Polynomial Reproduction of Vector Subdivision Schemes
Joint Authors
Yuan, D. H.
Yang, S. Z.
Shen, Y. F.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We discuss the polynomial reproduction of vector subdivision schemes with general integer dilation m≥2.
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.
American Psychological Association (APA)
Shen, Y. F.& Yuan, D. H.& Yang, S. Z.. 2014. Polynomial Reproduction of Vector Subdivision Schemes. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013285
Modern Language Association (MLA)
Shen, Y. F.…[et al.]. Polynomial Reproduction of Vector Subdivision Schemes. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1013285
American Medical Association (AMA)
Shen, Y. F.& Yuan, D. H.& Yang, S. Z.. Polynomial Reproduction of Vector Subdivision Schemes. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013285