A Geometric Modeling Method Based on TH-Type Uniform B-Splines | Zendy

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A Geometric Modeling Method Based on TH-Type Uniform B-Splines

Author(s) -

Jin Xie

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/242469

Subject(s) - mathematics , polygon (computer graphics) , trigonometry , quadratic equation , type (biology) , trigonometric polynomial , quartic function , hyperbolic function , geometric modeling , polynomial , mathematical analysis , pure mathematics , geometry , computer science , telecommunications , ecology , frame (networking) , biology

A geometric modeling method based on TH-type uniform B-splines which are composed of trigonometric and hyperbolic polynomial with parameters is introduced in this paper. The new splines possess many important properties of quadratic and cubic B-splines. Taking different values of the parameters, one can not only locally adjust the shape of the curves, but also change the type of some segments of a curve between trigonometric and hyperbolic functions as well. The given curves can also interpolate directly control polygon locally by selecting special parameters. Moreover, the introduced splines can represent some quadratic curves and transcendental curves with selecting proper control points and parameters.

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