A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme
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 -continuity of this scheme. In a special case, the five-point scheme changes into a four-point scheme, which can generate 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
▼
Show Figures
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
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 StyleTan, 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.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.