34 citations · 139 across the 19 of their papers we have counts for
19 papers
Global Parameterization-based Texture Space Optimization
Wei Chen, Yuxue Ren, Na Lei +2
Texture mapping is a common technology in the area of computer graphics, it maps the 3D surface space onto the 2D texture space. However, the loose texture space will reduce the ef…
What's the Situation with Intelligent Mesh Generation: A Survey and Perspectives
Na Lei, Zezeng Li, Zebin Xu +2
Intelligent Mesh Generation (IMG) represents a novel and promising field of research, utilizing machine learning techniques to generate meshes. Despite its relative infancy, IMG ha…
Global Consistent Point Cloud Registration Based on Lie-algebraic Cohomology
Yuxue Ren, Baowei Jiang, Wei Chen +2
We present a novel, effective method for global point cloud registration problems by geometric topology. Based on many point cloud pairwise registration methods (e.g ICP), we focus…
Efficient Optimal Transport Algorithm by Accelerated Gradient descent
Dongsheng An, Na Lei, Xianfeng Gu
Optimal transport (OT) plays an essential role in various areas like machine learning and deep learning. However, computing discrete optimal transport plan for large scale problems…
Cortical Morphometry Analysis based on Worst Transportation Theory
Min Zhang, Dongsheng An, Na Lei +5
Biomarkers play an important role in early detection and intervention in Alzheimer's disease (AD). However, obtaining effective biomarkers for AD is still a big challenge. In this…
Quadrilateral Mesh Generation III: Optimizing Singularity Configuration Based on Abel-Jacobi Theory
Xiaopeng Zheng, Yiming Zhu, Na Lei +2
This work proposes a rigorous and practical algorithm for generating meromorphic quartic differentials for the purpose of quad-mesh generation. The work is based on the Abel-Jacobi…
Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
Na Lei, Jisui Huang, Yuxue Ren +2
The auditory ossicles that are located in the middle ear are the smallest bones in the human body. Their damage will result in hearing loss. It is therefore important to be able to…
AE-OT-GAN: Training GANs from data specific latent distribution
Dongsheng An, Yang Guo, Min Zhang +4
Though generative adversarial networks (GANs) areprominent models to generate realistic and crisp images,they often encounter the mode collapse problems and arehard to train, which…
Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and Abel-Jacobi Condition
Na Lei, Xiaopeng Zheng, Zhongxuan Luo +2
This work discovers the equivalence relation between quadrilateral meshes and meromorphic quartic. Each quad-mesh induces a conformal structure of the surface, and a meromorphic di…
Mode Collapse and Regularity of Optimal Transportation Maps
Na Lei, Yang Guo, Dongsheng An +4
This work builds the connection between the regularity theory of optimal transportation map, Monge-Ampère equation and GANs, which gives a theoretic understanding of the major draw…
Metric Based Quadrilateral Mesh Generation
Wei Chen, Xiaopeng Zheng, Jingyao Ke +3
This work proposes a novel metric based algorithm for quadrilateral mesh generating. Each quad-mesh induces a Riemannian metric satisfying special conditions: the metric is a flat…
Latent Space Optimal Transport for Generative Models
Huidong Liu, Yang Guo, Na Lei +4
Variational Auto-Encoders enforce their learned intermediate latent-space data distribution to be a simple distribution, such as an isotropic Gaussian. However, this causes the pos…
Brain Morphometry Analysis with Surface Foliation Theory
Chengfeng Wen, Na Lei, Ming Ma +4
Brain morphometry study plays a fundamental role in neuroimaging research. In this work, we propose a novel method for brain surface morphometry analysis based on surface foliation…
The Normal Map Based on Area-Preserving Parameterization
Hui Zhao, Kehua Su, Ming Ma +3
In this paper, we present an approach to enhance and improve the current normal map rendering technique. Our algorithm is based on semi-discrete Optimal Mass Transportation (OMT) t…
Conformal Mesh Parameterization Using Discrete Calabi Flow
Hui Zhao, Xuan Li, Huabin Ge +2
In this paper, we introduce discrete Calabi flow to the graphics research community and present a novel conformal mesh parameterization algorithm. Calabi energy has a succinct and…
Robust Edge-Preserved Surface Mesh Polycube Deformation
Hui Zhao, Na Lei, Xuan Li +3
The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to d…
Geometric Understanding of Deep Learning
Na Lei, Zhongxuan Luo, Shing-Tung Yau +1
Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conv…
A Geometric View of Optimal Transportation and Generative Model
Na Lei, Kehua Su, Li Cui +2
In this work, we show the intrinsic relations between optimal transportation and convex geometry, especially the variational approach to solve Alexandrov problem: constructing a co…
Robot Coverage Path Planning for General Surfaces Using Quadratic Differentials
Yu-Yao Lin, Chien-Chun Ni, Na Lei +2
Robot Coverage Path planning (i.e., provide full coverage of a given domain by one or multiple robots) is a classical problem in the field of robotics and motion planning. The goal…