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  • 1
    Electronic Resource
    Electronic Resource
    The generalized matrix product and the wavelet transform (1993)
    Springer
    Journal of mathematical imaging and vision 3 (1993), S. 95-104 
    Details
    ISSN: 1573-7683
    Keywords: Fourier—wavelet matrix expansion ; generalized matrix product ; p-product ; wavelet transform
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01248405
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The state of the Journal of Mathematical Imaging and Vision (1995)
    Springer
    Journal of mathematical imaging and vision 5 (1995), S. 5-5 
    Details
    ISSN: 1573-7683
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01250249
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The encoding of arbitrary two-dimensional geometric configurations (1981)
    Springer
    International journal of parallel programming 10 (1981), S. 1-25 
    Details
    ISSN: 1573-7640
    Keywords: Octagonal chain code ; digital topology ; oriented simplexes ; coherently oriented simplicial complexes ; triangulation ; simplicial sentence ; simplicial code
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00978375
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Cellular topology and its applications in image processing (1983)
    Springer
    International journal of parallel programming 12 (1983), S. 433-456 
    Details
    ISSN: 1573-7640
    Keywords: Cellular computers ; cellular automatons ; cellular topology ; Minkowski algebra ; neighborhood transform ; cellular image processing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper the interaction between Minkowski algebra, nondiscrete cellular topologies and some well known basic cellular image processing operations is investigated. It is shown that some useful topological measures can be extracted from these basic image operations and that these operations can be viewed from a nonalgebraic and purely topological point of view.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00977969
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    The generalized matrix product and its applications (1992)
    Springer
    Journal of mathematical imaging and vision 1 (1992), S. 201-213 
    Details
    ISSN: 1573-7683
    Keywords: matrix algebra ; image algebra ; Hadamard Transform ; image processing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00129875
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  • 6
    Electronic Resource
    Electronic Resource
    Fast Fourier Transform for Hexagonal Aggregates (2000)
    Springer
    Journal of mathematical imaging and vision 12 (2000), S. 183-197 
    Details
    ISSN: 1573-7683
    Keywords: hexagonal aggregates ; fast Fourier transforms ; generalized balanced ternary ; p-product ; algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008370531376
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  • 7
    Electronic Resource
    Electronic Resource
    Editorial (1995)
    Springer
    Journal of mathematical imaging and vision 5 (1995), S. 275-276 
    Details
    ISSN: 1573-7683
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01250283
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  • 8
    Electronic Resource
    Electronic Resource
    Editorial (1999)
    Springer
    Journal of mathematical imaging and vision 10 (1999), S. 5-5 
    Details
    ISSN: 1573-7683
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008364830498
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Editorial (1996)
    Springer
    Journal of mathematical imaging and vision 6 (1996), S. 5-5 
    Details
    ISSN: 1573-7683
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00127371
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Editorial: The third anniversary of the Journal of Mathematical Imaging and Vision (1994)
    Springer
    Journal of mathematical imaging and vision 4 (1994), S. V 
    Details
    ISSN: 1573-7683
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01250000
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