Saturation of an interpolatory polynomial operator

1986 ◽  
Vol 47 (3-4) ◽  
pp. 333-340 ◽  
Author(s):  
A. K. Varma ◽  
P. Vértesi
Keyword(s):  
Polynomial Operator ◽  
Interpolatory Polynomial

Trace formula for polynomial operator pencils and its applications

1992 ◽  
Vol 25 (4) ◽  
pp. 306-308 ◽  
Author(s):  
K. Kh. Boimatov ◽  
A. G. Kostyuchenko
Keyword(s):  
Trace Formula ◽  
Polynomial Operator ◽  
Operator Pencils

An Improved Four Point Interpolatory Subdivision Scheme

2013 ◽  
Vol 380-384 ◽  
pp. 1555-1557
Author(s):  
Xin Fen Zhang ◽  
Yu Zhen Liu
Keyword(s):  
Chord Length ◽  
Subdivision Scheme ◽  
Shape Preserving ◽  
Curve Interpolation ◽  
Interpolatory Polynomial ◽  
Interpolatory Subdivision

In this paper we propose a new kind of geometry driven subdivision scheme for curve interpolation. We use cubic Lagrange interpolatory polynomial to construct a new point, selecting parameters by accumulated chord length method. The new scheme is shape preserving. It can overcome the shortcoming of the initial four point subdivision scheme proposed.

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