Multichannel image processing using vector-angle ranking

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Abstract
Vector directional filters (VDF) for multichannel image processing are introduced and analyzed in this paper. These filters separate the processing of vector-valued signals into the directional processing and the magnitude processing. This provides a link between single- channel image processing, where only magnitude processing is essentially performed, and multichannel image processing where both the direction and the magnitude of the image vectors play an important role in the resulting (processed) image. The intuitive motivation behind VDF is explained and properties of these filters are derived. It is shown that many similar properties with the vector median filter (VMF) exist. The specific case of color image filtering is studied as an important example of multichannel image processing. It is shown that VDF can achieve very good filtering results for various noise source models.

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