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Paper Citation Record · LEDGER

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization

As of 16 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2510.02308.

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pith.paper-citation-record.v1
2510.02308 v2

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measured 68 of 68 reference resolution

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Outbound references

Observation 223201bc-16bb-4fd9-8ec6-7052b7f718a7 · outbound

This paper cites Principal manifolds and nonlinear dimensionality reduction via tangent space alignment.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Principal manifolds and nonlinear dimensionality reduction via tangent space alignment

Reference 1

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Observation fb963271-f4e9-48e6-b0ac-377e038bb5b6 · outbound

This paper cites Nonlinear dimensionality reduction by locally linear embed- ding.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Nonlinear dimensionality reduction by locally linear embed- ding

Reference 2

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This paper cites Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data

Reference 3

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Observation f0ebdd5b-46c5-4764-8135-42ff9eadc8e0 · outbound

This paper cites LDLE: Low Distortion Local Eigenmaps.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization LDLE: Low Distortion Local Eigenmaps

Reference 4

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Observation 43c57247-1443-4456-9cd6-d751b96837b4 · outbound

This paper cites RATS: Unsupervised manifold learning using low-distortion alignment of tangent spaces.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization RATS: Unsupervised manifold learning using low-distortion alignment of tangent spaces

Reference 5

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Observation e2940308-6291-4528-b894-b630d347a5cd · outbound

This paper cites Manifold learning: What, how, and why.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Manifold learning: What, how, and why

Reference 6

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Observation 0ee39a92-ef67-4f6d-aa10-a10551b540d1 · outbound

This paper cites Low-dimensional embeddings of high-dimensional data.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Low-dimensional embeddings of high-dimensional data

Reference 7

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Observation 09231657-2cb8-4aee-a4b9-da8133a926f5 · outbound

This paper cites Locally linear denoising on image manifolds.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Locally linear denoising on image manifolds

Reference 8

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Observation cadf551c-d8d6-485c-8c0e-a7397bf274da · outbound

This paper cites Large sample spectral analysis of graph-based multi-manifold clustering.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Large sample spectral analysis of graph-based multi-manifold clustering

Reference 9

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Observation 30607cd3-0131-4e38-9699-e15edb90ce7a · outbound

This paper cites Spectral clustering on multiple manifolds.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Spectral clustering on multiple manifolds

Reference 10

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Observation f4abb636-1f96-429b-b1b1-61a1e6a1bed7 · outbound

This paper cites Robust Multiple Manifolds Structure Learning.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Robust Multiple Manifolds Structure Learning

Reference 11

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Observation b0c1d612-18c6-42b7-bd26-7f5781bd2875 · outbound

This paper cites Spectral clustering based on local linear approximations.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Spectral clustering based on local linear approximations

Reference 12

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This paper cites Maximum likelihood estimation of intrinsic dimension.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Maximum likelihood estimation of intrinsic dimension

Reference 13

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Observation f564b0d5-8062-4899-b4a8-a522054e6575 · outbound

This paper cites Spectral convergence of the connection Laplacian from random samples.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Spectral convergence of the connection Laplacian from random samples

Reference 14

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Vector diffusion maps and the connection Laplacian

Reference 15

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This paper cites On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs

Reference 16

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Observation a3bd7613-2975-40cf-b25a-630be3f707f8 · outbound

This paper cites Local linear regression on manifolds and its geometric inter- pretation.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Local linear regression on manifolds and its geometric inter- pretation

Reference 17

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This paper cites Nonasymptotic rates for manifold, tangent space and curva- ture estimation.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Nonasymptotic rates for manifold, tangent space and curva- ture estimation

Reference 18

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Observation 9e3cfea9-1986-4df8-8834-a5f11a3f93c7 · outbound

This paper cites Non-asymptotic analysis of tangent space perturba- tion.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Non-asymptotic analysis of tangent space perturba- tion

Reference 19

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Tangent space estimation for smooth embeddings of Riemannian manifolds®

