Advancement in color image processing using Geometric Algebra

This paper describes advancement in color image processing, using Geometric Algebra (GA). This is achieved using a compact representation of vectors within an n dimensional space. GA discussed here is a preferred framework for signal representation and image representation. In this context the R, G, B color channels are not defined separately but as a single entity. Therefore, the signal and image processing operations becomes straightforward and the algorithms intuitive due to the rich set of GA operators. From the experiments described in this paper, it is also possible to conclude that the convolution operation with the rotor masks within GA belong to a class of linear vector filters and can be applied to image or speech signals. The usefulness of the introduced approach has been demonstrated by analyzing and implementing two different types of edge detection schemes.