Quaternions are the extension of complex numbers and have proved to be a very useful tool for digital color image processing. In this paper, we extend the discrete cosine transform (DCT) to the quaternion field and propose a simple but efficient algorithm to calculate the quaternion discrete cosine transform (QDCT) of a quaternion matrix using its Cayley-Dickson form. Since a color image can be represented by a quaternion matrix, we can apply our novel QDCT to the field of color template matching. Rather than separating a color image into three channel images and processing them respectively as the traditional methods, QDCT can handle color image pixels as vectors and process them in a holistic manner. Experimental results have shown the effectiveness and the promising application future of the proposed QDCT.


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    Titel :

    Quaternion Discrete Cosine Transform and its Application in Color Template Matching


    Beteiligte:
    Feng, Wei (Autor:in) / Hu, Bo (Autor:in)


    Erscheinungsdatum :

    2008-05-01


    Format / Umfang :

    1939983 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





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