Color image processing using logarithmic operations

In this paper, we present a mathematical model for color image processing. It is a logarithmic one. We consider the cube (-1, 1)³ as the set of values for the color space. We define two operations: addition (+) and real scalar multiplication (×). With these operations the space of colors becomes a real vector space. Then defining the scalar product (.|.) and the norm || · ||, we obtain a (logarithmic) Euclidean space. We show how we can use this model for color image enhancement and we present some experimental results.