منابع مشابه
Multiresolutions numerically from subdivisions
In previous work we introduced a construction to produce multiresolutions from given subdivisions. A portion of that construction required solving bilinear equations using a symbolic algebra system. Here we replace the bilinear equations with a pair of linear equation systems, resulting in a completely numerical construction. Diagrammatic tools provide assistance in carrying this out. The const...
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In a previous work [1] we introduced a construction designed to produce biorthogonal multiresolutions from given subdivisions. This construction was formulated in matrix terms, which is appropriate for curves and tensor-product surfaces. For mesh surfaces of non-tensor connectivity, however, matrix notation is inconvenient. This work introduces diagrams and diagram interactions to replace matri...
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A comparison between several linear and nonlinear multiresolution algorithms for image color compression is presented. Some nonlinear techniques adapted to the presence of edges emerge as good alternatives to classical linear schemes. The numerical stability of the schemes is analyzed.
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In this paper, by combining the ideas of the recursive wavelets with second-generation wavelets, a family of recursive biorthogonal interpolating wavelets (RBIWs) is developed. RBIW’s have simple shape parameter vectors on each level, which allows a multichannel decomposition algorithm and provides a flexible structure for designing signal-adapted interpolating filter banks. In the single-level...
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Part 1 Cardinality of Sets 2 1. Our Purpose 2 2. Introduction 2 3. Notation 3 4. Basic Operations 3 5. Notation and definitions for classes of cardinal numbers 3 6. Basic properties of Cardinal Arithmetic 5 7. General Arithmetic Properties Of Transfinite Cardinals 5 7.1. Useful Special Cases 5 7.2. General Cases 5 8. Specific Arithmetic Relations 6 8.1. Cases involving א0 6 8.2. Cases involving...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1994
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1013