Gao, C, Xu, Y, Wang, Z et al. (5 more authors) (2017) Improved computation of the adaptation coefficient in the CIE system of mesopic photometry. Optics Express, 25 (15). pp. 18365-18377. ISSN 1094-4087
Abstract
New values of parameters a and b are proposed for the CIE system of mesopic photometry MES2 [CIE Publication 191:2010], because from the original values this model may have no solution or multi-solutions. From the new values of parameters a and b it is shown that the CIE MES2 system has a unique solution. The difference however, between the original and the new values of parameters a and b is very small and the changes do not affect previous conclusions based on the MES2 model. To compute such a solution, we propose a Bisection-Newton method which exhibits fast convergence (8 iterations in the worst case), and improves the fixed-point method recommended by the CIE MES2 system, which has convergence problems for high values of the photopic luminance and very high values of the scotopic/photopic ratio. Comparative results for the fixed-point method, the Bisection method, the Newton method, and the Bisection-Newton method, in terms of the number of iterations necessary for convergence and the computation time used, are reported.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Optical Society of America. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Design (Leeds) > Design Professorial Representative (Leeds) The University of Leeds > Faculty of Performance, Visual Arts and Communications (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Aug 2017 10:38 |
Last Modified: | 13 Jun 2020 09:56 |
Status: | Published |
Publisher: | Optical Society of America (OSA) |
Identification Number: | 10.1364/OE.25.018365 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:119719 |