Xu, Y, Gao, C, Wang, Z et al. (3 more authors) (2022) Newton method for computing the adaptation coefficient in the CIE system of mesopic photometry. Color Research & Application, 47 (1). pp. 49-54. ISSN 0361-2317
Abstract
A study by Gao et al found that the Newton method may not converge for certain combinations of the photopic luminance and the ratio of scotopic and photopic luminance for computing the adaptation coefficient m, for the CIE MES2 system for mesopic photometry. Hence, they proposed to use the Bisection-Newton method. In this short note, we propose the Newton method with a new initial guess for computing m. Numerical simulation has shown the proposed method not only converges, but also converges faster than the Bisection-Newton method.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Wiley Periodicals LLC. This is the peer reviewed version of the following article: Xu, Y, Gao, C, Wang, Z et al. (3 more authors) (2022) Newton method for computing the adaptation coefficient in the CIE system of mesopic photometry. Color Research & Application, 47 (1). pp. 49-54. ISSN 0361-2317, which has been published in final form at https://doi.org/10.1002/col.22703. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | fixed-point iteration; MES2 system; mesopic vision; Newton method; photometry |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Jun 2021 11:07 |
Last Modified: | 19 Jul 2022 09:28 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/col.22703 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:175627 |