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Definition and Optimal Extraction Algorithm",
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@inproceedings{bb58522,
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@article{bb58525,
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analysis",
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@inproceedings{bb58532,
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@inproceedings{bb58533,
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a Digital Object",
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@inproceedings{bb58534,
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@inproceedings{bb58538,
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@inproceedings{bb58554,
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@inproceedings{bb58555,
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@inproceedings{bb58556,
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@book{bb58557,
        AUTHOR = "Peters, J.F.",
        TITLE = "Topology of Digital Images:
Visual Pattern Discovery in Proximity Spaces",
        PUBLISHER = "Springer",
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@article{bb58558,
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@article{bb58559,
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@article{bb58560,
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@inproceedings{bb58561,
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@article{bb58562,
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images",
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@article{bb58563,
        AUTHOR = "Schrack, G. and Stocco, L.",
        TITLE = "Generation of Spatial Orders and Space-Filling Curves",
        JOURNAL = IP,
        VOLUME = "24",
        YEAR = "2015",
        NUMBER = "6",
        MONTH = "June",
        PAGES = "1791-1800",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56489"}

@article{bb58564,
        AUTHOR = "Haarmann, J. and Murphy, M.P. and Peters, C.S. and Staecker, P.C.",
        TITLE = "Homotopy Equivalence in Finite Digital Images",
        JOURNAL = JMIV,
        VOLUME = "53",
        YEAR = "2015",
        NUMBER = "3",
        MONTH = "November",
        PAGES = "288-302",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56490"}

@article{bb58565,
        AUTHOR = "Boxer, L. and Staecker, P.C.",
        TITLE = "Connectivity Preserving Multivalued Functions in Digital Topology",
        JOURNAL = JMIV,
        VOLUME = "55",
        YEAR = "2016",
        NUMBER = "3",
        MONTH = "July",
        PAGES = "370-377",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56491"}

@article{bb58566,
        AUTHOR = "Zou, B. and Liu, Q. and Chen, Z.L. and Fu, H.P. and Zhu, C.Z.",
        TITLE = "Surroundedness based multiscale saliency detection",
        JOURNAL = JVCIR,
        VOLUME = "33",
        YEAR = "2015",
        NUMBER = "1",
        PAGES = "378-388",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56492"}

@article{bb58567,
        AUTHOR = "Kuijpers, B. and Moelans, B.",
        TITLE = "Algebraic and Geometric Characterizations of Double-Cross Matrices of
Polylines",
        JOURNAL = IJGI,
        VOLUME = "5",
        YEAR = "2016",
        NUMBER = "9",
        PAGES = "152",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56493"}

@article{bb58568,
        AUTHOR = "Diaz del Rio, F. and Real, P. and Onchis, D.M.",
        TITLE = "A parallel Homological Spanning Forest framework for 2D topological
image analysis",
        JOURNAL = PRL,
        VOLUME = "83, Part 1",
        YEAR = "2016",
        NUMBER = "1",
        PAGES = "49-58",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56494"}

@inproceedings{bb58569,
        AUTHOR = "Diaz del Rio, F. and Molina Abril, H. and Real, P.",
        TITLE = "Computing the Component-Labeling and the Adjacency Tree of a Binary
Digital Image in Near Logarithmic-Time",
        BOOKTITLE = CTIC19,
        YEAR = "2019",
        PAGES = "82-95",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56495"}

@inproceedings{bb58570,
        AUTHOR = "Diaz del Rio, F. and Real, P. and Onchis, D.M.",
        TITLE = "Labeling Color 2D Digital Images in Theoretical Near Logarithmic Time",
        BOOKTITLE = CAIP17,
        YEAR = "2017",
        PAGES = "II: 391-402",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56496"}

@article{bb58571,
        AUTHOR = "Romero, A. and Rubio, J. and Sergeraert, F.",
        TITLE = "Effective homology of filtered digital images",
        JOURNAL = PRL,
        VOLUME = "83, Part 1",
        YEAR = "2016",
        NUMBER = "1",
        PAGES = "23-31",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56497"}

@article{bb58572,
        AUTHOR = "Bermudez Cameo, J.",
        TITLE = "New contributions on line-projections in omnidirectional vision",
        JOURNAL = ELCVIA,
        VOLUME = "15",
        YEAR = "2016",
        NUMBER = "2",
        PAGES = "24-26",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56498"}

@article{bb58573,
        AUTHOR = "Zhou, Z. and Huang, Y.Z. and Wang, L. and Tan, T.N.",
        TITLE = "Exploring generalized shape analysis by topological representations",
        JOURNAL = PRL,
        VOLUME = "87",
        YEAR = "2017",
        NUMBER = "1",
        PAGES = "177-185",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56499"}

