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  • 1
    Electronic Resource
    Electronic Resource
    Convergence and Compactness Properties for a Family of 2-D Discontinuous Signals (2000)
    Springer
    Acta applicandae mathematicae 62 (2000), S. 131-153 
    Details
    ISSN: 1572-9036
    Keywords: two-dimensional discontinuous functions ; images ; edge detection ; compactness
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, convergence and compactness properties for sets of possibly discontinuous functions on ℝ2 are discussed. The issue appears to be relevant with respect to optimization and identification problems for 2-D images. Several convergence properties are provided and compared for a class of discontinuous 2-D functions with sufficiently regular discontinuity sets. Two sufficient compactness criteria are given; the first one extends to the 2-D case previously known results on the 1-D Skorohod topology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006427827192
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Optimization over Spaces of Discontinuous 2D Functions (2000)
    Springer
    Journal of optimization theory and applications 105 (2000), S. 277-283 
    Details
    ISSN: 1573-2878
    Keywords: Optimization ; 2D topology ; compactness ; image analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The existence of solution for optimization problems over a space of discontinuous 2D functions is addressed. The main result relies on the choice of a suitable topology making the feasible set compact. Application to image segmentation and/or identification problems is considered and robustness of the solution is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004653716850
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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