Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface | Zendy

Xinru Liu | Zendy; Yuanpeng Zhu | Zendy; Shengjun Liu | Zendy

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Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface

Author(s) -

Xinru Liu,

Yuanpeng Zhu,

Shengjun Liu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/987076

Subject(s) - monotonic function , mathematics , bicubic interpolation , surface (topology) , interpolation (computer graphics) , spline interpolation , spline (mechanical) , mathematical analysis , domain (mathematical analysis) , geometry , bilinear interpolation , computer science , artificial intelligence , image (mathematics) , structural engineering , statistics , engineering

A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively

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