Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets. (English) Zbl 0973.42030
The paper is concerned with the construction of symmetric and antisymmetric orthonormal multiwavelets which are useful for image compression.
These multiwavelets are obtained from scalar wavelets by two different methods. An explicit construction of these function systems is described and it is illustrated by some examples.
These multiwavelets are obtained from scalar wavelets by two different methods. An explicit construction of these function systems is described and it is illustrated by some examples.
Reviewer: Gerlind Plonka (Duisburg)
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 65T60 | Numerical methods for wavelets |
| 94A08 | Image processing (compression, reconstruction, etc.) in information and communication theory |
| 68U10 | Computing methodologies for image processing |
| 41A30 | Approximation by other special function classes |
Keywords:
symmetric multiwavelets; orthonormal multiwavelets; matrix refinement equation; image compressionReferences:
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