NDLI: Inversion Free and Topology Compatible Tetrahedral Mesh Warping Driven by Boundary Surface Deformation

Content Provider	IEEE Xplore Digital Library
Author	Wenjing Zhang Yuewen Ma Jianmin Zheng
Copyright Year	2013
Description	Author affiliation: Sch. of Comput. Eng., Nanyang Technol. Univ., Singapore, Singapore (Wenjing Zhang; Yuewen Ma; Jianmin Zheng)
Abstract	Warping a tetrahedral mesh driven by boundary surface deformation is useful in many applications. Although some methods have been developed to transform the mesh to conform to the deformed boundary surface, it is still a challenging problem to construct an inversion free warped mesh maintaining a compatible topology. In this paper, these two problems are solved by a novel method that combines radial basis function (RBF)-based warping and adaptive mesh refinement. We iteratively transform the mesh using RBF-based warping with a safe step size to ensure that no element is inverted. The use of the RBF-based warping ensures a smooth warping and thus generates a high-quality warped volumetric mesh. To avoid too small step sizes, we refine the elements that are potentially inverted. The refinement is performed on the original and the warped meshes in the same way so as to maintain compatible topology between them. The results of our method can be used in many areas such as finite element simulation and shape interpolation. We demonstrate the effectiveness of our method with a set of examples.
Starting Page	228
Ending Page	235
File Size	943493
Page Count	8
File Format	PDF
ISBN	9781479925766
DOI	10.1109/CADGraphics.2013.37
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-11-16
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	RBF-based mapping Solid modeling Design automation Tetrahedral mesh Computational modeling adaptive refinement inversion-free mesh Silicon Topology Trajectory Surface treatment
Content Type	Text
Resource Type	Article

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