Open Access
2014 Polynomial Reproduction of Vector Subdivision Schemes
Y. F. Shen, D. H. Yuan, S. Z. Yang
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/104840


We discuss the polynomial reproduction of vector subdivision schemes with general integer dilation m2. We first present a simple algebraic condition for polynomial reproduction of such schemes with standard subdivision symbol. We then extend it to general subdivision symbol satisfying certain order of sum rules. We also illustrate our results with several examples. Our results show that such kind of scheme can produce exactly the same scalar polynomial from which the data is sampled by convolving with a finite nonzero sequence of vectors.


Download Citation

Y. F. Shen. D. H. Yuan. S. Z. Yang. "Polynomial Reproduction of Vector Subdivision Schemes." Abstr. Appl. Anal. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021744
MathSciNet: MR3232818
Digital Object Identifier: 10.1155/2014/104840

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top