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A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE

As of 9 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.13202.

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2607.13202 v1

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measured 44 of 44 reference resolution

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measured 44 of 44 standing notices

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44 of 44 outbound references displayed

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Outbound references

Observation be5c8dce-d0f1-44c4-b243-e0938a83691f · outbound

This paper cites Hull Shape Design Optimization with Parameter Space and Model Reductions, and Self-Learning Mesh Morphing.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Hull Shape Design Optimization with Parameter Space and Model Reductions, and Self-Learning Mesh Morphing

Reference 1

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Observation a9c3e6a6-ba8e-4b02-897b-85e29f56c2a2 · outbound

This paper cites Marsden, and Simone Deparis.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Marsden, and Simone Deparis

Reference 2

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Observation 5bec62f9-ef28-4df7-9da8-65d4ec2f2f98 · outbound

This paper cites A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number

Reference 3

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Observation 4d9dc29e-aac0-4459-9593-67d90c114003 · outbound

This paper cites Sederberg and Scott R.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Sederberg and Scott R

Reference 4

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Observation b32a8a5a-1dc0-41a6-b3ec-0429e47dd037 · outbound

This paper cites Generative models for the deformation of industrial shapes with linear geo- metric constraints: Model order and parameter space reductions.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Generative models for the deformation of industrial shapes with linear geo- metric constraints: Model order and parameter space reductions

Reference 5

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Observation 26a8633a-bc5f-4b47-8254-74a908390e37 · outbound

This paper cites Generative Models for Parameter Space Reduction applied to Reduced Order Modelling.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Generative Models for Parameter Space Reduction applied to Reduced Order Modelling

Reference 6

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Observation 56d540a8-8d8b-4a2a-a631-3e5816aca10a · outbound

This paper cites Salmoiraghi, A.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Salmoiraghi, A

Reference 7

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Observation 69a3a6df-747c-4e26-92c9-ddbdfa33a329 · outbound

This paper cites Fluid-structure Interactions, volume 118.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Fluid-structure Interactions, volume 118

Reference 8

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Observation f684af51-06a9-46e2-85d3-2bfe67caf32c · outbound

This paper cites Exact and Approximate Controllability for Distributed Parameter Systems.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Exact and Approximate Controllability for Distributed Parameter Systems

Reference 9

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Observation acc62f3c-da05-4b8c-aad6-93b6b75d7c8b · outbound

This paper cites an unresolved cited work.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Unresolved cited work

Reference 10

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Observation bfea116d-7651-4c17-abde-d046f59c8b2c · outbound

This paper cites Approximation capabilities of multilayer feedforward networks.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Approximation capabilities of multilayer feedforward networks

Reference 11

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Observation 613b2c12-5940-4b4e-b1e0-70d2b364d9ac · outbound

This paper cites STARFlow: Scaling Latent Normalizing Flows for High-resolution Image Synthesis.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE STARFlow: Scaling Latent Normalizing Flows for High-resolution Image Synthesis

Reference 12

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Observation b89d0f5c-c86d-430f-9e2c-f21b2ed53bbb · outbound

This paper cites Normalizing Flows are Capable Generative Models.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Normalizing Flows are Capable Generative Models

Reference 13

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Observation 0ca30931-b0bc-44a5-aeee-c8901423477e · outbound

This paper cites Brooks and Thomas J.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Brooks and Thomas J

Reference 14

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Observation 958297eb-c383-4d40-98db-78d9768f6664 · outbound

This paper cites Baratta, Joseph P.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Baratta, Joseph P

Reference 15

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Observation d0017a4c-9034-46db-8a72-f2639e0b5cc3 · outbound

This paper cites Scroggs, Igor A.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Scroggs, Igor A

Reference 16

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Observation 31a2d9dd-be04-4717-a475-dc7f3dc485a9 · outbound

This paper cites Alnæs, Anders Logg, Kristian B.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Alnæs, Anders Logg, Kristian B

Reference 17

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Observation 4351c2ac-cf6c-4889-9e6f-3b8ef9c9be67 · outbound

This paper cites Zippered polygon meshes from range images.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Zippered polygon meshes from range images

Reference 18

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Observation ab41516e-8ff0-4a3e-9f18-1bd2467254f5 · outbound

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A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Unresolved cited work

Reference 19

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Observation 8e24d9ec-207b-4aa8-9d42-55d2cc85b580 · outbound

This paper cites Anderson.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Anderson

Reference 20

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Observation 81737488-b39f-4adc-8349-07ce9b1b95d8 · outbound

This paper cites Reduced Basis Methods for Partial Differential Equations, volume 92.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Reduced Basis Methods for Partial Differential Equations, volume 92

