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Reversible Harmonic Maps between Discrete Surfaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-38868-2_41openalex-snapshot
Globally Optimal Cortical Surface Matching with Exact Landmark Correspondence
inferredcites →https://doi.org/10.1007/s10711-004-1843-yopenalex-snapshot
Combinatorial Harmonic Maps and Discrete-group Actions on Hadamard Spaces
inferredcites →https://doi.org/10.1016/j.cag.2017.06.004openalex-snapshot
Embedding shapes with Green’s functions for global shape matching
inferredcites →https://doi.org/10.1016/j.cviu.2015.05.013openalex-snapshot
Computational caricaturization of surfaces
inferredcites →https://doi.org/10.1073/pnas.0508601103openalex-snapshot
Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
inferredcites →https://doi.org/10.1080/10586458.1993.10504266openalex-snapshot
Computing Discrete Minimal Surfaces and Their Conjugates
inferredcites →https://doi.org/10.1109/3dv.2014.24openalex-snapshot
Iterative Closest Spectral Kernel Maps
inferredcites →https://doi.org/10.1109/83.392335openalex-snapshot
Nonlinear image recovery with half-quadratic regularization
inferredcites →https://doi.org/10.1109/cvpr.2015.7298692openalex-snapshot
Functional correspondence by matrix completion
inferredcites →https://doi.org/10.1109/cvpr.2017.707openalex-snapshot
Product Manifold Filter: Non-rigid Shape Correspondence via Kernel Density Estimation in the Product Space
inferredcites →https://doi.org/10.1109/iccv.2011.6126278openalex-snapshot
From learning models of natural image patches to whole image restoration
inferredcites →https://doi.org/10.1109/iccv.2017.107openalex-snapshot
Surface Registration via Foliation
inferredcites →https://doi.org/10.1109/iccvw.2011.6130444openalex-snapshot
The wave kernel signature: A quantum mechanical approach to shape analysis
inferredcites →https://doi.org/10.1109/tmi.2004.831226openalex-snapshot
Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping
inferredcites →https://doi.org/10.1109/tpami.2007.70841openalex-snapshot
Evaluating Shape Correspondence for Statistical Shape Analysis: A Benchmark Study
inferredcites →https://doi.org/10.1109/tpami.2016.2567398openalex-snapshot
Hyperbolic Harmonic Mapping for Surface Registration
inferredcites →https://doi.org/10.1109/tvcg.2012.310openalex-snapshot
Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid
inferredcites →https://doi.org/10.1111/cgf.12064openalex-snapshot
Coupled quasi‐harmonic bases
inferredcites →https://doi.org/10.1111/cgf.12450openalex-snapshot
Exploring the Geometry of the Space of Shells
inferredcites →https://doi.org/10.1111/cgf.13124openalex-snapshot
Informative Descriptor Preservation via Commutativity for Shape Matching
inferredcites →https://doi.org/10.1111/cgf.13253openalex-snapshot
Adjoint Map Representation for Shape Analysis and Matching
inferredcites →https://doi.org/10.1111/cgf.13254openalex-snapshot
Deblurring and Denoising of Maps between Shapes
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.01884.xopenalex-snapshot
A Survey on Shape Correspondence
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.02020.xopenalex-snapshot
Coarse‐to‐Fine Combinatorial Matching for Dense Isometric Shape Correspondence
inferredcites →https://doi.org/10.1111/j.1467-8659.2012.03180.xopenalex-snapshot
Time‐Discrete Geodesics in the Space of Shells
inferredcites →https://doi.org/10.1137/080724265openalex-snapshot
A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
inferredcites →https://doi.org/10.1137/120887795openalex-snapshot
A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
inferredcites →https://doi.org/10.1145/1015706.1015736openalex-snapshot
Deformation transfer for triangle meshes
inferredcites →https://doi.org/10.1145/1531326.1531379openalex-snapshot
A benchmark for 3D mesh segmentation
inferredcites →https://doi.org/10.1145/1778765.1778775openalex-snapshot
A simple geometric model for elastic deformations
inferredcites →https://doi.org/10.1145/1778765.1778839openalex-snapshot
Learning 3D mesh segmentation and labeling
inferredcites →https://doi.org/10.1145/2010324.1964974openalex-snapshot
Blended intrinsic maps
inferredcites →https://doi.org/10.1145/2185520.2185525openalex-snapshot
Schelling points on 3D surface meshes
inferredcites →https://doi.org/10.1145/2185520.2185526openalex-snapshot
Functional maps
inferredcites →https://doi.org/10.1145/2461912.2461935openalex-snapshot
Weighted averages on surfaces
inferredcites →https://doi.org/10.1145/2729972openalex-snapshot
Real-Time Nonlinear Shape Interpolation
inferredcites →https://doi.org/10.1145/2766921openalex-snapshot
Seamless surface mappings
inferredcites →https://doi.org/10.1145/2816795.2818099openalex-snapshot
Orbifold Tutte embeddings
