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.
Quaternion Discrete Cosine Transform and its Application in Color Template Matching
2008 Congress on Image and Signal Processing ; 2 ; 252-256
2008-05-01
1939983 byte
Conference paper
Electronic Resource
English
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