Paper Citation Record · LEDGER

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.22053.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.22053 v1

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T06:02:42.420788Z

measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 445faadf-e4db-4d5c-8681-f2e9e454380f · outbound

This paper cites Pham, Chenyang Xu, and Jerry L.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Pham, Chenyang Xu, and Jerry L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:37.829894Z

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Observation d12c8709-8086-459f-959c-dd0c293c23bc · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 2

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Observation 2ea0347f-b1cc-4e72-ba87-8b1b8ad69f0f · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.008446Z

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Observation e13bd270-9b09-44ec-8327-31fd9a4ff3f8 · outbound

This paper cites Elshaera, Jana Lipkova, Sebastian Schlecht, Freba Ahmaddy, Sunil Tatavarty, Marc Bickel, Patrick Bilic, Markus Rempfler, Felix Hofmann, Melvin D.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Elshaera, Jana Lipkova, Sebastian Schlecht, Freba Ahmaddy, Sunil Tatavarty, Marc Bickel, Patrick Bilic, Markus Rempfler, Felix Hofmann, Melvin D

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.152537Z

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Observation 6f44460b-d5a7-45c4-be3f-98d5e4bd0e0e · outbound

This paper cites Computer-aided diagnosis in medical imaging: Historical review, current status and future potential.Computerized Medical Imaging and Graphics, 31(4-5):198–211, June 2007.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Computer-aided diagnosis in medical imaging: Historical review, current status and future potential.Computerized Medical Imaging and Graphics, 31(4-5):198–211, June 2007

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.314223Z

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Observation f57e3466-3db0-40c7-96d2-cc0ef535875c · outbound

This paper cites Gore, and Zhaohua Ding.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Gore, and Zhaohua Ding

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.431735Z

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Observation 60f06cc3-9671-4e25-b980-b8d6d43e4765 · outbound

This paper cites An Active Contour Model for the Segmentation of Images with Intensity Inhomogeneities and Bias Field Estimation.PLOS ONE, 10(4):e0120399, April 2015.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures An Active Contour Model for the Segmentation of Images with Intensity Inhomogeneities and Bias Field Estimation.PLOS ONE, 10(4):e0120399, April 2015

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.581540Z

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Observation b2e99701-871a-451c-9240-da63cbbb1a7d · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.748372Z

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Observation 4fd5530d-6923-4d4f-ac1b-908fa7200b51 · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.867110Z

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Observation f283134a-455d-425e-a903-f1c4bacd2976 · outbound

This paper cites Intensity inhomogeneity image segmentation based on the gradient-based spaces and the prior constraint.Applied Mathematical Modelling, 119:605–625, July 2023.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Intensity inhomogeneity image segmentation based on the gradient-based spaces and the prior constraint.Applied Mathematical Modelling, 119:605–625, July 2023

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:38.979773Z

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Observation 297235b4-b4a8-4aa4-8d15-c9723df486e2 · outbound

This paper cites A Threshold Selection Method from Gray-Level Histograms.IEEE Transactions on Systems, Man, and Cybernetics, 9(1):62–66, January 1979.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures A Threshold Selection Method from Gray-Level Histograms.IEEE Transactions on Systems, Man, and Cybernetics, 9(1):62–66, January 1979

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.137574Z

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Observation b141241f-0571-4cf9-a6ad-5bb0baee1e51 · outbound

This paper cites Comaniciu and P.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Comaniciu and P

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.288585Z

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Observation 2b6a1c67-1a93-41d1-b6a6-b2a0760976ad · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.453885Z

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Observation 20c7c9dc-1cfa-47b7-a47c-cf2cc9091f90 · outbound

This paper cites Caselles, R.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Caselles, R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.508672Z

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Observation a75869ad-4450-4316-ad5c-5565c3b40222 · outbound

This paper cites Optimal approximations by piecewise smooth functions and associated variational problems.Communications on Pure and Applied Mathematics, 42(5):577–685, July 1989.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Optimal approximations by piecewise smooth functions and associated variational problems.Communications on Pure and Applied Mathematics, 42(5):577–685, July 1989

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.590493Z

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Observation 30123484-e676-44f0-90c2-26ef72c02db9 · outbound

This paper cites Chan and L.A.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Chan and L.A

