@article{bb57900,
        AUTHOR = "Mazo, L. and Passat, N. and Couprie, M. and Ronse, C.",
        TITLE = "Digital Imaging: A Unified Topological Framework",
        JOURNAL = JMIV,
        VOLUME = "44",
        YEAR = "2012",
        NUMBER = "1",
        MONTH = "September",
        PAGES = "19-37",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55827"}

@inproceedings{bb57901,
        AUTHOR = "Mazo, L. and Passat, N. and Couprie, M. and Ronse, C.",
        TITLE = "A Unified Topological Framework for Digital Imaging",
        BOOKTITLE = DGCI11,
        YEAR = "2011",
        PAGES = "163-174",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55828"}

@inproceedings{bb57902,
        AUTHOR = "Mazo, L.",
        TITLE = "A Framework for Label Images",
        BOOKTITLE = CTIC12,
        YEAR = "2012",
        PAGES = "1-10",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55829"}

@article{bb57903,
        AUTHOR = "Ngo, P. and Passat, N. and Kenmochi, Y. and Talbot, H.",
        TITLE = "Topology-Preserving Rigid Transformation of 2D Digital Images",
        JOURNAL = IP,
        VOLUME = "23",
        YEAR = "2014",
        NUMBER = "2",
        MONTH = "February",
        PAGES = "885-897",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55830"}

@article{bb57904,
        AUTHOR = "Ngo, P. and Passat, N. and Kenmochi, Y. and Debled Rennesson, I.",
        TITLE = "Geometric Preservation of 2D Digital Objects Under Rigid Motions",
        JOURNAL = JMIV,
        VOLUME = "61",
        YEAR = "2019",
        NUMBER = "2",
        MONTH = "February",
        PAGES = "204-223",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55831"}

@inproceedings{bb57905,
        AUTHOR = "Ngo, P. and Kenmochi, Y. and Debled Rennesson, I. and Passat, N.",
        TITLE = "Convexity-Preserving Rigid Motions of 2D Digital Objects",
        BOOKTITLE = DGCI17,
        YEAR = "2017",
        PAGES = "69-81",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55832"}

@article{bb57906,
        AUTHOR = "Ngo, P. and Kenmochi, Y. and Passat, N. and Talbot, H.",
        TITLE = "Topology-Preserving Conditions for 2D Digital Images Under Rigid
Transformations",
        JOURNAL = JMIV,
        VOLUME = "49",
        YEAR = "2014",
        NUMBER = "2",
        MONTH = "June",
        PAGES = "418-433",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55833"}

@inproceedings{bb57907,
        AUTHOR = "Ngo, P. and Kenmochi, Y. and Passat, N. and Talbot, H.",
        TITLE = "Sufficient Conditions for Topological Invariance of 2D Images under
Rigid Transformations",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "155-168",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55834"}

@inproceedings{bb57908,
        AUTHOR = "Kenmochi, Y. and Ngo, P. and Talbot, H. and Passat, N.",
        TITLE = "Efficient Neighbourhood Computing for Discrete Rigid Transformation
Graph Search",
        BOOKTITLE = DGCI14,
        YEAR = "2014",
        PAGES = "99-110",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55835"}

@inproceedings{bb57909,
        AUTHOR = "Ngo, P. and Sugimoto, A. and Kenmochi, Y. and Passat, N. and Talbot, H.",
        TITLE = "Discrete Rigid Transformation Graph Search for 2D Image Registration",
        BOOKTITLE = PSIVTWS13,
        YEAR = "2013",
        PAGES = "228-239",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55836"}

@book{bb57910,
        AUTHOR = "Peters, J.F.",
        TITLE = "Topology of Digital Images:
Visual Pattern Discovery in Proximity Spaces",
        PUBLISHER = "Springer",
        YEAR = "2014",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55837"}

@article{bb57911,
        AUTHOR = "Birtea, P. and Comanescu, D. and Popa, C.A.",
        TITLE = "Averaging on Manifolds by Embedding Algorithm",
        JOURNAL = JMIV,
        VOLUME = "49",
        YEAR = "2014",
        NUMBER = "2",
        MONTH = "June",
        PAGES = "454-466",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55838"}

@article{bb57912,
        AUTHOR = "Azuela, J.H.S. and Espino, E.R. and Santiago, R. and Lopez, A. and Ayala, A.P. and Jimenez, E.V.C.",
        TITLE = "Alternative formulations to compute the binary shape Euler number",
        JOURNAL = IET-CV,
        VOLUME = "8",
        YEAR = "2014",
        NUMBER = "3",
        MONTH = "June",
        PAGES = "171-181",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55839"}

@article{bb57913,
        AUTHOR = "Richardson, E. and Werman, M.",
        TITLE = "Efficient classification using the Euler characteristic",
        JOURNAL = PRL,
        VOLUME = "49",
        YEAR = "2014",
        NUMBER = "1",
        PAGES = "99-106",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55840"}

