Interpolation and approximation of curves and surfaces using Pólya polynomials

Phillip J. Barry; Ronald N. Goldman

doi:10.1016/1049-9652(91)90057-Q

Interpolation and approximation of curves and surfaces using Pólya polynomials

Phillip J. Barry, Ronald N. Goldman

Computer Science and Engineering

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Abstract

A class of polynomial curves which is a generalization of the class of "Pólya curves" studied by R. Goldman [9-11] is introduced. This new scheme contains not only Bézier curves (of which Pólya curves are a generalization), but also Lagrange interpolating polynomials. Motives for studying this new class of curves are recounted and then the geometric properties of these curves are investigated. Surfaces are also briefly discussed.

Original language	English (US)
Pages (from-to)	137-148
Number of pages	12
Journal	CVGIP: Graphical Models and Image Processing
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/1049-9652(91)90057-Q
State	Published - Mar 1991

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Interpolation and approximation of curves and surfaces using Pólya polynomials

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