Chen's Reaserch Lab

Publications
Google Scholar        Research Gate

2024, 2023, 2022, 2021, 2020, 2019, earlier

2024

                     

	1. On the stability of the dimensions of spline spaces with highest order of smoothness over T-meshes Bingru Huang+, Falai Chen* Journal of Computational and Applied Mathematics, 2024.
	2. The Weighted Basis for PHT-Splines Zhiguo Yong+, Hongmei Kang, Falai Chen* Computer Modeling in Engineering & Sciences, 2024.
	3. Simultaneous Boundary and Interior Parameterization of Planar Domains Via Deep Learning Zheng Zhan+, Wenping Wang, Falai Chen* Computer-Aided Design, 2024.
	4. Topology optimization of differentiable microstructures Xiaoya Zhai+, Weiming Wang, Falai Chen, Jun Wu* Computer Methods in Applied Mechanics and Engineering, 2024.
	5. Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network Xiaoya Zhai+, Weiming Wang, Falai Chen* Computer Aided Geometric Design, 2024.
	6. Isogeometric Topology Optimization of Multi-patch Shell Structures Qiong Pan+, Xiaoya Zhai, Hongmei Kang, Xiaoxiao Du, Falai Chen* Computer-Aided Design, 2024.
	7. Topology Optimization of Self-supporting Structures for Additive Manufacturing via Implicit B-spline Representations Nan Zheng+, Xiaoya Zhai∗, Jingchao Jiang, Falai Chen Computer-Aided Design(SPM), 2024.

2023

                                 

	1. Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines Zepeng Wen+, Qiong Pan, Xiaoya Zhai*, Hongmei Kang*, Falai Chen arXiv preprint arXiv:2312.07889, 2023.
	2. Density-based isogeometric topology optimization of shell structures Qiong Pan+, Xiaoya Zhai*, Falai Chen arXiv preprint arXiv:2312.06378, 2023.
	3. Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants Kai Li+, Xiaohong Jia*, Falai Chen Computer Aided Geometric Design, 2023.
	4. Topological classification of the intersection curves of two quadrics using a set of discriminants Wenbing Shao+, Falai Chen* Computer Aided Geometric Design, 2023.
	5. \(G^1\)-smooth planar parameterization of complex domains for isogeometric analysis Maodong Pan+, Ruijie Zou, Weihua Tong, Yujie Guo, Falai Chen* Computer Methods in Applied Mechanics and Engineering, 2023.
	6. Isogeometric topology optimization of auxetic materials based on moving morphable components method Xiaoya Zhai+, Yundong Gai*, Liuchao Jin, Wei-Hsin Liao*, Falai Chen, Ping Hu Advanced Topics in Mechanics of Materials, Structures and Construction, 2023.
	7. A Spectral Segmentation Method for Large Meshes Xiaohan Bao+, Weihua Tong*, Falai Chen Communications in Mathematics and Statistics, 2023.
	8. Topology Optimization of Self-supporting Porous Structures Based on Triply Periodic Minimal Surfaces Nan Zheng+, Xiaoya Zhai*, Falai Chen Computer-Aided Design, 2023.
	9. Topologically Correct Intersection Curves of Two Trimmed Quadrics with Tolerance Control Wenbing Shao+, Falai Chen* Journal of Systems Sciences & Complexity, 2023.
	10. Boundary Correspondence for Iso-Geometric Analysis Based on Deep Learning Zheng Zhan+, Ye Zheng, Wenping Wang, Falai Chen* Communications in Mathematics and Statistics, 2023.
	11. An Algorithm to Compute the μ-Bases of Rational Parametric Surfaces with Respect to One Variable Bingru Huang+, Falai Chen* Communications in Mathematics and Statistics, 2023.

2022

                  

	1. Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis Ye Zheng+, Falai Chen* Computer Methods in Applied Mechanics and Engineering, 2022.
	2. Singularity Computation for Rational Parametric Surfaces Using Moving Planes Xiaohong Jia+, Falai Chen, Shanshan Yao ACM Transactions on Graphics (TOG), 2022.
	3. Constructing planar domain parameterization with HB-splines via quasi-conformal mapping Maodong Pan+, Falai Chen* Computer Aided Geometric Design, 2022.
	4. Robust Algebraic Curve Intersections with Tolerance Control Wenbing Shao+, Falai Chen*, Xuefeng Liu* Computer-Aided Design, 2022.
	5. Benchmarking spatial and single-cell transcriptomics integration methods for transcript distribution prediction and cell type deconvolution Bin Li+, Wen Zhang+, Chuang Guo+, Hao Xu, Longfei Li, Minghao Fang, Yinlei Hu, Xinye Zhang, Xinfeng Yao, Meifang Tang, Ke Liu, Xuetong Zhao, Jun Lin, Linzhao Cheng, Falai Chen, Kun Qu* Nature Methods, 2022.
	6. A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics Yisheng Lai+, Falai Chen*, Xiaoran Shi, Yu Gao Computer Aided Geometric Design, 2022.

2021

                  

	1. Volumetric boundary correspondence for isogeometric analysis based on unbalanced optimal transport Ye Zheng+, Falai Chen* Computer-Aided Design, 2021.
	2. Alternating optimization of design and stress for stress-constrained topology optimization Xiaoya Zhai+, Falai Chen*, Jun Wu Structural and Multidisciplinary Optimization, 2021.
	3. WEDGE: imputation of gene expression values from single-cell RNA-seq datasets using biased matrix decomposition Yinlei Hu+, Bin Li, Wen Zhang, Nianping Liu, Pengfei Cai, Falai Chen*, Kun Qu Briefings in Bioinformatics, 2021.
	4. Determinantal tensor product surfaces and the method of moving quadrics Laurent Busé+, Falai Chen* Transactions of the American Mathematical Society, 2021.
	5. Single-cell data clustering based on sparse optimization and low-rank matrix factorization Yinlei Hu+, Bin Li, Falai Chen*, Kun Qu, G3 Genes|Genomes|Genetics, 2021.
	6. Computing μ-Bases of Univariate Polynomial Matrices Using Polynomial Matrix Factorization Bingru Huang+, Falai Chen* Journal of Systems Science and Complexity, 2021.

2020

         

	1. Non‐uniform subdivision surfaces with sharp features Yufeng Tian+, Xin Li, Falai Chen* Computer Graphics Forum, 2020.
	2. Diamond Inclusion Reconstruction Zijian Yuan+, Yanzhi Song, Falai Chen*, Zhouwang Yang Communications in Mathematics and Statistics, 2020.
	3. Volumetric spline parameterization for isogeometric analysis Maodong Pan+, Falai Chen*, Weihua Tong Computer Methods in Applied Mechanics and Engineering, 2020.

2019

            

	1. Path planning of a type of porous structures for additive manufacturing Xiaoya Zhai+, Falai Chen* Computer-Aided Design, 2019.
	2. Boundary correspondence of planar domains for isogeometric analysis based on optimal mass transport Ye Zheng+, Falai Chen* Computer-Aided Design, 2019.
	3. Low-rank parameterization of volumetric domains for isogeometric analysis Maodong Pan+, Falai Chen* Computer-Aided Design, 2019.
	4. Implicitizing rational surfaces without base points by moving planes and moving quadrics Yisheng Lai+, Falai Chen*, Xiaoran Shi Computer Aided Geometric Design, 2019.