Osiris wavelets and Set wavelets
An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares. We refer to wavelets generated in this way as Set wavelets. We introduce a Set wavelet system whose...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04404070 |
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| Summary: | An alternative to Osiris wavelet systems is introduced in two
dimensions. The basic building blocks are continuous piecewise
linear functions supported on equilateral triangles instead of on
squares. We refer to wavelets generated in this way as Set
wavelets. We introduce a Set wavelet system whose homogeneous
mode density is 2/5. The system is not orthonormal, but we
derive a positive lower bound on the overlap matrix. |
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| ISSN: | 1110-757X 1687-0042 |