Quasi-interpolants with tension properties from and in CAGD

Authors:
C. Manni;F. Pelosi
Affiliations:
Department of Mathematics, University of Roma "Tor Vergata", via Della Ricerca Scientifica, Roma, Italy;Department of Pure and Applied Mathematics, University of Padova, via Belzoni, Padova, Italy
Venue:
Computing - Geometric modelling dagstuhl 2002
Year:
2004

Citing 5
Cited 1

Interpolation with exponential B-splines in tension

Geometric modelling
Fundamentals of computer aided geometric design

Fundamentals of computer aided geometric design
Shape preserving least-squares approximation by polynomial parametric spline curves

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Algorithms for shape preserving local approximation with automatic selection of tension parameters

Computer Aided Geometric Design
Some examples of quasi-interpolants constructed from local spline projectors

Mathematical Methods for Curves and Surfaces

Geometric construction of quintic parametric B-splines

Journal of Computational and Applied Mathematics

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Abstract

We present C2 quasi-interpolating schemes with tension properties. The B-splines like functions used in the quasi-interpolanting schemes are parametric cubic curves and their shape can be easily controlled via tension parameters which have an immediate geometric interpretation. Applications to the problem of approximation of curves with shape-constraints are discussed.