Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2
We provide a sufficient condition for constructing a class of compactly supported refinable functions with componentwise polynomial property in ℝ2. An iteration algorithm is developed to compute the polynomial on each component of the functions' support. Finally, two examples for constructing t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/321428 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552390470926336 |
|---|---|
| author | Yanmei Xue Ning Bi |
| author_facet | Yanmei Xue Ning Bi |
| author_sort | Yanmei Xue |
| collection | DOAJ |
| description | We provide a sufficient condition for constructing a class of
compactly supported refinable functions with componentwise polynomial property in ℝ2. An iteration algorithm is developed to compute the polynomial on each component of the functions' support. Finally, two examples for constructing the symmetric refinable componentwise polynomial functions are given. |
| format | Article |
| id | doaj-art-cb110cb8d420484fb031116dc5c01a23 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cb110cb8d420484fb031116dc5c01a232025-02-03T05:58:48ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/321428321428Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2Yanmei Xue0Ning Bi1School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, ChinaSchool of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, ChinaWe provide a sufficient condition for constructing a class of compactly supported refinable functions with componentwise polynomial property in ℝ2. An iteration algorithm is developed to compute the polynomial on each component of the functions' support. Finally, two examples for constructing the symmetric refinable componentwise polynomial functions are given.http://dx.doi.org/10.1155/2011/321428 |
| spellingShingle | Yanmei Xue Ning Bi Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 Abstract and Applied Analysis |
| title | Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 |
| title_full | Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 |
| title_fullStr | Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 |
| title_full_unstemmed | Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 |
| title_short | Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2 |
| title_sort | construction of compactly supported refinable componentwise polynomial functions in r2 |
| url | http://dx.doi.org/10.1155/2011/321428 |
| work_keys_str_mv | AT yanmeixue constructionofcompactlysupportedrefinablecomponentwisepolynomialfunctionsinr2 AT ningbi constructionofcompactlysupportedrefinablecomponentwisepolynomialfunctionsinr2 |