
Cortical Morphometry Analysis based on Worst Transportation Theory
Biomarkers play an important role in early detection and intervention in...
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Quadrilateral Mesh Generation III: Optimizing Singularity Configuration Based on AbelJacobi Theory
This work proposes a rigorous and practical algorithm for generating mer...
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AEOTGAN: Training GANs from data specific latent distribution
Though generative adversarial networks (GANs) areprominent models to gen...
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Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and AbelJacobi Condition
This work discovers the equivalence relation between quadrilateral meshe...
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Parallelizable global conformal parameterization of simplyconnected surfaces via partial welding
Conformal surface parameterization is useful in graphics, imaging and vi...
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Mode Collapse and Regularity of Optimal Transportation Maps
This work builds the connection between the regularity theory of optimal...
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Metric Based Quadrilateral Mesh Generation
This work proposes a novel metric based algorithm for quadrilateral mesh...
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Spherical Parameterization Balancing Angle and Area Distortions
This work presents a novel framework for spherical mesh parameterization...
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Corresponding Supine and Prone Colon Visualization Using Eigenfunction Analysis and Fold Modeling
We present a method for registration and visualization of corresponding ...
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LMap: ShapePreserving Local Mappings for Biomedical Visualization
Visualization of medical organs and biological structures is a challengi...
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Latent Space Optimal Transport for Generative Models
Variational AutoEncoders enforce their learned intermediate latentspac...
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Conformal Mesh Parameterization Using Discrete Calabi Flow
In this paper, we introduce discrete Calabi flow to the graphics researc...
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Robust EdgePreserved Surface Mesh Polycube Deformation
The problem of polycube construction or deformation is an essential prob...
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The Normal Map Based on AreaPreserving Parameterization
In this paper, we present an approach to enhance and improve the current...
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Classification of lung nodules in CT images based on Wasserstein distance in differential geometry
Lung nodules are commonly detected in screening for patients with a risk...
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Variational Wasserstein Clustering
We propose a new clustering method based on optimal transportation. We s...
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Brenier approach for optimal transportation between a quasidiscrete measure and a discrete measure
Correctly estimating the discrepancy between two data distributions has ...
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Decentralized Trajectory Tracking Using Homology and Hodge Decomposition in Sensor Networks
With the recent development of localization and tracking systems for bot...
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Registration of Volumetric Prostate Scans using Curvature Flow
Radiological imaging of the prostate is becoming more popular among rese...
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Kernel Estimation from Salient Structure for Robust Motion Deblurring
Blind image deblurring algorithms have been improving steadily in the pa...
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A Conformal Approach for Surface Inpainting
We address the problem of surface inpainting, which aims to fill in hole...
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Teichmüller extremal mapping and its applications to landmark matching registration
Registration, which aims to find an optimal 11 correspondence between s...
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Beltrami Representation and its applications to texture map and video compression
Surface parameterizations and registrations are important in computer gr...
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Computing Conformal Structure of Surfaces
This paper solves the problem of computing conformal structures of gener...
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Xianfeng Gu
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Associate Professor of Computer Science, Affiliate Professor of Applied Mathematics, State University of New York at Stony Brook