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Principal Fiber Bundles and Geometry of Color Spaces

Authors:
Edoardo Provenzi

Keywords: Geometry of Color Spaces; Principal Fiber Bundles; Human Perception; Applications to Perceived Color Distances.

Abstract:
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 moder theory of color spaces and to the mathematical concept of principal fiber bundle.

Pages: 6 to 7

Copyright: Copyright (c) IARIA, 2017

Publication date: May 21, 2017

Published in: conference

ISSN: 2519-8432

ISBN: 978-1-61208-559-3

Location: Barcelona, Spain

Dates: from May 21, 2017 to May 25, 2017