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  • 1
    Digitale Medien
    Digitale Medien
    Springer
    International journal of parallel programming 10 (1981), S. 1-25 
    ISSN: 1573-7640
    Schlagwort(e): Octagonal chain code ; digital topology ; oriented simplexes ; coherently oriented simplicial complexes ; triangulation ; simplicial sentence ; simplicial code
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik
    Notizen: Abstract A procedure is proposed which uses some basic aspects of topology for the description and encoding of arbitrary solid two-dimensional configurations. It is shown that the procedure is closely related to the octagonal chain encoding scheme for arbitrary curves. In fact, the method is shown to exhibit many of the relatively simple and hence powerful manipulative properties of the octagonal chain code. Because of its simplicity it can be most readily utilized with presentday computing equipment.
    Materialart: Digitale Medien
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 12 (2000), S. 183-197 
    ISSN: 1573-7683
    Schlagwort(e): hexagonal aggregates ; fast Fourier transforms ; generalized balanced ternary ; p-product ; algorithm
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Hexagonal aggregates are hierarchical arrangements of hexagonal cells. These hexagonal cells may be efficiently addressed using a scheme known as generalized balanced ternary for dimension 2, or GBT2. The objects of interest in this paper are digital images whose domains are hexagonal aggregates. We define a discrete Fourier transform (DFT) for such images. The main result of this paper is a radix-7, decimation-in-space fast Fourier transform (FFT) for images defined on hexagonal aggregates. The algorithm has complexity N log7 N. It is expressed in terms of the p-product, a generalization of matrix multiplication. Data reordering (also known as shuffle permutations) is generally associated with FFT algorithms. However, use of the p-product makes data reordering unnecessary.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 5 (1995), S. 275-276 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 1 (1992), S. 201-213 
    ISSN: 1573-7683
    Schlagwort(e): matrix algebra ; image algebra ; Hadamard Transform ; image processing
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper we develop the notion of a generalized matrix product that includes in its formulation the common matrix and vector products of linear algebra. After defining the generalized matrix product and investigating some of its properties, we provide some specific examples of its use in image processing.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 6 (1996), S. 5-5 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 4 (1994), S. V 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 7 (1997), S. 5-5 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 8
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 10 (1999), S. 5-5 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 9
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 3 (1993), S. 95-104 
    ISSN: 1573-7683
    Schlagwort(e): Fourier—wavelet matrix expansion ; generalized matrix product ; p-product ; wavelet transform
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper provides a new formulation of wavelet transforms in terms of generalized matrix products. After defining the generalized matrix product, a fast algorithm using parallelism for compactly supported wavelet transforms that satisfym-scale scaling equations form ≥ 2 is established. Several special examples, such as the Fourier-wavelet matrix expansion and wavelet decompositions and reconstructions, that demonstrate that the new formulation and algorithm offer unique advantages over existing wavelet algorithms are provided.
    Materialart: Digitale Medien
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  • 10
    Digitale Medien
    Digitale Medien
    Springer
    Journal of mathematical imaging and vision 5 (1995), S. 5-5 
    ISSN: 1573-7683
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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