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

Zheng Zhan+, Wenping 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(SPM), 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.

8. Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines

Zepeng Wen+, Qiong Pan, Xiaoya Zhai*, Hongmei Kang*, Falai Chen

Computers & Structures, 2024.

9. Density-based isogeometric topology optimization of shell structures

Qiong Pan+, Xiaoya Zhai*, Falai Chen

Computer-Aided Design, 2024.

10. Tailored Functionally Graded Materials design and concurrent topology optimization with implicit fields

Lingfeng Li+, Qiong Pan, Xiaoya Zhai*, Falai Chen

Computer Methods in Applied Mechanics and Engineering, 2024.

11. Benchmarking algorithms for single-cell multi-omics prediction and integration

Yinlei Hu+, Siyuan Wan+, Yuanhanyu Luo+, Yuanzhe Li, Tong Wu, Wentao Deng, Chen Jiang, Shan Jiang, Yueping Zhang, Nianping Liu, Zongcheng Yang, Falai Chen*, Bin Li*, Kun Qu*

Nature Methods, 2024.

2023

                           
1. 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.

2. Topological classification of the intersection curves of two quadrics using a set of discriminants

Wenbing Shao+, Falai Chen*

Computer Aided Geometric Design, 2023.

3. \(G^1\)-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.

4. 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.

5. A Spectral Segmentation Method for Large Meshes

Xiaohan Bao+, Weihua Tong*, Falai Chen

Communications in Mathematics and Statistics, 2023.

6. Topology Optimization of Self-supporting Porous Structures Based on Triply Periodic Minimal Surfaces

Nan Zheng+, Xiaoya Zhai*, Falai Chen

Computer-Aided Design, 2023.

7. Topologically Correct Intersection Curves of Two Trimmed Quadrics with Tolerance Control

Wenbing Shao+, Falai Chen*

Journal of Systems Sciences & Complexity, 2023.

8. Boundary Correspondence for Iso-Geometric Analysis Based on Deep Learning

Zheng Zhan+, Ye Zheng, Wenping Wang, Falai Chen*

Communications in Mathematics and Statistics, 2023.

9. 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.