Abstract
We give a construction, for any n 2, of a space S of spline functions of degree n – 1 with simple knots in (1/4)Z which is generated by a triple of refinable, orthogonal functions with compact support. Indeed, the result holds more generally by replacing the B-spline of degree n – 1 with simple knots at the integers by any continuous refinable function whose mask is a Hurwitz polynomial of degree n. A simple construction is also given for the corresponding wavelets.
Original language | English |
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Pages (from-to) | 525-540 |
Number of pages | 16 |
Journal | Constructive Approximation |
Volume | 19 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2003 |
Keywords
- Wavelet
- Multiwavelet
- B-spline
- Orthogonal