NDLI: Robust tessellation of trimmed rational B-spline surface patches

Content Provider	IEEE Xplore Digital Library
Author	Wonjoon Cho Maekawa, T. Patrikalakis, N.M. Peraire, J.
Copyright Year	1998
Description	Author affiliation: Dept. of Ocean Eng., MIT, Cambridge, MA, USA (Wonjoon Cho)
Abstract	We present an unstructured triangular mesh generation algorithm that approximates a set of mutually non-intersecting simple trimmed rational B-spline surface patches within a user specified geometric tolerance. The proposed method uses numerically robust interval geometric representations/computations and also addresses the problem of topological consistency (homeomorphism) between the exact geometry and its approximation. Those are among the most important outstanding issues in geometry approximation problems. Our surface tessellation algorithm is based on the unstructured Delaunay mesh approach which leads to an efficient adaptive triangulation. A robust decision criterion is utilized to prevent possible failures in the conventional Delaunay triangulation. To satisfy the prescribed geometric tolerance, an adaptive node insertion algorithm is employed. Unstructured triangular meshes for free-form surfaces frequently involve triangles with high aspect ratio and accordingly, result in ill-conditioned meshing. Our proposed algorithm constructs 2D triangulation domains which sufficiently preserve the shape of triangles when mapped into 2D space and furthermore, the algorithm provides an efficient method that explicitly controls the aspect ratio of the triangular elements.
Starting Page	543
Ending Page	555
File Size	1091062
Page Count	13
File Format	PDF
ISBN	0818684453
DOI	10.1109/CGI.1998.694308
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-06-26
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Spline Piecewise linear approximation Geometry Sea surface Mesh generation Solid modeling Laboratories Shape control Fabrication
Content Type	Text
Resource Type	Article

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