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ZENODO
Article . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
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Weighted Shannon entropy as a quantitative measure of façade pattern regularity

Authors: Malewczyk, Michał;

Weighted Shannon entropy as a quantitative measure of façade pattern regularity

Abstract

The article presents an original measure of facade pattern regularity, SVE (Shannon-Variance-Entropy), based on weighted Shannon entropy, which aims to quantitatively describe the internal diversity of a composition. The analysis showed that simply taking into account the distance between elements does not improve the accuracy of the regularity description. The variance of element proportions and angular relationships proved to be key factors, significantly increasing the indicator's consistency with aesthetic perception. The best results were obtained for the composite measure SVEDAS, which combines all three components. This measure shows high consistency with expert assessments and effectiveness in the algorithmic generation of facade patterns. The use of the designated metric as a design parameter enables quantitative control of aesthetics, supporting sustainable design in line with SDG 11.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green