Shape-preserving approximation by space curves

DOI10.1023/A:1011895529998zbMath1079.65018OpenAlexW2346749234MaRDI QIDQ5948217

Francesca Pelosi, Paolo Giuseppe Costantini

Publication date: 31 October 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011895529998

zbMATH Keywords

splinesbest approximationdiscrete binormaldiscrete torsionshape-preservationtension property

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation with constraints (41A29) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

A biarc based subdivision scheme for space curve interpolation ⋮ A class of spline curves with four local shape parameters ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Shape preserving approximation by spatial cubic splines ⋮ Point data reconstruction and smoothing using cubic splines and clusterization ⋮ Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics ⋮ Locally optimal knots and tension parameters for exponential splines ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ New spline spaces with generalized tension properties

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