Result: Quantifying the effect of a control point on the sign of curvature
Title:
Quantifying the effect of a control point on the sign of curvature
Authors:
Source:
Special issue on geometric modeling (Dagstuhl 2005)Computing (Wien. Print). 79(2-4):249-259
Publisher Information:
Wien: Springer, 2007.
Publication Year:
2007
Physical Description:
print, 11 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Approximations et développements, Approximations and expansions, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Approximation numérique, Numerical approximation, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Algorithme, Algorithm, Algoritmo, Analyse numérique, Numerical analysis, Análisis numérico, Approximation numérique, Numerical approximation, Aproximación numérica, Approximation spline, Spline approximation, Aproximación esplín, B spline, B splín, Calcul scientifique, Scientific computation, Computación científica, Courbe Bézier, Bézier curve, Curva Bézier, Courbure, Curvature, Curvatura, Méthode calcul, Computing method, Método cálculo, 41A15, 65D07, 65D17, 68U07.; Planar curves, control point, convexity, curvature, envelope, shape
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
National Technical University of Athens School of Naval Architecture and Marine Engineering Zografou Campus Iroon Polyterneiou 9, 15780 Zografou, Greece
ISSN:
0010-485X
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18791834
Database:
PASCAL Archive
Further Information
We present a method for computing the domain, where a control point is free to move so that the corresponding planar curve is regular and of constant sign of curvature along a subinterval of its parametric domain of definition. The approach encompasses all curve representations that adopt the control-point paradigm and is illustrated for a quintic Bézier curve and a B-spline curve of degree 10.