On Curvature of Color Spaces and Its Implications
2010 (English)In: CGIV 2010/MCS'10 5th European Conference on Colour in Graphics, Imaging, and Vision and 12th International Symposium on Multispectral Colour Science / [ed] Jussi Parkkinen, Timo Jääskeläinen, Theo Gevers, Alain Trémeau, Springfield, VA, USA: The Society for Imaging Science and Technology, 2010, 393-398 p.Conference paper (Refereed)
In this paper we discuss the role of curvature in the context of color spaces. Curvature is a differential geometric property of color spaces that has attracted less attention than other properties like the metric or geodesics. In this paper we argue that the curvature of a color space is important since curvature properties are essential in the construction of color coordinate systems. Only color spaces with negative or zero curvature everywhere allow the construction of Munsell-like coordinates with geodesics, shortest paths between two colors, that never intersect. In differential geometry such coordinate systems are known as Riemann coordinates and they are generalizations of the well-known polar coordinates. We investigate the properties of two measurement sets of just-noticeable-difference (jnd) ellipses and color coordinate systems constructed from them. We illustrate the role of curvature by investigating Riemann normal coordinates in CIELUV and CIELAB spaces. An algorithsm is also shown to build multipatch Riemann coordinates for spaces with the positive curvature.
Place, publisher, year, edition, pages
Springfield, VA, USA: The Society for Imaging Science and Technology, 2010. 393-398 p.
, European Conference on Colour in Graphics, Imaging, and Vision: Final programme and proceedings, ISSN 2158-6330 ; Vol . 5
Engineering and Technology Computer Vision and Robotics (Autonomous Systems)
IdentifiersURN: urn:nbn:se:liu:diva-57487ISBN: 978-0-89208-291-9OAI: oai:DiVA.org:liu-57487DiVA: diva2:325933
CGIV 2010/MCS'10 5th European Conference on Colour in Graphics, Imaging, and Vision and 12th International Symposium on Multispectral Colour Science, Joensuu, Finland, 14-17 June 2010