Reference 16

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Observation 455ee4b2-ff7b-4571-83d3-c2a6d949628b · outbound

This paper cites U-Net: Convolutional Networks for Biomedical Image Segmentation, May 2015.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures U-Net: Convolutional Networks for Biomedical Image Segmentation, May 2015

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.836490Z

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Observation aa7708b1-77a4-4788-87fe-6212ed40f10f · outbound

This paper cites Yuille, and Yuyin Zhou.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Yuille, and Yuyin Zhou

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:39.928966Z

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Observation 5fdde7a4-6453-4efb-b481-2959eb02e58c · outbound

This paper cites Swin-Unet: Unet-like Pure Transformer for Medical Image Segmentation, May 2021.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Swin-Unet: Unet-like Pure Transformer for Medical Image Segmentation, May 2021

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.041788Z

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Observation 0fbe35e7-935e-41c0-bd95-72606d52dffb · outbound

This paper cites MedSegDiff: Medical Image Segmentation with Diffusion Probabilistic Model.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures MedSegDiff: Medical Image Segmentation with Diffusion Probabilistic Model

Reference 20

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Observation 8644f84d-4afa-47a5-933e-0764bc11d6d9 · outbound

This paper cites QIS : Interactive Segmentation via Quasi- conformal Mappings.SIAM Journal on Imaging Sciences, 18(1):494–525, March 2025.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures QIS : Interactive Segmentation via Quasi- conformal Mappings.SIAM Journal on Imaging Sciences, 18(1):494–525, March 2025

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.217652Z

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Observation 8840647a-3940-48bc-8b78-2d614bd20721 · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.313817Z

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Observation 6445f2f8-e464-4571-b142-081cd60fffb9 · outbound

This paper cites Gore, and Zhaohua Ding.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Gore, and Zhaohua Ding

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.379114Z

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Observation 650934db-2fe9-4b5d-8e36-3a9c83677a3c · outbound

This paper cites Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures.SIAM Journal on Imaging Sciences, 13(4):2105–2139, January 2020.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures.SIAM Journal on Imaging Sciences, 13(4):2105–2139, January 2020

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.512688Z

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Observation 54583b62-8bd2-49bb-8836-de678703c176 · outbound

This paper cites A Registration-Based Star-Shape Seg- mentation Model and Fast Algorithms.Journal of Scientific Computing, 105(1):1, October 2025.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures A Registration-Based Star-Shape Seg- mentation Model and Fast Algorithms.Journal of Scientific Computing, 105(1):1, October 2025

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.625067Z

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Observation 46c65424-a297-4cb0-b796-8d81f03b6c1d · outbound

This paper cites Connected-Component Preserving Image Segmentation Using the Iterative Convolution-Thresholding Method.SIAM Journal on Imaging Sciences, 18(3):1904–1928, September 2025.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Connected-Component Preserving Image Segmentation Using the Iterative Convolution-Thresholding Method.SIAM Journal on Imaging Sciences, 18(3):1904–1928, September 2025

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.728902Z

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Observation 95855345-59f5-420e-aada-9b755ad97784 · outbound

This paper cites Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models.SIAM Journal on Imaging Sciences, 3(3):300–339, January 2010.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models.SIAM Journal on Imaging Sciences, 3(3):300–339, January 2010

Reference 27

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Observation 6ce3d026-5c86-4bac-879d-7bd767d0c203 · outbound

This paper cites A Fast Algorithm for Euler’s Elastica Model Using Augmented Lagrangian Method.SIAM Journal on Imaging Sciences, 4(1):313–344, January 2011.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures A Fast Algorithm for Euler’s Elastica Model Using Augmented Lagrangian Method.SIAM Journal on Imaging Sciences, 4(1):313–344, January 2011

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:40.924536Z

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Observation 737bde32-e436-4d33-a997-00e736ff57b7 · outbound

This paper cites Re-initialization-Free Level Set Method via Molecular Beam Epitaxy Equation Regularization for Image Segmentation.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Re-initialization-Free Level Set Method via Molecular Beam Epitaxy Equation Regularization for Image Segmentation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.039783Z

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Observation 78c204f9-d09e-40d2-9b95-1309e0f6a82f · outbound

