THERMAL SCIENCE

International Scientific Journal

Ling Lin

,

Ling Zhao

FABRIC COLOR FORMULATION USING A MODIFIED KUBELKA-MUNK THEORY CONSIDERING THERMAL EFFECT

ABSTRACT
The Kubelka-Munk function is simple but it ignores the film's thickness, so its applications are greatly limited. Though the exact relationship between the Kubelka-Munk function and the thickness can be derived from a differential model, it is too complex to be practically used. Here a modification is suggested by taking the thickness effect and the temperature effect into account, and the validity is widely enlarged. The modified Kubelka-Munk theory can be used as a color-matching model for colorful fabrics. If the porosity of the film is considered, a fractal modification with two-scale fractal derivative has to be adopted.
KEYWORDS
optical property, colorful fabrics, absorption coefficient, scattering coefficient, homotopy matching, porous film, two-scale fractal
PAPER SUBMITTED: 2021-12-12
PAPER REVISED: 2022-07-18
PAPER ACCEPTED: 2022-07-18
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303811L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE No. 3, PAGES [1811 - 1818]
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Fabric color formulation using a modified Kubelka-Munk theory considering thermal effect

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