@inproceedings{bb57914,
        AUTHOR = "Richardson, E. and Peleg, S. and Werman, M.",
        TITLE = "Scene geometry from moving objects",
        BOOKTITLE = AVSS14,
        YEAR = "2014",
        PAGES = "13-18",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55841"}

@article{bb57915,
        AUTHOR = "Climent, J. and Oliveira, L.S.",
        TITLE = "A new algorithm for number of holes attribute filtering of grey-level
images",
        JOURNAL = PRL,
        VOLUME = "53",
        YEAR = "2015",
        NUMBER = "1",
        PAGES = "24-30",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55842"}

@article{bb57916,
        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#TT55843"}

@article{bb57917,
        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#TT55844"}

@article{bb57918,
        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#TT55845"}

@article{bb57919,
        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#TT55846"}

@article{bb57920,
        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#TT55847"}

@article{bb57921,
        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#TT55848"}

@inproceedings{bb57922,
        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#TT55849"}

@inproceedings{bb57923,
        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#TT55850"}

@article{bb57924,
        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#TT55851"}

@article{bb57925,
        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#TT55852"}

@article{bb57926,
        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#TT55853"}

@article{bb57927,
        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#TT55854"}

@article{bb57928,
        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#TT55855"}

@article{bb57929,
        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#TT55856"}

@article{bb57930,
        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#TT55857"}

@article{bb57931,
        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#TT55858"}

@article{bb57932,
        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#TT55859"}

@article{bb57933,
        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#TT55860"}

@article{bb57934,
        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#TT55861"}

@article{bb57935,
        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#TT55862"}

@article{bb57936,
        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#TT55863"}

@article{bb57937,
        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#TT55864"}

@article{bb57938,
        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#TT55865"}

@article{bb57939,
        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#TT55866"}

@article{bb57940,
        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#TT55867"}

@article{bb57941,
        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#TT55868"}

@article{bb57942,
        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#TT55869"}

@article{bb57943,
        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#TT55870"}

@article{bb57944,
        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#TT55871"}

@article{bb57945,
        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#TT55872"}

@inproceedings{bb57946,
        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#TT55873"}

@inproceedings{bb57947,
        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#TT55874"}

@inproceedings{bb57948,
        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#TT55875"}

@inproceedings{bb57949,
        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#TT55876"}

@inproceedings{bb57950,
        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#TT55877"}

@inproceedings{bb57951,
        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#TT55878"}

@inproceedings{bb57952,
        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#TT55879"}

@inproceedings{bb57953,
        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#TT55880"}

@inproceedings{bb57954,
        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#TT55881"}

@inproceedings{bb57955,
        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#TT55882"}

@inproceedings{bb57956,
        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#TT55883"}

@inproceedings{bb57957,
        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#TT55884"}

@inproceedings{bb57958,
        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#TT55885"}

@inproceedings{bb57959,
        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#TT55886"}

@inproceedings{bb57960,
        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#TT55887"}

@inproceedings{bb57961,
        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#TT55888"}

@inproceedings{bb57962,
        AUTHOR = "Kropatsch, W.G. and Casablanca, R.M. and Batavia, D. and Gonzalez Diaz, R.",
        TITLE = "On the Space Between Critical Points",
        BOOKTITLE = DGCI19,
        YEAR = "2019",
        PAGES = "115-126",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55889"}

@inproceedings{bb57963,
        AUTHOR = "Sivignon, I.",
        TITLE = "Average Curve of n Digital Curves",
        BOOKTITLE = DGCI19,
        YEAR = "2019",
        PAGES = "481-493",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55890"}

@article{bb57964,
        AUTHOR = "Boutry, N. and Geraud, T. and Najman, L.",
        TITLE = "A Tutorial on Well-Composedness",
        JOURNAL = JMIV,
        VOLUME = "60",
        YEAR = "2018",
        NUMBER = "3",
        MONTH = "March",
        PAGES = "443-478",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55891"}

@inproceedings{bb57965,
        AUTHOR = "Boutry, N. and Najman, L. and Geraud, T.",
        TITLE = "Well-Composedness in Alexandrov Spaces Implies Digital
Well-Composedness in Zn",
        BOOKTITLE = DGCI17,
        YEAR = "2017",
        PAGES = "225-237",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55892"}

@inproceedings{bb57966,
        AUTHOR = "Mukherjee, S. and Bandyopadhyay, O. and Biswas, A. and Bhattacharya, B.B.",
        TITLE = "Does Rotation Influence the Estimated Contour Length of a Digital
Object?",
        BOOKTITLE = PReMI17,
        YEAR = "2017",
        PAGES = "179-186",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55893"}

