Treffer: The Gestalt computational model by persistent homology.

Title:
The Gestalt computational model by persistent homology.
Authors:
Chen Y; School of Mathematical Science, Zhejiang University, Hangzhou, 310058, China. Electronic address: chenyu.math@zju.edu.cn., Lin H; School of Mathematical Science, Zhejiang University, Hangzhou, 310058, China. Electronic address: hwlin@zju.edu.cn., Yan J; School of Mathematical Science, Zhejiang University, Hangzhou, 310058, China. Electronic address: jcyan@zju.edu.cn.
Source:
Vision research [Vision Res] 2025 Dec; Vol. 237, pp. 108697. Date of Electronic Publication: 2025 Sep 18.
Publication Type:
Journal Article
Language:
English
Journal Info:
Publisher: Elsevier Science Ltd Country of Publication: England NLM ID: 0417402 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1878-5646 (Electronic) Linking ISSN: 00426989 NLM ISO Abbreviation: Vision Res Subsets: MEDLINE
Imprint Name(s):
Publication: Kidlington, Oxford : Elsevier Science Ltd.
Original Publication: Oxford [etc.]
Contributed Indexing:
Keywords: Computational psychology; Computational topology; Gestalt principles; Persistent homology; Visual perception
Entry Date(s):
Date Created: 20250919 Date Completed: 20251120 Latest Revision: 20251120
Update Code:
20251121
DOI:
10.1016/j.visres.2025.108697
PMID:
40972346
Database:
MEDLINE

Weitere Informationen

As a classic theory in cognitive psychology, Gestalt theory elucidates basic principles in visual perception. However, the Gestalt principles are validated mainly by psychological experiments, lacking quantitative research supports and theoretical coherence. In this paper, we utilize persistent homology, a mathematical tool in computational topology, to develop a unified computational model for Gestalt principles, addressing the challenges of quantification and computation. This Gestalt computational model provides a quantitative approach to several key Gestalt principles, and it shows that these Gestalt principles can be uniformly calculated using persistent homology, thus developing a coherent theory for Gestalt principles in computation. Moreover, it is anticipated that the Gestalt computational model can serve as a significant computational model in the field of computational psychology, and help the understanding of human visual perception.
(Copyright © 2025 Elsevier Ltd. All rights reserved.)

Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.