Trigonometric Coons Patch with Shape Parameters

Chun Xie; Jun Cheng Li; Yue E Zhong; Lian Yang; Chun Ying Liu

doi:10.4028/www.scientific.net/AMR.482-484.595

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 482-484Trigonometric Coons Patch with Shape Parameters

Trigonometric Coons Patch with Shape Parameters

Abstract:

A trigonometric polynomial Coons patch analogous to the standard bicubic Coons patch, with two shape parameters, is presented in this work. The proposeded patch not only has the same properites to the standard bicubic Coons patch, but also can be adjusted by altering values of the shape parameters when the interpolation conditions are fixed. Given proper conditions, the proposed patch can accurately represent torus and ellipsoid.

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Periodical:

Advanced Materials Research (Volumes 482-484)

Pages:

595-598

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.482-484.595

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Online since:

February 2012

Authors:

Chun Xie, Jun Cheng Li, Yue E Zhong, Lian Yang, Chun Ying Liu

Keywords:

Computer Aided Geometric Design, Coons Patch, Shape Parameters, Trigonometric Hermite Basis Functions

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