inferredcites →https://doi.org/10.1145/2897824.2925903openalex-snapshot
Entropic metric alignment for correspondence problems
inferredcites →https://doi.org/10.1145/2897824.2925913openalex-snapshot
Point registration via efficient convex relaxation
inferredcites →https://doi.org/10.1145/2980179.2982412openalex-snapshot
Hyperbolic orbifold tutte embeddings
inferredcites →https://doi.org/10.1145/2988458.2988473openalex-snapshot
Data-driven shape analysis and processing
inferredcites →https://doi.org/10.1145/3072959.3073615openalex-snapshot
Spherical orbifold tutte embeddings
inferredcites →https://doi.org/10.1145/3072959.3073671openalex-snapshot
Variance-minimizing transport plans for inter-surface mapping
inferredcites →https://doi.org/10.1145/566654.566590openalex-snapshot
Least squares conformal maps for automatic texture atlas generation
inferredcites →https://doi.org/10.2307/2373037openalex-snapshot
Harmonic Mappings of Riemannian Manifolds

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Synchronous Diffusion for Unsupervised Smooth Non-rigid 3D Shape Matching
inferred← citeshttps://doi.org/10.1007/978-3-032-37461-5_14openalex-snapshot
Hyper-Network Neural Functional Maps for Unsupervised Robust 3D Shape Matching
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Recent advances in shape correspondence
inferred← citeshttps://doi.org/10.1007/s00371-021-02337-6openalex-snapshot
Multi-part shape matching by simultaneous partial functional correspondence
inferred← citeshttps://doi.org/10.1007/s00371-022-02553-8openalex-snapshot
Incremental functional maps for accurate and smooth shape correspondence
inferred← citeshttps://doi.org/10.1007/s00371-025-04038-wopenalex-snapshot
TriAlign: revisiting deep functional map from map representation alignment perspectives
inferred← citeshttps://doi.org/10.1007/s10851-021-01038-yopenalex-snapshot
On Inversion-Free Mapping and Distortion Minimization
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Functional map-based reflection intrinsic symmetry detection and symmetrization for 2D deformable shapes
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Generalized volumetric foliation from inverted viscous flow
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Intrinsic/extrinsic embedding for functional remeshing of 3D shapes
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Partial 3D shape functional correspondence via fully spectral eigenvalue alignment and upsampling refinement
inferred← citeshttps://doi.org/10.1038/s41467-023-37574-xopenalex-snapshot
Evolution of cortical geometry and its link to function, behaviour and ecology
inferred← citeshttps://doi.org/10.1049/ipr2.70333openalex-snapshot
TransLAP: Non‐Isometric Shape Matching Using Transformer Based Linear Assignment Problem
inferred← citeshttps://doi.org/10.1109/3dv.2019.00034openalex-snapshot
High-Resolution Augmentation for Automatic Template-Based Matching of Human Models
inferred← citeshttps://doi.org/10.1109/3dv53792.2021.00141openalex-snapshot
Dual Geometric Graph Network (DG2N) Iterative Network for Deformable Shape Alignment
inferred← citeshttps://doi.org/10.1109/3dv57658.2022.00061openalex-snapshot
Smooth Non-Rigid Shape Matching via Effective Dirichlet Energy Optimization
inferred← citeshttps://doi.org/10.1109/3dv62453.2024.00128openalex-snapshot
Revisiting Map Relations for Unsupervised Non-Rigid Shape Matching
inferred← citeshttps://doi.org/10.1109/cvpr52733.2024.00351openalex-snapshot
Spectral Meets Spatial: Harmonising 3D Shape Matching and Interpolation
inferred← citeshttps://doi.org/10.1109/iccv48922.2021.00377openalex-snapshot
DWKS : A Local Descriptor of Deformations Between Meshes and Point Clouds
inferred← citeshttps://doi.org/10.1109/tmi.2021.3128743openalex-snapshot
Volumetric Parameterization of the Placenta to a Flattened Template
inferred← citeshttps://doi.org/10.1111/cgf.13624openalex-snapshot
Elastic Correspondence between Triangle Meshes
inferred← citeshttps://doi.org/10.1111/cgf.13786openalex-snapshot
Consistent Shape Matching via Coupled Optimization
inferred← citeshttps://doi.org/10.1111/cgf.13787openalex-snapshot
Dense Point‐to‐Point Correspondences Between Genus‐Zero Shapes
inferred← citeshttps://doi.org/10.1111/cgf.13789openalex-snapshot
Hierarchical Functional Maps between Subdivision Surfaces
inferred← citeshttps://doi.org/10.1111/cgf.13952openalex-snapshot
Robust Shape Collection Matching and Correspondence from Shape Differences
inferred← citeshttps://doi.org/10.1111/cgf.14084openalex-snapshot
C onsistent Z oom O ut : Efficient Spectral Map Synchronization
inferred← citeshttps://doi.org/10.1111/cgf.14359openalex-snapshot
Discrete Optimization for Shape Matching
inferred← citeshttps://doi.org/10.1111/cgf.14367openalex-snapshot
