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Open AccessArticle

A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme

by 1,2, 1,* and 1
1
School of Mathematics, Hefei University of Technology, Hefei 230009, China
2
School of Computer and Information, Hefei University of Technology, Hefei 230009, China
*
Author to whom correspondence should be addressed.
Academic Editor: Chungang Zhu
Math. Comput. Appl. 2017, 22(1), 22; https://doi.org/10.3390/mca22010022
Received: 9 October 2016 / Revised: 10 January 2017 / Accepted: 13 February 2017 / Published: 24 February 2017
(This article belongs to the Special Issue Information and Computational Science)
In order to improve the flexibility of curves, a new five-point binary approximating subdivision scheme with two parameters is presented. The generating polynomial method is used to investigate the uniform convergence and C k -continuity of this scheme. In a special case, the five-point scheme changes into a four-point scheme, which can generate C 3 limit curves. The shape-preserving properties of the four-point scheme are analyzed, and a few examples are given to illustrate the efficiency and the shape-preserving effect of this special case. View Full-Text
Keywords: subdivision scheme; parameter; Ck-continuity; monotonicity preserving; convexity preserving subdivision scheme; parameter; Ck-continuity; monotonicity preserving; convexity preserving
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MDPI and ACS Style

Tan, J.; Wang, B.; Shi, J. A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme. Math. Comput. Appl. 2017, 22, 22.

AMA Style

Tan J, Wang B, Shi J. A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme. Mathematical and Computational Applications. 2017; 22(1):22.

Chicago/Turabian Style

Tan, Jieqing; Wang, Bo; Shi, Jun. 2017. "A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme" Math. Comput. Appl. 22, no. 1: 22.

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