Mathematical limitations of the CIE mesopic photometry system

Maksim Shpak (Corresponding Author), Petri Kärhä, Erkki Ikonen

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

The International Commission on Illumination (CIE) has published a recommended system for mesopic photometry based on visual performance. The system provides means for determining mesopic photometric values based on measuring the spectral composition and intensity of light. The system uses an iterative calculation method. We investigate the conditions under which this system is applicable and identify potential problems with the iterative method. We show that the system works well for the vast majority of lighting applications. However, it has non-convergence and discontinuity issues for sources with very high and very low values of scotopic-photopic ratio. A set of parameterised formulae is presented that approximates the mesopic model and provides a continuous, closed-form solution for the adaptation level in all lighting conditions.

Original languageEnglish
Pages (from-to)111-121
Number of pages11
JournalLighting Research and Technology
Volume49
Issue number1
DOIs
Publication statusPublished - 1 Feb 2017
MoE publication typeA1 Journal article-refereed

Fingerprint

Photometry
Lighting
Iterative methods
Chemical analysis

Keywords

  • photometry
  • mesopic
  • vision

Cite this

Shpak, Maksim ; Kärhä, Petri ; Ikonen, Erkki. / Mathematical limitations of the CIE mesopic photometry system. In: Lighting Research and Technology. 2017 ; Vol. 49, No. 1. pp. 111-121.
@article{5356424479ac4c18a7735d7cd28fea77,
title = "Mathematical limitations of the CIE mesopic photometry system",
abstract = "The International Commission on Illumination (CIE) has published a recommended system for mesopic photometry based on visual performance. The system provides means for determining mesopic photometric values based on measuring the spectral composition and intensity of light. The system uses an iterative calculation method. We investigate the conditions under which this system is applicable and identify potential problems with the iterative method. We show that the system works well for the vast majority of lighting applications. However, it has non-convergence and discontinuity issues for sources with very high and very low values of scotopic-photopic ratio. A set of parameterised formulae is presented that approximates the mesopic model and provides a continuous, closed-form solution for the adaptation level in all lighting conditions.",
keywords = "photometry, mesopic, vision",
author = "Maksim Shpak and Petri K{\"a}rh{\"a} and Erkki Ikonen",
note = "LIS: Tilastoitu 2015 ISI: CONSTRUCTION & BUILDING TECHNOLOGY",
year = "2017",
month = "2",
day = "1",
doi = "10.1177/1477153515599436",
language = "English",
volume = "49",
pages = "111--121",
journal = "Lighting Research and Technology",
issn = "1477-1535",
publisher = "SAGE Publications",
number = "1",

}

Mathematical limitations of the CIE mesopic photometry system. / Shpak, Maksim (Corresponding Author); Kärhä, Petri; Ikonen, Erkki.

In: Lighting Research and Technology, Vol. 49, No. 1, 01.02.2017, p. 111-121.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Mathematical limitations of the CIE mesopic photometry system

AU - Shpak, Maksim

AU - Kärhä, Petri

AU - Ikonen, Erkki

N1 - LIS: Tilastoitu 2015 ISI: CONSTRUCTION & BUILDING TECHNOLOGY

PY - 2017/2/1

Y1 - 2017/2/1

N2 - The International Commission on Illumination (CIE) has published a recommended system for mesopic photometry based on visual performance. The system provides means for determining mesopic photometric values based on measuring the spectral composition and intensity of light. The system uses an iterative calculation method. We investigate the conditions under which this system is applicable and identify potential problems with the iterative method. We show that the system works well for the vast majority of lighting applications. However, it has non-convergence and discontinuity issues for sources with very high and very low values of scotopic-photopic ratio. A set of parameterised formulae is presented that approximates the mesopic model and provides a continuous, closed-form solution for the adaptation level in all lighting conditions.

AB - The International Commission on Illumination (CIE) has published a recommended system for mesopic photometry based on visual performance. The system provides means for determining mesopic photometric values based on measuring the spectral composition and intensity of light. The system uses an iterative calculation method. We investigate the conditions under which this system is applicable and identify potential problems with the iterative method. We show that the system works well for the vast majority of lighting applications. However, it has non-convergence and discontinuity issues for sources with very high and very low values of scotopic-photopic ratio. A set of parameterised formulae is presented that approximates the mesopic model and provides a continuous, closed-form solution for the adaptation level in all lighting conditions.

KW - photometry

KW - mesopic

KW - vision

UR - http://www.scopus.com/inward/record.url?scp=85011574058&partnerID=8YFLogxK

U2 - 10.1177/1477153515599436

DO - 10.1177/1477153515599436

M3 - Article

VL - 49

SP - 111

EP - 121

JO - Lighting Research and Technology

JF - Lighting Research and Technology

SN - 1477-1535

IS - 1

ER -