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Group theoretical structure of spectral spaces
Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
Department of Optics University of Granada.
2005 (English)In: Journal of Mathematical Imaging and Vision, ISSN 0924-9907, E-ISSN 1573-7683, Vol. 23, no 3, 297-313 p.Article in journal (Refereed) Published
Abstract [en]

It is known that for every selection of illumination spectra there is a coordinate system such that all coordinate vectors of these illumination spectra are located in a cone. A natural set of transformations of this cone are the Lorentz transformations. In this paper we investigate if sequences of illumination spectra can be described by one-parameter subgroups of Lorentz-transformations. We present two methods to estimate the parameters of such a curve from a set of coordinate points. We also use an optimization technique to approximate a given set of points by a one-parameter curve with a minimum approximation error. In the experimental part of the paper we investigate series of blackbody radiators and sequences of measured daylight spectra and show that one-parameter curves provide good approximations for large sequences of illumination spectra. © 2005 Springer Science + Business Media, Inc.

Place, publisher, year, edition, pages
2005. Vol. 23, no 3, 297-313 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-29178DOI: 10.1007/s10851-005-0485-5Local ID: 14450OAI: oai:DiVA.org:liu-29178DiVA: diva2:249990
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2016-08-31

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Lenz, ReinerBui, Hai Thanh

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