scholarly journals A Hermite interpolatory subdivision scheme for C2-quintics on the Powell–Sabin 12-split

2014 ◽  
Vol 31 (7-8) ◽  
pp. 464-474 ◽  
Author(s):  
Tom Lyche ◽  
Georg Muntingh
Keyword(s):  
Subdivision Scheme ◽  
Interpolatory Subdivision

scholarly journals Convexity preservation of the four-point interpolatory subdivision scheme

1999 ◽  
Vol 16 (8) ◽  
pp. 789-792 ◽  
Author(s):  
Nira Dyn ◽  
Frans Kuijt ◽  
David Levin ◽  
Ruud van Damme
Keyword(s):  
Subdivision Scheme ◽  
Interpolatory Subdivision

A 4-point interpolatory subdivision scheme for curve design

1987 ◽  
Vol 4 (4) ◽  
pp. 257-268 ◽  
Author(s):  
Nira Dyn ◽  
David Levin ◽  
John A. Gregory
Keyword(s):  
Subdivision Scheme ◽  
Curve Design ◽  
Interpolatory Subdivision

Fractal generation using ternary 5-point interpolatory subdivision scheme

2014 ◽  
Vol 234 ◽  
pp. 402-411 ◽  
Author(s):  
Shahid S. Siddiqi ◽  
Saima Siddiqui ◽  
Nadeem Ahmad
Keyword(s):  
Subdivision Scheme ◽  
Interpolatory Subdivision

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.

A Generalized Four Point Interpolatory Subdivision Scheme for Curve Design

2012 ◽  
Vol 586 ◽  
pp. 378-383
Author(s):  
Xin Fen Zhang
Keyword(s):  
Subdivision Scheme ◽  
Curve Design ◽  
Curve Interpolation ◽  
Interpolatory Subdivision

ßIn this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. We introduce serval parameters in the new scheme.When the parameter ß is taken as 0, the new scheme presented in this paper regresses to the initial four point subdivision scheme, and when ß→∞ , the new scheme is convexity preserving. With proper choices of the subdßivision parameters,it can overcome the shortcoming of the initial four point subdivision scheme proposed.

Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters

2007 ◽  
Vol 32 (5) ◽  
pp. 1838-1845 ◽  
Author(s):  
Hongchan Zheng ◽  
Zhenglin Ye ◽  
Zuoping Chen ◽  
Hongxing Zhao
Keyword(s):  
Subdivision Scheme ◽  
Two Parameters ◽  
Interpolatory Subdivision
Sign in / Sign up

Export Citation Format

Share Document