@article{bb58574,
        AUTHOR = "Shen, J.W. and Zhou, T.G. and Chen, M.",
        TITLE = "A 27-Intersection Model for Representing Detailed Topological
Relations between Spatial Objects in Two-Dimensional Space",
        JOURNAL = IJGI,
        VOLUME = "6",
        YEAR = "2017",
        NUMBER = "2",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56500"}

@article{bb58575,
        AUTHOR = "Kuijpers, B. and Revesz, P.Z.",
        TITLE = "A Dynamic Data Structure to Efficiently Find the Points below a Line
and Estimate Their Number",
        JOURNAL = IJGI,
        VOLUME = "6",
        YEAR = "2017",
        NUMBER = "3",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56501"}

@article{bb58576,
        AUTHOR = "Hu, M.X. and Zhou, Y. and Li, X.J.",
        TITLE = "Robust and accurate computation of geometric distance for Lipschitz
continuous implicit curves",
        JOURNAL = VC,
        VOLUME = "33",
        YEAR = "2017",
        NUMBER = "6-8",
        MONTH = "June",
        PAGES = "937-947",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56502"}

@article{bb58577,
        AUTHOR = "Xie, P. and Liu, Y.L. and He, Q.S. and Zhao, X. and Yang, J.",
        TITLE = "An Efficient Vector-Raster Overlay Algorithm for High-Accuracy and
High-Efficiency Surface Area Calculations of Irregularly Shaped Land
Use Patches",
        JOURNAL = IJGI,
        VOLUME = "6",
        YEAR = "2017",
        NUMBER = "6",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56503"}

@article{bb58578,
        AUTHOR = "Zrira, N. and Bouyakhf, E.H.",
        TITLE = "A novel incremental topological mapping using global visual features",
        JOURNAL = IJCVR,
        VOLUME = "8",
        YEAR = "2018",
        NUMBER = "1",
        PAGES = "18-31",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56504"}

@article{bb58579,
        AUTHOR = "Assaf, R. and Goupil, A. and Vrabie, V. and Boudier, T. and Kacim, M.",
        TITLE = "Persistent homology for object segmentation in multidimensional
grayscale images",
        JOURNAL = PRL,
        VOLUME = "112",
        YEAR = "2018",
        PAGES = "277-284",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56505"}

@article{bb58580,
        AUTHOR = "Assaf, R. and Goupil, A. and Rammal, A. and Vrabie, V. and Kacim, M.",
        TITLE = "2D+t track detection via relative persistent homology",
        JOURNAL = IJIST,
        VOLUME = "31",
        YEAR = "2021",
        NUMBER = "2",
        PAGES = "753-762",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56506"}

@article{bb58581,
        AUTHOR = "Algarni, M. and Sundaramoorthi, G.",
        TITLE = "SurfCut: Surfaces of Minimal Paths from Topological Structures",
        JOURNAL = PAMI,
        VOLUME = "41",
        YEAR = "2019",
        NUMBER = "3",
        MONTH = "March",
        PAGES = "726-739",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56507"}

@article{bb58582,
        AUTHOR = "Jokanovic, S.",
        TITLE = "Two-dimensional line segment-triangle intersection test:
revision and enhancement",
        JOURNAL = VC,
        VOLUME = "35",
        YEAR = "2018",
        NUMBER = "10",
        MONTH = "October",
        PAGES = "1347-1359",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56508"}

@article{bb58583,
        AUTHOR = "Zhou, X.G. and He, H.Y. and Hou, D.Y. and Li, R. and Zheng, H.",
        TITLE = "A Refined Lines/Regions and Lines/Lines Topological Relations Model
Based on Whole-Whole Objects Intersection Components",
        JOURNAL = IJGI,
        VOLUME = "10",
        YEAR = "2021",
        NUMBER = "1",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56509"}

@article{bb58584,
        AUTHOR = "Tabaghi, P. and Dokmanic, I.",
        TITLE = "On Procrustes Analysis in Hyperbolic Space",
        JOURNAL = SPLetters,
        VOLUME = "28",
        YEAR = "2021",
        PAGES = "1120-1124",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56510"}

@article{bb58585,
        AUTHOR = "Zhang, L. and Pan, Z.G. and Shao, L.",
        TITLE = "Semi-Supervised Perception Augmentation for Aerial Photo Topologies
Understanding",
        JOURNAL = IP,
        VOLUME = "30",
        YEAR = "2021",
        PAGES = "7803-7814",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56511"}

@article{bb58586,
        AUTHOR = "Pan, H.H. and Chen, Y.Y. and He, Z.Y. and Meng, F.Y. and Fan, N.",
        TITLE = "TCDesc: Learning Topology Consistent Descriptors for Image Matching",
        JOURNAL = CirSysVideo,
        VOLUME = "32",
        YEAR = "2022",
        NUMBER = "5",
        MONTH = "May",
        PAGES = "2845-2855",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56512"}

