2 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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-…
Topology-Aware Blending Method for Implicit Heterogeneous Porous Model Design
Depeng Gao, Yang Gao, Yuanzhi Zhang +1
Porous structures are materials consisting of minuscule pores, where the microstructure morphology significantly impacts their macroscopic properties. Integrating different porous…
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…
Persistent Homology-Driven Optimization of Effective Relative Density Range for Triply Periodic Minimal Surface
Gao Depeng, Zhang Yuanzhi, Lin Hongwei
Triply periodic minimal surfaces (TPMSs) play a vital role in the design of porous structures, with applications in bone tissue engineering, chemical engineering, and the creation…
Periodic Implicit Representation, Design and Optimization of Porous Structures Using Periodic B-splines
Gao Depeng, Gao Yang, Lin Hongwei
Porous structures are intricate solid materials with numerous small pores, extensively used in fields like medicine, chemical engineering, and aerospace. However, the design of suc…