special type of piecewise- linear surface, inherits the good property of developable surface about having an isometric map from its 3D shape to a corresponding planar region. Different from the developable surfaces, a flattenable mesh surface is more flexible to model objects with complex shapes (e.g., cramped paper or warped leather with wrinkles). Modelling a flattenable mesh from a given input mesh surface can be completed under a constrained nonlinear optimization framework. In this paper, we reformulate the problem in terms of estimation error. Therefore, the shape of a flattenable mesh can be computed by the least-norm solutions faster. Moreover, the method for adding shape constraints to the modelling of flattenable mesh surfaces has been exploited. We show that the proposed method can compute flattenable mesh surfaces from input piecewise linear surfaces successfully and efficiently.
Keywords :
computer graphics; differential geometry; mesh generation; optimisation; differential geometry; flattenable mesh surface processing; nonlinear optimization; piecewise-linear surface; Footwear industry; Manufacturing industries; Metal product industries; Metals industry; Piecewise linear techniques; Shape; Shipbuilding industry; Solid modeling; Textile industry; Toy industry; I.3.5 [Computational Geometry and Object Modeling]: Curve surface, solid, and object representations—Physically based modeling; J.6 [COMPUTER-AIDED ENGINEERING]: Computer-aided design (CAD)—Computer-aided design (CAD);
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Shape Modeling and Applications, 2008. SMI 2008. IEEE International Conference on
Conference_Location :
Stony Brook, NY
Print_ISBN :
978-1-4244-2260-9
Electronic_ISBN :
978-1-4244-2261-6
Type :
conf
DOI :
10.1109/SMI.2008.4547959
Filename :
4547959
Link To Document :
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