Reference 20

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Selecting the independent coordinates of manifolds with large aspect ratios

Reference 23

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This paper cites The Noisy Laplacian: a Threshold Phenom- enon for Non-Linear Dimension Reduction.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization The Noisy Laplacian: a Threshold Phenom- enon for Non-Linear Dimension Reduction

Reference 24

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian

Reference 25

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Unresolved cited work

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Perturbation of the eigenvectors of the graph Laplacian: Appli- cation to image denoising

Reference 27

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Impact of signal-to-noise ratio and bandwidth on graph Laplacian spectrum from high-dimensional noisy point cloud

Reference 28

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains

Reference 29

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Wavelets on graphs via spectral graph theory

Reference 30

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Spectral embedding norm: Looking deep into the spectrum of the graph Laplacian

Reference 31

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Unresolved cited work

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Cambridge University Press, 2004

Reference 33

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Elsevier, 1999

Reference 34

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization MLLE: Modified locally linear embedding using multiple weights

Reference 35

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Global registration of multiple point clouds using semidefinite programming

Reference 36

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Robust estimation of boundary using doubly stochastic scaling of Gaussian kernel

Reference 37

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Density estimation on manifolds with boundary

Reference 38

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Diffusion maps for embedded manifolds with bound- ary with applications to PDEs

Reference 39

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Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Curvature measures

Reference 40

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Observation bb2d022c-ee23-4198-a08d-507b14b82d47 · outbound

This paper cites Finding the homology of submanifolds with high confidence from random samples.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Finding the homology of submanifolds with high confidence from random samples

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Observation 0de31169-3b19-42b2-bb8b-98cb1073f823 · outbound

This paper cites On information plus noise kernel random matrices.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization On information plus noise kernel random matrices

Reference 42

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Observation e8019973-1578-428c-9fae-edf04b50582e · outbound

This paper cites Graph Laplacians and their conver- gence on random neighborhood graphs.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Graph Laplacians and their conver- gence on random neighborhood graphs

Reference 43

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Observation 3ade8c75-f99f-4b9a-aa73-7f09be5df5d6 · outbound

This paper cites Diffusion maps.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Diffusion maps

Reference 44

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Observation 9bf3587b-d9fe-4bc2-a4c4-95b6ec1150d0 · outbound

This paper cites Strong consistency, graph Laplacians, and the stochastic block model.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Strong consistency, graph Laplacians, and the stochastic block model

Reference 45

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Observation 571525ae-ecaf-4ca6-ad13-b6b6e584466d · outbound

This paper cites A Useful Variant of the Davis–Kahan Theorem for Statis- ticians.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization A Useful Variant of the Davis–Kahan Theorem for Statis- ticians

Reference 46

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Observation c7fbfd36-2c26-40cf-89d1-7025d94bafb1 · outbound

This paper cites an unresolved cited work.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Unresolved cited work

Reference 47

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Observation 0e20ee78-6d51-41d7-8042-3b5fcedf2a06 · outbound

This paper cites Self-tuning spectral clustering.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Self-tuning spectral clustering

Reference 48

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Observation 17d8aa89-f8e7-442c-b257-f1e34913337b · outbound

This paper cites Convergence of graph Laplacian with kNN self-tuned kernels.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Convergence of graph Laplacian with kNN self-tuned kernels

Reference 49

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Observation e9a681ba-517a-4e6a-98d9-4e757a1a7dc7 · outbound

This paper cites Manifold learning with bi-stochastic kernels.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Manifold learning with bi-stochastic kernels

Reference 50

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Observation ba24cb48-bbe5-4534-8bad-41ff1f88e992 · outbound

This paper cites Doubly stochastic normalization of the Gauss- ian kernel is robust to heteroskedastic noise.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Doubly stochastic normalization of the Gauss- ian kernel is robust to heteroskedastic noise

Reference 51

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Observation 14581f23-2b98-49a4-af71-3d7e7c39d186 · outbound

