A method of bivariate interpolation and smooth surface fitting based on local procedures
Open Access
- 1 January 1974
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 17 (1), 18-20
- https://doi.org/10.1145/360767.360779
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.Keywords
This publication has 5 references indexed in Scilit:
- Algorithm 474: Bivariate interpolation and smooth surface fitting based on local procedures [E2]Communications of the ACM, 1974
- Algorithm 433: interpolation and smooth curve fitting based on local procedures [E2]Communications of the ACM, 1972
- A New Method of Interpolation and Smooth Curve Fitting Based on Local ProceduresJournal of the ACM, 1970
- Numerical CalculusPublished by Walter de Gruyter GmbH ,1949
- On Osculatory Interpolation, where the Given Values of the Function are at Unequal IntervalsJournal of the Institute of Actuaries, 1915