Next Article in Journal
Laplace Transform Homotopy Perturbation Method for the Two Dimensional Black Scholes Model with European Call Option
Previous Article in Journal
An Initial Condition Optimization Approach for Improving the Prediction Precision of a GM(1,1) Model
Previous Article in Special Issue
Global Modulus-Based Synchronous Multisplitting Multi-Parameters TOR Methods for Linear Complementarity Problems
Article Menu

Export Article

Open AccessArticle
Math. Comput. Appl. 2017, 22(1), 22; doi:10.3390/mca22010022

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

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
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)
View Full-Text   |   Download PDF [746 KB, uploaded 24 February 2017]   |  

Abstract

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
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top