@inproceedings{bb57967,
        AUTHOR = "Slapal, J.",
        TITLE = "A Relational Generalization of the Khalimsky Topology",
        BOOKTITLE = IWCIA17,
        YEAR = "2017",
        PAGES = "132-141",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55894"}

@inproceedings{bb57968,
        AUTHOR = "Sossa, H. and Carreon, A. and Santiago, R.",
        TITLE = "Training a Multilayered Perceptron to Compute the Euler Number of a 2-D
Binary Image",
        BOOKTITLE = MCPR16,
        YEAR = "2016",
        PAGES = "44-53",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55895"}

@inproceedings{bb57969,
        AUTHOR = "Guiheneuf, P.A.",
        TITLE = "Discretizations of Isometries",
        BOOKTITLE = DGCI16,
        YEAR = "2016",
        PAGES = "71-92",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55896"}

@inproceedings{bb57970,
        AUTHOR = "Sossa, H.",
        TITLE = "On the number of holes of a 2-D binary object",
        BOOKTITLE = MVA15,
        YEAR = "2015",
        PAGES = "299-302",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55897"}

@inproceedings{bb57971,
        AUTHOR = "Gerard, Y. and Vacavant, A.",
        TITLE = "About the Maximum Cardinality of the Digital Cover of a Curve with a
Given Length",
        BOOKTITLE = DGCI14,
        YEAR = "2014",
        PAGES = "13-24",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55898"}

@inproceedings{bb57972,
        AUTHOR = "Damiand, G. and Roussillon, T. and Solnon, C.",
        TITLE = "2D Topological Map Isomorphism for Multi-Label Simple Transformation
Definition",
        BOOKTITLE = DGCI14,
        YEAR = "2014",
        PAGES = "39-50",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55899"}

@inproceedings{bb57973,
        AUTHOR = "Castiglione, G. and Massazza, P.",
        TITLE = "An Efficient Algorithm for the Generation of Z-Convex Polyominoes",
        BOOKTITLE = IWCIA14,
        YEAR = "2014",
        PAGES = "51-61",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55900"}

@inproceedings{bb57974,
        AUTHOR = "Battaglino, D. and Frosini, A. and Guerrini, V. and Rinaldi, S. and Socci, S.",
        TITLE = "Binary Pictures with Excluded Patterns",
        BOOKTITLE = DGCI14,
        YEAR = "2014",
        PAGES = "25-38",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55901"}

@inproceedings{bb57975,
        AUTHOR = "Frosini, A. and Picouleau, C. and Rinaldi, S.",
        TITLE = "On the Degree Sequences of Uniform Hypergraphs",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "300-310",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55902"}

@inproceedings{bb57976,
        AUTHOR = "Frosini, A. and Picouleau, C.",
        TITLE = "How to Decompose a Binary Matrix into Three hv-convex Polyominoes",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "311-322",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55903"}

@inproceedings{bb57977,
        AUTHOR = "Cerri, A. and Landi, C.",
        TITLE = "The Persistence Space in Multidimensional Persistent Homology",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "180-191",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55904"}

@inproceedings{bb57978,
        AUTHOR = "Cerri, A. and Ethier, M. and Frosini, P.",
        TITLE = "The Coherent Matching Distance in 2D Persistent Homology",
        BOOKTITLE = CTIC16,
        YEAR = "2016",
        PAGES = "216-227",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55905"}

@inproceedings{bb57979,
        AUTHOR = "Cerri, A. and Ethier, M. and Frosini, P.",
        TITLE = "A Study of Monodromy in the Computation of Multidimensional Persistence",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "192-202",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55906"}

@inproceedings{bb57980,
        AUTHOR = "Chassery, J.M. and Sivignon, I.",
        TITLE = "Optimal Covering of a Straight Line Applied to Discrete Convexity",
        BOOKTITLE = DGCI13,
        YEAR = "2013",
        PAGES = "1-10",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55907"}

@inproceedings{bb57981,
        AUTHOR = "Lalitha, D. and Rangarajan, K. and Thomas, D.G.",
        TITLE = "Rectangular Arrays and Petri Nets",
        BOOKTITLE = IWCIA12,
        YEAR = "2012",
        PAGES = "166-180",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55908"}

@inproceedings{bb57982,
        AUTHOR = "Heras, J. and Denes, M. and Mata, G. and Mortberg, A. and Poza, M. and Siles, V.",
        TITLE = "Towards a Certified Computation of Homology Groups for Digital Images",
        BOOKTITLE = CTIC12,
        YEAR = "2012",
        PAGES = "49-57",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55909"}

@inproceedings{bb57983,
        AUTHOR = "Brendel, P. and Dlotko, P. and Mrozek, M. and Zelazna, N.",
        TITLE = "Homology Computations via Acyclic Subspace",
        BOOKTITLE = CTIC12,
        YEAR = "2012",
        PAGES = "117-127",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55910"}

