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Definition and Optimal Extraction Algorithm",
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@inproceedings{bb53515,
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@inproceedings{bb53516,
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        TITLE = "Computing Homology: A Global Reduction Approach",
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@article{bb53517,
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@inproceedings{bb53518,
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@article{bb53519,
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@article{bb53525,
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@inproceedings{bb53526,
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@inproceedings{bb53527,
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a Digital Object",
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@inproceedings{bb53528,
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@article{bb53529,
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@inproceedings{bb53532,
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Mathematical Morphology",
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polygons in remotely acquired images",
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@inproceedings{bb53542,
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@inproceedings{bb53543,
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@inproceedings{bb53548,
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@inproceedings{bb53550,
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@book{bb53551,
        AUTHOR = "Peters, J.F.",
        TITLE = "Topology of Digital Images:
Visual Pattern Discovery in Proximity Spaces",
        PUBLISHER = "Springer",
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@article{bb53552,
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@article{bb53553,
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@inproceedings{bb53555,
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@article{bb53556,
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@article{bb53558,
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@article{bb53559,
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@article{bb53560,
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@article{bb53561,
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@article{bb53562,
        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#TT51589"}

@inproceedings{bb53563,
        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#TT51590"}

@inproceedings{bb53564,
        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#TT51591"}

@article{bb53565,
        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#TT51592"}

@article{bb53566,
        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#TT51593"}

@article{bb53567,
        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#TT51594"}

@article{bb53568,
        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#TT51595"}

@article{bb53569,
        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#TT51596"}

@article{bb53570,
        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#TT51597"}

@article{bb53571,
        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#TT51598"}

@article{bb53572,
        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#TT51599"}

@article{bb53573,
        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#TT51600"}

@article{bb53574,
        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#TT51601"}

@article{bb53575,
        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#TT51602"}

@article{bb53576,
        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#TT51603"}

@article{bb53577,
        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#TT51604"}

@article{bb53578,
        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#TT51605"}

@article{bb53579,
        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#TT51606"}

@article{bb53580,
        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#TT51607"}

@article{bb53581,
        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#TT51608"}

@article{bb53582,
        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#TT51609"}

@article{bb53583,
        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#TT51610"}

@inproceedings{bb53584,
        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#TT51611"}

@inproceedings{bb53585,
        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#TT51612"}

@inproceedings{bb53586,
        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#TT51613"}

@inproceedings{bb53587,
        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#TT51614"}

@inproceedings{bb53588,
        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#TT51615"}

@inproceedings{bb53589,
        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#TT51616"}

@inproceedings{bb53590,
        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#TT51617"}

@inproceedings{bb53591,
        AUTHOR = "Bello, P. and Rodriguez, M. and de Ita, G.",
        TITLE = "Extremal Topologies for the Merrifield-Simmons Index on Dynamic Trees",
        BOOKTITLE = MCPR21,
        YEAR = "2021",
        PAGES = "68-77",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51618"}

@inproceedings{bb53592,
        AUTHOR = "Guo, S. and Hu, P.P. and Ling, Z.G. and Wen, H. and Liu, M. and Tang, L.",
        TITLE = "Exact and Convergent Iterative Methods to Compute the Orthogonal
Point-to-Ellipse Distance",
        BOOKTITLE = ICPR21,
        YEAR = "2021",
        PAGES = "5076-5082",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51619"}

@inproceedings{bb53593,
        AUTHOR = "Moroni, D. and Pascali, M.A.",
        TITLE = "Learning Topology: Bridging Computational Topology and Machine Learning",
        BOOKTITLE = IMTA20,
        YEAR = "2020",
        PAGES = "211-226",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51620"}

@inproceedings{bb53594,
        AUTHOR = "Boutry, N. and Gonzalez Diaz, R. and Jimenez, M.J. and Paluzo Hildago, E.",
        TITLE = "Euler Well-composedness",
        BOOKTITLE = IWCIA20,
        YEAR = "2020",
        PAGES = "3-19",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51621"}

@inproceedings{bb53595,
        AUTHOR = "Som, A. and Choi, H.J. and Ramamurthy, K.N. and Buman, M.P. and Turaga, P.",
        TITLE = "PI-Net: A Deep Learning Approach to Extract Topological Persistence
Images",
        BOOKTITLE = Diff-CVML20,
        YEAR = "2020",
        PAGES = "3639-3648",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51622"}

@inproceedings{bb53596,
        AUTHOR = "Jiang, Q. and Kurtek, S. and Needham, T.",
        TITLE = "The Weighted Euler Curve Transform for Shape and Image Analysis",
        BOOKTITLE = Diff-CVML20,
        YEAR = "2020",
        PAGES = "3685-3694",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51623"}

@inproceedings{bb53597,
        AUTHOR = "Jiang, Y. and Ji, D. and Han, Z. and Zwicker, M.",
        TITLE = "SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D
Shape Optimization",
        BOOKTITLE = CVPR20,
        YEAR = "2020",
        PAGES = "1248-1258",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51624"}

@inproceedings{bb53598,
        AUTHOR = "Real, P. and Molina Abril, H. and Diaz del Rio, F. and Blanco Trejo, S.",
        TITLE = "Homological Region Adjacency Tree for a 3D Binary Digital Image via HSF
Model",
        BOOKTITLE = CAIP19,
        YEAR = "2019",
        PAGES = "I:375-387",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51625"}

@inproceedings{bb53599,
        AUTHOR = "Comic, L. and Blesic, A.",
        TITLE = "On the Computation of the Euler Characteristic of Binary Images in the
Triangular Grid",
        BOOKTITLE = CAIP19,
        YEAR = "2019",
        PAGES = "II:556-567",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT51626"}