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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 Abel-Jacobi Theory
This work proposes a rigorous and practical algorithm for generating mer...
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Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
The auditory ossicles that are located in the middle ear are the smalles...
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AE-OT-GAN: 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 Abel-Jacobi Condition
This work discovers the equivalence relation between quadrilateral meshe...
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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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Latent Space Optimal Transport for Generative Models
Variational Auto-Encoders enforce their learned intermediate latent-spac...
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Brain Morphometry Analysis with Surface Foliation Theory
Brain morphometry study plays a fundamental role in neuroimaging researc...
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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 Edge-Preserved Surface Mesh Polycube Deformation
The problem of polycube construction or deformation is an essential prob...
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The Normal Map Based on Area-Preserving Parameterization
In this paper, we present an approach to enhance and improve the current...
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Geometric Understanding of Deep Learning
Deep learning is the mainstream technique for many machine learning task...
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A Geometric View of Optimal Transportation and Generative Model
In this work, we show the intrinsic relations between optimal transporta...
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