@article{bb58587,
        AUTHOR = "Ni, J.H. and Chen, J. and Wu, Y. and Chen, Z. and Liang, M.",
        TITLE = "Method to Determine the Centroid of Non-Homogeneous Polygons Based on
Suspension Theory",
        JOURNAL = IJGI,
        VOLUME = "11",
        YEAR = "2022",
        NUMBER = "4",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56513"}

@article{bb58588,
        AUTHOR = "Chen, Y.P. and Wang, Z.G. and Shen, X.J.",
        TITLE = "An Unbiased Symmetric Matrix Estimator for Topology Inference Under
Partial Observability",
        JOURNAL = SPLetters,
        VOLUME = "29",
        YEAR = "2022",
        PAGES = "1257-1261",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56514"}

@article{bb58589,
        AUTHOR = "Zha, S.X. and Tian, D.Z. and Pappas, T.N.",
        TITLE = "Pattern-Based Reconstruction of K-Level Images From Cutsets",
        JOURNAL = IP,
        VOLUME = "31",
        YEAR = "2022",
        PAGES = "5529-5542",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56515"}

@article{bb58590,
        AUTHOR = "Dube, M.P.",
        TITLE = "Digital Relations in Z1: Discretized Time and Rasterized Lines",
        JOURNAL = IJGI,
        VOLUME = "14",
        YEAR = "2025",
        NUMBER = "9",
        PAGES = "327",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56516"}

@article{bb58591,
        AUTHOR = "Shi, Z.W. and Miao, X.Y. and Xiao, G. and Du, S.L. and Wang, Z. and Shen, H.T.",
        TITLE = "Topology Learning for Two-View Correspondence Filtering",
        JOURNAL = MultMed,
        VOLUME = "27",
        YEAR = "2025",
        PAGES = "7533-7545",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56517"}

@article{bb58592,
        AUTHOR = "Ahmadkhani, M. and Shook, E.",
        TITLE = "TopoSegNet: Scalable topology preservation in image segmentation via
critical points",
        JOURNAL = CVIU,
        VOLUME = "262",
        YEAR = "2025",
        PAGES = "104564",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56518"}

@inproceedings{bb58593,
        AUTHOR = "Zhou, J.S. and Ma, B.R. and Li, S. and Liu, Y.S. and Han, Z.Z.",
        TITLE = "Learning a More Continuous Zero Level Set in Unsigned Distance Fields
through Level Set Projection",
        BOOKTITLE = ICCV23,
        YEAR = "2023",
        PAGES = "3158-3169",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56519"}

@inproceedings{bb58594,
        AUTHOR = "Comic, L.",
        TITLE = "On the Number of 0-Tandems in Simple nD Digital 0-Connected Curves",
        BOOKTITLE = IWCIA22,
        YEAR = "2022",
        PAGES = "46-55",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56520"}

@inproceedings{bb58595,
        AUTHOR = "Palagyi, K. and Karai, G. and Kardos, P.",
        TITLE = "Sufficient Conditions for Topology-Preserving Parallel Reductions on
the BCC Grid",
        BOOKTITLE = IWCIA22,
        YEAR = "2022",
        PAGES = "71-83",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56521"}

@inproceedings{bb58596,
        AUTHOR = "Chacra, D.A. and Zelek, J.",
        TITLE = "The Topology and Language of Relationships in the Visual Genome
Dataset",
        BOOKTITLE = VDU22,
        YEAR = "2022",
        PAGES = "4859-4867",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56522"}

@inproceedings{bb58597,
        AUTHOR = "Yao, B. and Han, D.Z. and Kang, S.Y. and Chao, Y.Y. and He, L.F.",
        TITLE = "A Novel Method for Improving the Voxel-Pattern-Based Euler Number
Computing Algorithm of 3D Binary Images",
        BOOKTITLE = Binary22,
        YEAR = "2022",
        PAGES = "84-94",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56523"}

@inproceedings{bb58598,
        AUTHOR = "Sanchez Cuevas, P. and Real, P. and Diaz del Rio, F. and Molina Abril, H. and Moron Fernandez, M.J.",
        TITLE = "On the Topological Disparity Characterization of Square-Pixel Binary
Image Data by a Labeled Bipartite Graph",
        BOOKTITLE = IbPRIA22,
        YEAR = "2022",
        PAGES = "515-527",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56524"}

@inproceedings{bb58599,
        AUTHOR = "Hu, C.S. and Chung, Y.M.",
        TITLE = "A Sheaf and Topology Approach to Detecting Local Merging Relations in
Digital Images",
        BOOKTITLE = Diff-CVML21,
        YEAR = "2021",
        PAGES = "4391-4400",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT56525"}

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