RELATIVITY AND CONTRAST ENHANCEMENT
Abstract: In this paper we present a novel mathematical model for color image processing. The proposed algebraic
structure is based on a special mapping of color vectors into the space of bi-quaternions (quaternions with
complex coefficients) inspired by the theory of relativity. By this transformation, the space of color vectors re-
mains close under scalar multiplication and addition and limited by an upper and lower bounds. The proposed
approach is therefore terms Cages Image Processing (KIP). We demonstrate the usability of the new model
by a color image enhancement algorithm. The proposed enhancement algorithm prevents information loss
caused by color saturation which is an artifact of the Logarithmic Image Processing (LIP) approach. Experi-
mental results on synthetic and natural images comparing the proposed algorithm to the LIP based algorithm
are provided.
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