Reference 21

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Observation e3360f4b-36d7-4ef0-87a9-47891d074b47 · outbound

This paper cites Willcox and J.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Willcox and J

Reference 22

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Observation dc00f014-5ba8-4fca-a208-cf725bac9476 · outbound

This paper cites Mesh Deformation Approaches – A Survey.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Mesh Deformation Approaches – A Survey

Reference 23

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Observation 3b44fc02-d772-486a-a453-1139b6e4f004 · outbound

This paper cites Auto-Encoding Variational Bayes, 2013.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Auto-Encoding Variational Bayes, 2013

Reference 24

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Observation 5ad0eae4-28be-49b3-879f-4981f65df964 · outbound

This paper cites Variational Inference with Normaliz- ing Flows.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Variational Inference with Normaliz- ing Flows

Reference 25

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Observation 339c5925-6d7e-4a45-a030-946eb5ad3525 · outbound

This paper cites Generative ad- versarial networks.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Generative ad- versarial networks

Reference 26

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Observation 30975a41-d135-4db4-ad2f-c9eddf93d27d · outbound

This paper cites Denoising Diffusion Proba- bilistic Models.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Denoising Diffusion Proba- bilistic Models

Reference 27

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Observation 1f81dee4-4e44-4294-8601-d6092bcb3d9a · outbound

This paper cites ShapeFusion: A 3D Diffusion Model for Localized Shape Editing.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE ShapeFusion: A 3D Diffusion Model for Localized Shape Editing

Reference 28

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Observation 4c7d4058-76ad-45d5-825a-72b096c95ff5 · outbound

This paper cites OctFusion: Octree-based Diffusion Models for 3D Shape Generation.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE OctFusion: Octree-based Diffusion Models for 3D Shape Generation

Reference 29

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Observation af7c9059-99b8-4fd1-a495-7a037c3d944e · outbound

This paper cites Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey, August.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey, August

Reference 30

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Observation 8568947d-dce4-4713-b42b-78bfed261947 · outbound

This paper cites Diffusion Models for 3D Generation: A Survey.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Diffusion Models for 3D Generation: A Survey

Reference 31

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Observation e33f2d36-7d9f-440a-966e-8cc6e42bc408 · outbound

This paper cites Chapelier, R.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Chapelier, R

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Observation cb76ca05-8463-4d31-92fe-983e7e3f4028 · outbound

This paper cites Efficient musculoskeletal annotation using free-form deformation.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Efficient musculoskeletal annotation using free-form deformation

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Observation 3f6e23a9-5574-4ba2-8e65-18aac20b4007 · outbound

This paper cites A Novel body-fitted free form deformation method for hull form optimization.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE A Novel body-fitted free form deformation method for hull form optimization

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Observation 89cde2f0-440e-4e5c-a1cc-d86de295c4a4 · outbound

This paper cites A Physics-Informed Deep Learning Deformable Medical Image Registration Method Based on Neural ODEs.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE A Physics-Informed Deep Learning Deformable Medical Image Registration Method Based on Neural ODEs

Reference 35

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Observation af7538ba-ac5c-4737-9246-840a6e81dedd · outbound

This paper cites Elasticity-based morphing technique and application to reduced-order modeling.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Elasticity-based morphing technique and application to reduced-order modeling

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Observation 431da766-7ef9-410b-9e3a-4b42de2541e0 · outbound

This paper cites On Multivariate Bern- stein Polynomials.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE On Multivariate Bern- stein Polynomials

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Observation dbb90622-ad04-47b8-aa4e-0bd2815bb195 · outbound

This paper cites A condition for isotopic approx- imation.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE A condition for isotopic approx- imation

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A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Unresolved cited work

Reference 39

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Observation da9f077a-3b63-40d0-9db8-e751567f769a · outbound

This paper cites Rozza, D.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Rozza, D

Reference 40

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Observation e6fab650-93f8-4b71-930f-ecd884206ecb · outbound

This paper cites Pedregosa, G.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Pedregosa, G

Reference 41

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Observation 3808791c-3002-46a8-b7f6-2edcd7f4ee6a · outbound

This paper cites Byrd, Mary E.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE Byrd, Mary E

Reference 42

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Observation 3b8b4521-edea-4532-8a56-a6de77b2ff59 · outbound

This paper cites On the p-norm condition number of the mul- tivariate triangular Bernstein basis.

A Generative Model-Free Form Deformation Approach for the Generation of Mesh Motions with Applications to PDE On the p-norm condition number of the mul- tivariate triangular Bernstein basis

Reference 44

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