NDLI: Shape preserving polynomial curves

Content Provider	Springer Nature Link
Author	Derriennic, Marie Madeleine
Copyright Year	2004
Abstract	We introduce particular systems of functions and study the properties of the associated Bézier-type curve for families of data points in the real affine space. The systems of functions are defined with the help of some linear and positive operators, which have specific properties: total positivity, nullity diminishing property and which are similar to the Bernstein polynomial operator. When the operators are polynomial, the curves are polynomial and their degrees are independent of the number of data points. Examples built with classical polynomial operators give algebraic curves written with the Jacobi polynomials, and trigonometric curves if the first and the last data points are identical.
Starting Page	273
Ending Page	292
Page Count	20
File Format	PDF
ISSN	10197168
Journal	Advances in Computational Mathematics
Volume Number	20
Issue Number	4
e-ISSN	15729044
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2004-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theory of Computation Numeric Computing Mathematics Algebra Calculus of Variations and Optimal Control Optimization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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Shape preserving polynomial curves