Title
Spectral Matching Functions and Ellipse Mappings in Search for More Uniform Chromaticity and Color Spaces
Abstract
In this study, modifying the CIE xyz color matching functions was considered to achieve a more uniform chromaticity space. New color matching functions resulting both from the non-negative tensor factorization and from the optimization were combined with two ellipse mapping approaches. In both approaches the original MacAdam ellipses were mapped to the new space. The first mapping approach depended on the dominant wavelengths and the second one on the spectral information for the five points on the locus of each ellipse. Equal semiaxis lengths (a constant radius) and equal areas for the mapped MacAdam ellipses were the characteristics for the uniformity of the new chromaticity space. The new color matching functions were modelled with the non-uniform rational B-splines and the optimization modified the independent parameters, namely the control points, for NURBS. The cost function was based on the size and shape of the mapped MacAdam ellipses. NURBS were also utilized as a smoothing operator when the color matching functions were directly output from the optimization task. The results indicate that modified color matching functions yield in more uniform chromaticity space. There still remains uncertainty about the ellipse mapping approaches and formulation on the cost function in the optimization tasks.
Year
DOI
Venue
2010
10.1007/978-3-642-17688-3_9
ADVANCED CONCEPTS FOR INTELLIGENT VISION SYSTEMS, PT I
Keywords
Field
DocType
Uniform Chromaticity Space,Color Matching Functions,MacAdam Ellipses,Non-uniform Rational B-splines,Non-negative Tensor Factorization,Smoothing
Color space,Artificial intelligence,Operator (computer programming),Ellipse,Topology,Color histogram,Pattern recognition,Algorithm,Chromaticity,Smoothing,Tensor factorization,Spectral matching,Mathematics
Conference
Volume
ISSN
Citations 
6474
0302-9743
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Maryam Pahjehfouladgaran100.34
Arto Kaarna217427.50