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cs.CG2025
Robust Model Reconstruction Based on the Topological Understanding of Point Clouds Using Persistent Homology
Yu Chen, Hongwei Lin
Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point c…
cs.CG2025
Analyzing Singular Patterns in Discrete Planar Vector Fields via Persistent Path Homology
Yu Chen, Hongwei Lin
Analyzing singular patterns in vector fields is a fundamental problem in theoretical and practical domains due to the ability of such patterns to detect the intrinsic characteristi…
cs.CG2024
The Gestalt Computational Model by Persistent Homology
Yu Chen, Hongwei Lin, Jiacong Yan
Widely employed in cognitive psychology, Gestalt theory elucidates basic principles in visual perception. However, the Gestalt principles are validated mainly by psychological expe…