This paper cites An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color-Texture Image Segmentation.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color-Texture Image Segmentation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.182219Z

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Observation 496330e1-b9b2-4165-8079-9f81d6c65c6d · outbound

This paper cites Snakes: Active contour models.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Snakes: Active contour models

Reference 31

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Observation fa9fee82-4dc3-435a-adc8-e2f197b8547d · outbound

This paper cites Unsupervised Deep Learning Meets Chan-Vese Model.CSIAM Transactions on Applied Mathematics, 3(4):662–691, November 2022.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unsupervised Deep Learning Meets Chan-Vese Model.CSIAM Transactions on Applied Mathematics, 3(4):662–691, November 2022

Reference 32

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Observation e08e8095-d1c5-4b5a-9bf9-7577dc1c4360 · outbound

This paper cites Tahmasebi, and Abdol-Reza Mansouri.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Tahmasebi, and Abdol-Reza Mansouri

Reference 33

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Observation fc50fb2c-bcb3-46a7-9c73-43ffe3a824cc · outbound

This paper cites Bertozzi, Selim Esedoglu, and Alan Gillette.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Bertozzi, Selim Esedoglu, and Alan Gillette

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.626508Z

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Observation 2d029386-3766-4d2d-89c3-d69221f55c3f · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.716548Z

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Observation 73aafbb8-91d6-4091-947a-05e6aa7685ca · outbound

This paper cites Cahn and John E.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Cahn and John E

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.795304Z

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Observation 447608d7-d0b4-4e68-9940-8f54f961d1f4 · outbound

This paper cites an unresolved cited work.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:41.884143Z

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Observation fbae3f67-29d5-40c9-8575-5fa9545fedad · outbound

This paper cites The scalar auxiliary variable (SAV) approach for gradient flows.Journal of Computational Physics, 353:407–416, January 2018.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures The scalar auxiliary variable (SAV) approach for gradient flows.Journal of Computational Physics, 353:407–416, January 2018

Reference 38

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Observation 6ff2f61d-145d-47d6-9c8e-53780f7b4bb1 · outbound

This paper cites A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows.SIAM Review, 61(3):474–506, January 2019.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows.SIAM Review, 61(3):474–506, January 2019

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.042036Z

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Observation 8bc4fb5a-ad40-4089-bafe-c166ebca3a94 · outbound

This paper cites Morrison, Martin A.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Morrison, Martin A

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.121363Z

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Observation 559a234e-1b83-4172-bf1b-3fbd58503f9d · outbound

This paper cites Vese, and Alan L.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Vese, and Alan L

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.201721Z

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Observation 1bb62795-f97b-49f3-81cd-4ee3ffc11f1a · outbound

This paper cites Coarsening kinetics from a variable- mobility Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Coarsening kinetics from a variable- mobility Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.283776Z

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Observation 990db54d-498a-4fed-8fe3-3beb42fad1ab · outbound

This paper cites EfficientNumericalMethodsforComputing the Stationary States of Phase Field Crystal Models.SIAM Journal on Scientific Computing, 42(6):B1350–B1377, January 2020.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures EfficientNumericalMethodsforComputing the Stationary States of Phase Field Crystal Models.SIAM Journal on Scientific Computing, 42(6):B1350–B1377, January 2020

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Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.343639Z

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Observation 313f0d48-3d8b-4a05-bf4f-ad777072a032 · outbound

This paper cites Convergence Analysis for Bregman Iterations in Minimizing a Class of Landau Free Energy Functionals.SIAM Journal on Numerical Analysis, 62(1):476–499, February 2024.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Convergence Analysis for Bregman Iterations in Minimizing a Class of Landau Free Energy Functionals.SIAM Journal on Numerical Analysis, 62(1):476–499, February 2024

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Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.409095Z

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Observation ea20d3b6-99c9-48be-b0e5-c101f8d8455e · outbound

This paper cites Metrics for evaluating 3D medical image segmentation: Analysis, selection, and tool.BMC Medical Imaging, 15(1):29, December 2015.

A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures Metrics for evaluating 3D medical image segmentation: Analysis, selection, and tool.BMC Medical Imaging, 15(1):29, December 2015

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Resolution: unresolved; no resolver link, observed 2026-08-01T06:02:42.420788Z

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