A sinusoidal polynomial spline and its Bézier blended interpolant
type: Item
instance of: scholarly article
title: A sinusoidal polynomial spline and its Bézier blended interpolant
zbMATH Open document ID: 0857.65012
DOI: 10.1016/0377-0427(95)00241-3
author: Kia-Fock Loe
published in: Journal of Computational and Applied Mathematics
publication date: 1997-03-09T00:00:00Z
review text: A new class of interpolating splines, called sinusoidal splines, is introduced. Basic properties of these splines are discussed. By forming a strict convex combination of sinusoidal splines and Bézier splines the author shows that the blended splines can serve as a tool in curve design. Their behavior is similar to that of splines under tension. A generalization to tensor surfaces is briefly discussed.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 910324
zbMATH Keywords: interpolation
zbMATH Keywords: sinusoidal splines
zbMATH Keywords: Bézier splines
zbMATH Keywords: curve design
zbMATH Keywords: tensor surfaces
reviewed by: Edward Neuman
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00241-3
OpenAlex ID: W2027973624
cites work: Exponential and polynomial methods for applying tension to an interpolating spline curve
cites work: TRANSPLINE--A system for representing curves using transformations among four spline formulations
cites work: A practical guide to splines
cites work: Local control of interval tension using weighted splines
cites work: Interpolation with interval and point tension controls using cubic weighted v -splines
cites work: A rational cubic spline with tension
cites work: A locally controllable spline with tension for interactive curve design
cites work: Q3895980
cites work: An Interpolation Curve Using a Spline in Tension
description: scientific article; zbMATH DE number 910324