A first‐order blending method for triangles based upon cubic interpolation | Zendy

Nielson Gregory M. | Zendy

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A first‐order blending method for triangles based upon cubic interpolation

Author(s) -

Nielson Gregory M.

Publication year - 1980

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620150214

Subject(s) - cubic function , interpolation (computer graphics) , monotone cubic interpolation , bivariate analysis , mathematics , cubic form , boundary (topology) , position (finance) , order (exchange) , domain (mathematical analysis) , bicubic interpolation , mathematical analysis , geometry , polynomial , linear interpolation , computer science , computer graphics (images) , statistics , animation , finance , economics

A new method for interpolating in triangles is described. Bivariate cubic polynomials are utilized to define an interpolant which assumes arbitrary position and slope on the entire boundary of a triangular domain. Some examples and applications are discussed.

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