NDLI: Generating smooth surfaces with bicubic splines over triangular meshes: toward automatic model building from unorganized 3D points

Content Provider	IEEE Xplore Digital Library
Author	Ueshiba, T. Roth, G.
Copyright Year	1999
Description	Author affiliation: Div. of Intelligent Syst., Electrotech. Lab., Ibaraki, Japan (Ueshiba, T.)
Abstract	The paper presents an algorithm for constructing tangent plane continuous (G/sup 1/) surfaces with piecewise polynomials over triangular meshes. The input mesh can be of arbitrary topological type, that is, any number of faces can meet at a mesh vertex. The mesh is first refined to one solely with quadrilateral cells. Rectangular Bezier patches are then assigned to each of the cells and control points are determined so that G/sup 1/ continuity across the patch boundaries is maintained. Since all the patches are rectangular, the resulting surface can be rendered efficiently by current commercial graphic hardware/software. In addition, by exploiting the fact that all the faces of the original mesh are triangular, the degree of each patch is optimized to three while a more general method dealing with arbitrary irregular meshes requires biquartic patches. Several surface examples generated from real 3D data are shown.
Starting Page	302
Ending Page	311
File Size	216744
Page Count	10
File Format	PDF
ISBN	0769500625
DOI	10.1109/IM.1999.805360
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-10-08
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Surface reconstruction Spline Polynomials Graphics Hardware Design automation Shape Buildings Intelligent systems Intelligent structures
Content Type	Text
Resource Type	Article

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