On a Modified Durrmeyer-Bernstein Operator and Applications | Zendy

Germain Randriambelosoa | Zendy

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On a Modified Durrmeyer-Bernstein Operator and Applications

Author(s) -

Germain Randriambelosoa

Publication year - 2005

Publication title -

applied mathematics research express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.763

H-Index - 20

eISSN - 1687-1200

pISSN - 1687-1197

DOI - 10.1155/amrx.2005.169

Subject(s) - degree (music) , interpolation (computer graphics) , bézier curve , mathematics , set (abstract data type) , reduction (mathematics) , point (geometry) , combinatorics , algorithm , computer science , discrete mathematics , geometry , computer graphics (images) , physics , acoustics , programming language , animation

We present two applications of a modified Durrmeyer-Bernsteinoperator introduced by Goodman and Sharma. A new method isproposed achieving a “good” degree reduction of a Beziercurve with endpoint interpolation. A convenient algorithm will begiven providing an easy and practical method for computing thedegree reduced curve. Then, given a set of (r+1) points, weconstruct a degree n Bezier curve approximation within adistance O(n −1/2 ) from the given points, where n does notdepend on r.

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