This paper presents a novel multiscale representation of one-dimensional signal based on complex analysis. We show that a signal and its derivative at different scales can be represented by one analytic function defined on the unit disc in the complex plane, which is called the Schwarz representation of a signal. This representation is applied to the matching problem. Using the theory of analytic functions, we are able to define the inverse of a signal. The matching function between two signals can be defined as the composition of one signal's Schwarz representation and another signal's inverse. The matching function determined by this method has a group structure and is close-formed.


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    Title :

    Schwarz representation for matching and similarity analysis


    Contributors:
    Qing Yang (author) / Song De Ma (author)


    Publication date :

    1998-01-01


    Size :

    526056 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Schwarz Representation for Matching and Similarity Analysis

    Yang, Q. / Song De Ma / IEEE; Computer Society | British Library Conference Proceedings | 1998