@inproceedings{bb57984,
        AUTHOR = "Sagols, F. and Marin, R.",
        TITLE = "The Inscribed Square Conjecture in the Digital Plane",
        BOOKTITLE = IWCIA09,
        YEAR = "2009",
        PAGES = "411-424",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55911"}

@inproceedings{bb57985,
        AUTHOR = "Slapal, J.",
        TITLE = "Structuring Digital Spaces by Path-Partition Induced Closure Operators
on Graphs",
        BOOKTITLE = CompIMAGE16,
        YEAR = "2016",
        PAGES = "43-55",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55912"}

@inproceedings{bb57986,
        AUTHOR = "Slapal, J.",
        TITLE = "Adjacencies for Structuring the Digital Plane",
        BOOKTITLE = IWCIA12,
        YEAR = "2012",
        PAGES = "115-127",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55913"}

@inproceedings{bb57987,
        AUTHOR = "Slapal, J.",
        TITLE = "Convenient Closure Operators on Z2",
        BOOKTITLE = IWCIA09,
        YEAR = "2009",
        PAGES = "425-436",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55914"}

@inproceedings{bb57988,
        AUTHOR = "Slapal, J.",
        TITLE = "A Jordan Curve Theorem in the Digital Plane",
        BOOKTITLE = IWCIA11,
        YEAR = "2011",
        PAGES = "120-131",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55915"}

@inproceedings{bb57989,
        AUTHOR = "Slapal, J.",
        TITLE = "Jordan Curve Theorems with Respect to Certain Pretopologies on Z2",
        BOOKTITLE = DGCI09,
        YEAR = "2009",
        PAGES = "252-262",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55916"}

@inproceedings{bb57990,
        AUTHOR = "Manocha, D.",
        TITLE = "Digital Geometry Processing with Topological Guarantees",
        BOOKTITLE = DGCI08,
        YEAR = "2008",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55917"}

@inproceedings{bb57991,
        AUTHOR = "Rodriguez, M. and Largeteau Skapin, G. and Andres, E.",
        TITLE = "Local Non-planarity of Three Dimensional Surfaces for an Invertible
Reconstruction: k-Cuspal Cells",
        BOOKTITLE = ISVC08,
        YEAR = "2008",
        PAGES = "I: 925-934",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55918"}

@inproceedings{bb57992,
        AUTHOR = "Richard, A. and Wallet, G. and Fuchs, L. and Andres, E. and Largeteau Skapin, G.",
        TITLE = "Arithmetization of a Circular Arc",
        BOOKTITLE = DGCI09,
        YEAR = "2009",
        PAGES = "350-361",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55919"}

@inproceedings{bb57993,
        AUTHOR = "Fuchs, L. and Largeteau Skapin, G. and Wallet, G. and Andres, E. and Chollet, A.",
        TITLE = "A First Look into a Formal and Constructive Approach for Discrete
Geometry Using Nonstandard Analysis",
        BOOKTITLE = DGCI08,
        YEAR = "2008",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55920"}

@inproceedings{bb57994,
        AUTHOR = "Zhu, G.B. and Liu, X.L. and Jia, Z.G. and Li, Q.Q.",
        TITLE = "A Multi-Level Image Description Model Based on Digital Topology",
        BOOKTITLE = PIA07,
        YEAR = "2007",
        PAGES = "185",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55921"}

@inproceedings{bb57995,
        AUTHOR = "Kropatsch, W.G. and Haxhimusa, Y. and Lienhardt, P.",
        TITLE = "Hierarchies Relating Topology and Geometry",
        BOOKTITLE = CogVis03,
        YEAR = "2003",
        PAGES = "199-220",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55922"}

@inproceedings{bb57996,
        AUTHOR = "Klette, G.",
        TITLE = "Simple Points in 2D and 3D Binary Images",
        BOOKTITLE = CAIP03,
        YEAR = "2003",
        PAGES = "57-64",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55923"}

@inproceedings{bb57997,
        AUTHOR = "Wang, S. and Ji, J.X. and Liang, Z.P.",
        TITLE = "Landmark-based shape deformation with topology-preserving constraints",
        BOOKTITLE = ICCV03,
        YEAR = "2003",
        PAGES = "923-930",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55924"}

@inproceedings{bb57998,
        AUTHOR = "Klette, R.",
        TITLE = "Switches may solve adjacency problems",
        BOOKTITLE = ICPR02,
        YEAR = "2002",
        PAGES = "III: 907-910",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55925"}

@inproceedings{bb57999,
        AUTHOR = "Klette, R.",
        TITLE = "Topologies on the planar orthogonal grid",
        BOOKTITLE = ICPR02,
        YEAR = "2002",
        PAGES = "II: 354-357",
        BIBSOURCE = "http://www.visionbib.com/bibliography/twod289.html#TT55926"}

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