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Fast generation of 3D deformable moving surfaces.

You, L.H. and Zhang, J. J., 2003. Fast generation of 3D deformable moving surfaces. IEEE Transactions on Systems Man and Cybernetics - Part B: Cybernetics, 33 (4), 616-625.

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DOI: 10.1109/TSMCB.2003.814283


Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

Item Type:Article
Uncontrolled Keywords:Dynamic partial differential equations, dynamic surface modeling, 3-D deformable moving surfaces
Group:Faculty of Media & Communication
ID Code:1284
Deposited On:29 Sep 2007
Last Modified:14 Mar 2022 13:07


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