DocumentCode :
2985168
Title :
A physics-based framework for subdivision surface design with automatic rules control
Author :
Xie, Hui ; Qin, Hong
Author_Institution :
Dept. of Comput. Sci., State Univ. of New York, Stony Brook, NY, USA
fYear :
2002
fDate :
2002
Firstpage :
304
Lastpage :
315
Abstract :
The recent non-uniform subdivision approach extends traditional uniform subdivision schemes with variable rules, offering additional shape parameters (such as knot spacings) for feature control. Despite its flexibility, shape modification based on non-uniform subdivision usually requires designers to interactively adjust a large number of degrees of freedom (DOFs) to achieve the desired shapes, which can often be laborious. This paper extends the principle of variational subdivision and integrates the non-uniform subdivision schemes with powerful physics-based shape sculpting techniques, providing a universal method for arbitrary subdivision schemes with adjustable rules. The subdivision control points and knot spacings evolve in response to the shape deformation resulting from the numerical integration of Lagrangian dynamics equation or the optimization of shape energy functional. Thus, our system allows users to manipulate the desired shape in a direct and intuitive fashion. In addition, we propose a novel and efficient discrete functional evaluation method for polygonal meshes or point clouds of arbitrary topology based on implicit functions, in which no parameterization is needed. Finally, we develop a simple prototype sculpting system demonstrating many advantages of our novel physics-based, non-uniform subdivision modeling system.
Keywords :
CAD; computational geometry; computer graphics; function evaluation; integration; mesh generation; splines (mathematics); CAD; Lagrangian dynamics equation; automatic rule control; computer graphics; degrees of freedom; functional evaluation method; nonuniform subdivision approach; numerical integration; physics-based shape sculpting techniques; polygonal meshes; shape deformation; shape energy functional optimization; subdivision surface design; uniform subdivision schemes; variable rules; variational subdivision; Aerodynamics; Animation; Automatic control; Clouds; Computer graphics; Computer science; Design automation; Equations; Shape control; Topology;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Graphics and Applications, 2002. Proceedings. 10th Pacific Conference on
Print_ISBN :
0-7695-1784-6
Type :
conf
DOI :
10.1109/PCCGA.2002.1167874
Filename :
1167874
Link To Document :
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