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@inproceedings{bb99901,
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@inproceedings{bb99902,
        AUTHOR = "Stelldinger, P. and Latecki, L.J.",
        TITLE = "3D Object Digitization: Majority Interpolation and Marching Cubes",
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@inproceedings{bb99903,
        AUTHOR = "Stelldinger, P. and Latecki, L.J.",
        TITLE = "3D Object Digitization: Topology Preserving Reconstruction",
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@book{bb99904,
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@article{bb99905,
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@inproceedings{bb99906,
        AUTHOR = "Stelldinger, P. and Kothe, U.",
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Tight Bounds Based on the Morphing Distance",
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        YEAR = "2003",
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@inproceedings{bb99907,
        AUTHOR = "Stelldinger, P.",
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@inproceedings{bb99908,
        AUTHOR = "Strand, R. and Stelldinger, P.",
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@article{bb99910,
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@article{bb99914,
        AUTHOR = "Bertrand, G. and Malgouyres, R.",
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        AUTHOR = "Malgouyres, R. and Frances, A.R.",
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NP-Complete",
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@article{bb99916,
        AUTHOR = "Adan, A. and Cerrada, C. and Feliu, V.",
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Organization for 3D Object Modeling",
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        AUTHOR = "Adan, A. and Cerrada, C. and Feliu, V.",
        TITLE = "Automatic pose determination of 3D shapes based on modeling wave sets:
a new data structure for object modeling",
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@article{bb99918,
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problems: An experimental analysis",
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@article{bb99919,
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@article{bb99920,
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Strongly Normal Partial Tilings of R^2 or R^3",
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Strongly Normal Partial Tilings of R^2 or R^3",
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@article{bb99922,
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A Topological Approach to Iso-Surfaces",
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96694"}

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Multi-Incidence and n-Surfaces",
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        NUMBER = "1",
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@inproceedings{bb99925,
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@inproceedings{bb99926,
        AUTHOR = "Alayrangues, S. and Peltier, S. and Damiand, G. and Lienhardt, P.",
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@article{bb99927,
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@article{bb99928,
        AUTHOR = "Zhu, Q.M.",
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@book{bb99929,
        AUTHOR = "Sommer, G.",
        TITLE = "Geometric Computing with Clifford Algebras:
Theoretical Foundations and Applications in Computer Vision and Robotics",
        PUBLISHER = "Springer-Verlag",
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@article{bb99930,
        AUTHOR = "Bulow, T. and Klette, R.",
        TITLE = "Digital Curves in 3D Space and a Linear-Time Length Estimation
Algorithm",
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@inproceedings{bb99931,
        AUTHOR = "Bulow, T. and Klette, R.",
        TITLE = "Rubber Band Algorithm for Estimating the Length of Digitized
Space-curves",
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96703"}

@inproceedings{bb99932,
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        TITLE = "Evaluation of Curve Length Measurements",
        BOOKTITLE = ICPR00,
        YEAR = "2000",
        PAGES = "Vol I: 610-613",
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@article{bb99933,
        AUTHOR = "Park, I.K. and Lee, K.M. and Lee, S.U.",
        TITLE = "Models and algorithms for efficient multiresolution topology estimation
of measured 3-D range data",
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        NUMBER = "4",
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@article{bb99934,
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        JOURNAL = PAMI,
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96706"}

@inproceedings{bb99935,
        AUTHOR = "Elad, A. and Kimmel, R.",
        TITLE = "Bending Invariant Representations for Surfaces",
        BOOKTITLE = CVPR01,
        YEAR = "2001",
        PAGES = "I:168-174",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96707"}

@article{bb99936,
        AUTHOR = "Sun, M.M. and Yang, J.",
        TITLE = "Topology Description for Data Distributions Using a Topology Graph With
Divide-and-Combine Learning Strategy",
        JOURNAL = SMC-B,
        VOLUME = "36",
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        NUMBER = "6",
        MONTH = "December",
        PAGES = "1296-1305",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96708"}

@book{bb99937,
        AUTHOR = "de Berg, M. and van Kreveld, M. and Overmars, M. and Schwarzkopf, O.",
        TITLE = "Computational Geometry: Algorithms and Applications",
        PUBLISHER = "Springer-Verlag",
        YEAR = "2000",
        MONTH = "January",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96709"}

@book{bb99938,
        AUTHOR = "Boissonnat, J.D. and Teillaud, M.",
        TITLE = "Effective Computational Geometry for Curves and Surfaces",
        PUBLISHER = "Springer",
        YEAR = "2006",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96710"}

@article{bb99939,
        AUTHOR = "Ciria, J.C. and de Miguel, A. and Dominguez, E. and Frances, A.R. and Quintero, A.",
        TITLE = "Local characterization of a maximum set of digital (26, 6)-surfaces",
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96711"}

