3 papers
math.OC2026
Persistent homology-based explicit topological control for 2D topology optimization with MMA
Gengchen Li, Depeng Gao, Wenliang Yin +1
Controlling structural complexity, particularly the number of holes, remains a fundamental challenge in topology optimization, with significant implications for both theoretical an…
math.NA2025
Collocation and Mass Matrix in Least-squares Isogeometric Analysis
Gengchen Li, Hongwei Lin
In this paper, we conduct a systematic numerical analysis of the spectral properties of the collocation and mass matrices in the isogeometric least-squares collocation method (IGA-…
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…