Polynomial cubic splines with tension properties

P. Costantini; Panagiotis Kaklis; C. Manni

doi:10.1016/j.cagd.2010.06.007

Polynomial cubic splines with tension properties

P. Costantini, Panagiotis Kaklis, C. Manni

Naval Architecture, Ocean And Marine Engineering

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Abstract

In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM systems.

Original language	English
Pages (from-to)	592–610
Number of pages	19
Journal	Computer Aided Geometric Design
Volume	27
Issue number	8
Early online date	30 Jun 2010
DOIs	https://doi.org/10.1016/j.cagd.2010.06.007
Publication status	Published - Nov 2010

Keywords

polynomial splines
rational functions
subdivision schemes
e preservation
tension property

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10.1016/j.cagd.2010.06.007

Polynomial cubic splines Comp Aided Geometric DesignSubmitted manuscript, 605 KB

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title = "Polynomial cubic splines with tension properties",

abstract = "In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM systems.",

keywords = "polynomial splines, rational functions, subdivision schemes, e preservation, tension property",

author = "P. Costantini and Panagiotis Kaklis and C. Manni",

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AU - Kaklis, Panagiotis

AU - Manni, C.

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AB - In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM systems.

KW - polynomial splines

KW - rational functions

KW - subdivision schemes

KW - e preservation

KW - tension property

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DO - 10.1016/j.cagd.2010.06.007

M3 - Article

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SP - 592

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JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

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Polynomial cubic splines with tension properties

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