Please use this identifier to cite or link to this item:
|Title:||Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions|
|Authors:||Ji, H. |
|Keywords:||Interpolatory subdivision scheme wavelets|
|Citation:||Ji, H.,Shen, Z. (1999). Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions. Advances in Computational Mathematics 11 (1) : 81-104. ScholarBank@NUS Repository.|
|Abstract:||This paper provides several constructions of compactly supported wavelets generated by interpolatory refinable functions. It was shown in  that there is no real compactly supported orthonormal symmetric dyadic refinable function, except the trivial case; and also shown in [10, 18] that there is no compactly supported interpolatory orthonormal dyadic refinable function. Hence, for the dyadic dilation case, compactly supported wavelets generated by interpolatory refinable functions have to be biorthogonal wavelets. The key step to construct the biorthogonal wavelets is to construct a compactly supported dual function for a given interpolatory refinable function. We provide two explicit iterative constructions of such dual functions with desired regularity. When the dilation factors are larger than 3, we provide several examples of compactly supported interpolatory orthonormal symmetric refinable functions from a general method. This leads to several examples of orthogonal symmetric (anti-symmetric) wavelets generated by interpolatory refinable functions.|
|Source Title:||Advances in Computational Mathematics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 19, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.