Surface Map Homology Inference
inferred← citeshttps://doi.org/10.1111/cgf.14579openalex-snapshot
Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases
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TinyAD: Automatic Differentiation in Geometry Processing Made Simple
inferred← citeshttps://doi.org/10.1111/cgf.14721openalex-snapshot
Mesh Draping: Parametrization‐Free Neural Mesh Transfer
inferred← citeshttps://doi.org/10.1111/cgf.14746openalex-snapshot
Scalable and Efficient Functional Map Computations on Dense Meshes
inferred← citeshttps://doi.org/10.1111/cgf.14747openalex-snapshot
Surface Maps via Adaptive Triangulations
inferred← citeshttps://doi.org/10.1111/cgf.15230openalex-snapshot
Multiscale Spectral Manifold Wavelet Regularizer for Unsupervised Deep Functional Maps
inferred← citeshttps://doi.org/10.1111/cgf.70035openalex-snapshot
Preconditioned Single‐step Transforms for Non‐rigid ICP
inferred← citeshttps://doi.org/10.1111/cgf.70203openalex-snapshot
FRIDU: Functional Map Refinement with Guided Image Diffusion
inferred← citeshttps://doi.org/10.1111/cgf.70397openalex-snapshot
Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
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A Splitting Scheme for Flip-Free Distortion Energies
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Distortion-minimizing injective maps between surfaces
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ZoomOut
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Inter-surface maps via constant-curvature metrics
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Quad-mesh based isometric mappings and developable surfaces
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Error-bounded compatible remeshing
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Bijective projection in a shell
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MapTree
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Compatible intrinsic triangulations
inferred← citeshttps://doi.org/10.1145/3572897openalex-snapshot
Symmetric Volume Maps: Order-invariant Volumetric Mesh Correspondence with Free Boundary
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An Elastic Basis for Spectral Shape Correspondence
inferred← citeshttps://doi.org/10.1145/3592107openalex-snapshot
Unsupervised Learning of Robust Spectral Shape Matching
inferred← citeshttps://doi.org/10.1145/3658207openalex-snapshot
Smooth Bijective Projection in a High-order Shell
inferred← citeshttps://doi.org/10.1145/3673652openalex-snapshot
A Closest Point Method for PDEs on Manifolds with Interior Boundary Conditions for Geometry Processing
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SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimation
inferred← citeshttps://doi.org/10.1145/3687968openalex-snapshot
Deformation Recovery: Localized Learning for Detail-Preserving Deformations
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Kinematic Motion Retargeting for Contact-Rich Anthropomorphic Manipulations
inferred← citeshttps://doi.org/10.1145/3811368openalex-snapshot
Implicit Minimal Surfaces for Bijective Correspondences
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Classification of audio signals using spectrogram surfaces and extrinsic distortion measures
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Classification of audio signals using spectrogram surfaces and inherent distortion measures
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LNIE: Robust Partial-to-Partial Shape Matching via Localized Neural Intrinsic Embeddings
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Correspondence Calculation of Non-Isometric 3D Shapes by Intrinsic-Extrinsic Feature Alignment
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ZoomOut: Spectral Upsampling for Efficient Shape Correspondence
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Getting Topology and Point Cloud Generation to Mesh
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Learned Interpolation for 3D Generation
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Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE
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MapTree: Recovering Multiple Solutions in the Space of Maps
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Distortion measure of spectrograms for classification of respiratory diseases
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Intuitive Shape Editing in Latent Space
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Analysis of large scale 3D shape collection with learning based approaches
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Robust spectral methods for shape analysis and deformation assessment
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