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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.