A method of bivariate interpolation and smooth surface fitting based on local procedures

Authors:
Hiroshi Akima
Affiliations:
U.S. Dept. of Commerce, Boulder, CO
Venue:
Communications of the ACM
Year:
1974

Citing 4
Cited 5

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Introduction to numerical analysis: 2nd edition
A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

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Bivariate interpolation and smooth surface fitting based on local procedures

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Discrete smooth interpolation

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Bivariate interpolation and smooth surface fitting based on local procedures

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Generation of interpolation surfaces with the least strain energy using dynamic programming

Mathematical and Computer Modelling: An International Journal

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Abstract

A method is designed for interpolating values given at points of a rectangular grid in a plane by a smooth bivariate function z = z(x, y). The interpolating function is a bicubic polynomial in each cell of the rectangular grid. Emphasis is on avoiding excessive undulation between given grid points. The proposed method is an extension of the method of univariate interpolation developed earlier by the author and is likewise based on local procedures.