Color Space Axioms and Fiber Bundles

Abstract

In 1974, H. L. Resnkikoff published an inspiring paper about the use of differential geometry to study, among others, the intrinsic shape of the space of perceived colors and the Riemannian metrics on it. The mathematical techniques that he used is shared with modern theories of theoretical physics, which are far from being a common background for scientists in color vision and processing. Due to this, Resnikoff’s paper remained unnoticed for decades. In this brief contribution, some insights about how to update Resnikoff’s ideas will be given and discussed in relationship with a modern theory of color spaces and to the mathematical concept of principal fiber bundle.

Keywords

• Geometry of color spaces
• Principal fiber bundles
• Human perception
• Applications to perceived color distances.