Color & grayscale image representation using multivector

Clifford Algebra (CA) and its significance in a color image representation is discussed in this paper. Multivector in 3D space explains the representation of color & grayscale image following RGB color model. The colors are defined by the color blades in multivector. Gray value of a pixel is determined by grayscale vector in multivector form. Rotor operators are applied on different shades of color to obtain a new shade. Every color used in an image is mapped in Clifford color space. The gray values are also closed in it for respective color. The multivector function representing the image follows this color space. It stores an image either in form of color or gray value. The reduction of computational time for image processing is another concern of this paper. The color blade or grayscale vector represents itself as grade-k vector.