NDLI: Interpolation to $C^{1}$ boundary conditions by polynomial of degree six

Content Provider	IEEE Xplore Digital Library
Author	Caiming Zhang Feng Li Dongmei Niu Xingqiang Yang
Copyright Year	2009
Description	Author affiliation: School of Computer Science and Technology, Shandong University, Jinan, 250061, China (Caiming Zhang; Feng Li; Dongmei Niu; Xingqiang Yang)
Abstract	A new method for constructing triangular patches to pass the $C^{1}$ interpolation conditions (boundary curves and cross-boundary slopes), on the boundary of triangles is presented. The triangular patch is constructed by a basic triangular operator and an error triangular operator. The basic operator is a polynomial of degree six, which approximates the interpolation conditions with a higher approximation precision, while the error operator is constructed by the side-vertex method, which passes the $C^{1}$ error boundary conditions. The $C^{1}$ error boundary conditions are formed by the $C^{1}$ interpolation conditions minus the boundary curves and cross-boundary slopes taken from the basic operator. The basic operator and the error operator are put together to form the triangular patch. Comparison results of the new method with other two methods are included.
Starting Page	126
Ending Page	131
File Size	178287
Page Count	6
File Format	PDF
ISBN	9781424440696
DOI	10.1109/SMI.2009.5170173
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interpolation Polynomials Surface fitting Clouds Boundary conditions Computer science Shape Application software Computer errors Geometry polynomial infinite interpolation triangular patch
Content Type	Text
Resource Type	Article

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