Abstract
Template decomposition is important in image processing algorithm optimization and parallel image processing. In this paper a template decomposition technique based on the factorization of max-polynomials is presented. A morphological template may be represented by a max-polynomial, a notation used in combinatorial optimization. The problem of decomposition of a morphological template is thus reduced to the problem of factorization of the corresponding max-polynomial. A sufficient condition for decomposing a one-dimensional morphological template into a set of two-point templates is established. Once the condition is satisfied, the construction of the decomposition is straightforward. A general procedure is also given for testing whether such a decomposition exists for an arbitrary one-dimensional morphological template.
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Li, D. Morphological template decomposition with max-polynomials. J Math Imaging Vis 1, 215–221 (1992). https://doi.org/10.1007/BF00129876
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DOI: https://doi.org/10.1007/BF00129876