2026-06-07T17:25:29Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/602762023-08-25T16:08:22Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Carreño Sánchez, Fernando
author
Zoido Chamorro, Jesús Manuel
2023-06-20T20:26:18Z
2023-06-20T20:26:18Z
1999-01-01
1559-128X
10.1364/AO.38.000208
https://hdl.handle.net/20.500.14352/60276
https://doi.org/10.1364/AO.38.000208
https://www.osapublishing.org/ao/abstract.cfm?uri=ao-38-1-208#Abstract
By assuming that color matches are normally distributed in XYZ space, we present a rigorous statistical technique to obtain regions of equally noticeable chromaticity differences. The probability density function of color matches in (x, y, Y) space is calculated according to standard techniques in probability theory. The geometry of the chromaticity thresholds is computed for various confidence levels α. Because of the asymmetry of the probability density function in (x, y, Y) space, the chromaticity thresholds are not symmetrical around the color center. The asymmetries depend on the color center, and they increase when high confidence levels (α < 0.32) are considered. It is our opinion that the technique proposed here can provide a useful tool for checking and evaluating deviations from the elliptic geometry of the chromaticity thresholds. It is formally demonstrated that regions of equally noticeable chromaticity differences are not ellipses when the normality hypothesis is assumed in XYZ space.
eng
Statistics of color-matching experimental data
journal article
URL
https://docta.ucm.es/bitstreams/6363275b-5234-4ee1-b3b5-732822013e49/download
File
MD5
ded227110f26734d2629b57ad86b9cf6
187094
application/pdf
Zoido_Statistics-Apl Optcs-OSA-1999.pdf
URL
https://docta.ucm.es/bitstreams/79fc931d-1e3c-4bb4-b2f0-c4e90abab67f/download
File
MD5
62a897ce2e2fffe0207e42f0b89acb7b
51908
text/plain
Zoido_Statistics-Apl Optcs-OSA-1999.pdf.txt