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Vol. 215, Issue 8, August 2017, pp. 43-46

 

Bullet

 

Color Space Axioms and Fiber Bundles
 

Edoardo Provenzi

Laboratoire MAP5 (UMR CNRS 8145), Universite Paris Descartes 45 rue des Saints Peres, 75006, Paris, France

E-mail: edoardo.provenzi@parisdescartes.fr

 

Received: 1 June 2017 /Accepted: 7 August 2017 /Published: 31 August 2017

Digital Sensors and Sensor Sysstems

 

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.

 

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