This paper cites Towards a theoretical foundation for Laplacian-based manifold methods.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Towards a theoretical foundation for Laplacian-based manifold methods

Reference 52

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Observation a8aaae93-b75b-4948-982d-d4153ccbec93 · outbound

This paper cites From graph to manifold Laplacian: The convergence rate.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization From graph to manifold Laplacian: The convergence rate

Reference 53

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Observation 224309e8-ca24-452a-8497-71040bd5e206 · outbound

This paper cites Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator

Reference 54

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Observation 4ebc858e-3f6c-4ccf-bfd1-d93a70d09111 · outbound

This paper cites Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise

Reference 55

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Observation f232df8f-da5c-4063-bc62-1f44cd447614 · outbound

This paper cites SIAM, 1998.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization SIAM, 1998

Reference 56

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Observation cc56c3cd-4be5-415d-bd08-83972b2eec5b · outbound

This paper cites Laplacian eigenmaps for dimensionality reduction and data representation.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Laplacian eigenmaps for dimensionality reduction and data representation

Reference 57

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Observation 808be388-52ce-41d7-ac36-5872d53cbabd · outbound

This paper cites Non-Parametric Estimation of Manifolds from Noisy Data.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Non-Parametric Estimation of Manifolds from Noisy Data

Reference 58

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Observation 64e3a3eb-0a59-4a23-90cc-da4036014400 · outbound

This paper cites Estimation of Local Geometric Structure on Manifolds from Noisy Data.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Estimation of Local Geometric Structure on Manifolds from Noisy Data

Reference 59

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Observation 006f39f0-623f-4c5e-99c2-6f07b4cd3cb0 · outbound

This paper cites Estimating the intrinsic dimension of high-dimensional data sets: a multiscale, geometric approach.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Estimating the intrinsic dimension of high-dimensional data sets: a multiscale, geometric approach

Reference 60

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Observation 012f6faa-c6ca-4a68-b443-c9951ef137dd · outbound

This paper cites Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature

Reference 61

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Observation 4273276d-7a6e-41e7-b2b2-90ec29b38ddb · outbound

This paper cites Minimax manifold estimation.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Minimax manifold estimation

Reference 62

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Observation 3377ab6d-f178-452e-981b-61768cc853cc · outbound

This paper cites Generalised quantum waveguides.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Generalised quantum waveguides

Reference 63

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Observation 89bc412d-ff03-46e4-9ed9-1d46a283bfe1 · outbound

This paper cites A tail inequality for quadratic forms of subgaussian random vectors.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization A tail inequality for quadratic forms of subgaussian random vectors

Reference 64

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Observation 01c40c8e-fc8c-4a1b-a52d-74b768d13f9c · outbound

This paper cites Principal angles between subspaces in an A-based scalar product: algorithms and perturbation estimates.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Principal angles between subspaces in an A-based scalar product: algorithms and perturbation estimates

Reference 65

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Observation 40c9e7b2-abab-4952-99e2-2871471e9f72 · outbound

This paper cites Learning the geometry of common latent variables using alternating-diffusion.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Learning the geometry of common latent variables using alternating-diffusion

Reference 66

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Observation 70294bc0-d942-4262-b917-343472519bd0 · outbound

This paper cites Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries

Reference 67

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Observation b4c8f98c-9c1f-400b-af5d-abae53bcd856 · outbound

This paper cites Non-degenerate rigid alignment in a patch framework.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Non-degenerate rigid alignment in a patch framework

Reference 68

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Observation 5ac0f17c-ed7d-4543-972b-145e5c0c2e88 · outbound

This paper cites Global registration of multiple 3D point sets via optimization-on-a- manifold.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Global registration of multiple 3D point sets via optimization-on-a- manifold

Reference 69

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Observation abf830f7-4989-4ed5-8998-56a0b3f243ef · outbound

This paper cites Robust inference of manifold density and geometry by doubly stochastic scaling.

Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Robust inference of manifold density and geometry by doubly stochastic scaling

Reference 70

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