@inproceedings{bb99940,
        AUTHOR = "Ciria, J.C. and de Miguel, A. and Dominguez, E. and Frances, A.R. and Quintero, A.",
        TITLE = "A Maximum Set of (26,6)-Connected Digital Surfaces",
        BOOKTITLE = IWCIA04,
        YEAR = "2004",
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96712"}

@article{bb99941,
        AUTHOR = "Ciria, J.C. and Dominguez, E. and Frances, A.R. and Quintero, A.",
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        JOURNAL = PRL,
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96713"}

@inproceedings{bb99942,
        AUTHOR = "Ciria, J.C. and Dominguez, E. and Frances, A.R. and Quintero, A.",
        TITLE = "Universal Spaces for (k,kbar)-Surfaces",
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        YEAR = "2009",
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        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96714"}

@inproceedings{bb99943,
        AUTHOR = "Ciria, J.C. and Dominguez, E. and Frances, A.R. and Quintero, A.",
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@article{bb99944,
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@inproceedings{bb99945,
        AUTHOR = "Melin, E.",
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@article{bb99946,
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@article{bb99947,
        AUTHOR = "Brimkov, V.E. and Klette, R.",
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@inproceedings{bb99948,
        AUTHOR = "Brimkov, V.E. and Klette, R.",
        TITLE = "Curves, Hypersurfaces, and Good Pairs of Adjacency Relations",
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@inproceedings{bb99949,
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@inproceedings{bb99950,
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@inproceedings{bb99951,
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Digital Curves in nD",
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@inproceedings{bb99952,
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@book{bb99953,
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@article{bb99954,
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@inproceedings{bb99958,
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@inproceedings{bb99959,
        AUTHOR = "Boutry, N. and Gonzalez Diaz, R. and Jimenez, M.J.",
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@inproceedings{bb99960,
        AUTHOR = "Gonzalez Diaz, R. and Ion, A. and Jose Jimenez, M. and Poyatos, R.",
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Persistent Homology",
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@article{bb99961,
        AUTHOR = "Gonzalez Diaz, R. and Jose Jimenez, M. and Medrano, B.",
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@article{bb99962,
        AUTHOR = "Gonzalez Diaz, R. and Jimenez, M.J. and Medrano, B.",
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Binary Images",
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@inproceedings{bb99963,
        AUTHOR = "Gonzalez Diaz, R. and Jimenez, M.J. and Medrano, B.",
        TITLE = "Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images",
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@inproceedings{bb99964,
        AUTHOR = "Gonzalez Diaz, R. and Jose Jimenez, M. and Medrano, B. and Molina Abril, H. and Real Jurado, P.",
        TITLE = "Integral Operators for Computing Homology Generators at Any Dimension",
        BOOKTITLE = CIARP08,
        YEAR = "2008",
        PAGES = "356-363",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96736"}

@article{bb99965,
        AUTHOR = "Gonzalez Diaz, R. and Ion, A. and Iglesias Ham, M. and Kropatsch, W.G.",
        TITLE = "Invariant Representative Cocycles of Cohomology Generators Using
Irregular Graph Pyramids",
        JOURNAL = CVIU,
        VOLUME = "115",
        YEAR = "2011",
        NUMBER = "7",
        MONTH = "July",
        PAGES = "1011-1022",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96737"}

@inproceedings{bb99966,
        AUTHOR = "Gonzalez Diaz, R. and Ion, A. and Iglesias Ham, M. and Kropatsch, W.G.",
        TITLE = "Irregular Graph Pyramids and Representative Cocycles of Cohomology
Generators",
        BOOKTITLE = GbRPR09,
        YEAR = "2009",
        PAGES = "263-272",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96738"}

@inproceedings{bb99967,
        AUTHOR = "Gonzalez Diaz, R. and Lamar, J. and Umble, R.",
        TITLE = "Cup Products on Polyhedral Approximations of 3D Digital Images",
        BOOKTITLE = IWCIA11,
        YEAR = "2011",
        PAGES = "107-119",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96739"}

@inproceedings{bb99968,
        AUTHOR = "Gonzalez Diaz, R. and Jose Jimenez, M. and Medrano, B.",
        TITLE = "Well-Composed Cell Complexes",
        BOOKTITLE = DGCI11,
        YEAR = "2011",
        PAGES = "153-162",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96740"}

@article{bb99969,
        AUTHOR = "Perriollat, M. and Hartley, R.I. and Bartoli, A.E.",
        TITLE = "Monocular Template-based Reconstruction of Inextensible Surfaces",
        JOURNAL = IJCV,
        VOLUME = "95",
        YEAR = "2011",
        NUMBER = "2",
        MONTH = "November",
        PAGES = "124-137",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96741"}

@inproceedings{bb99970,
        AUTHOR = "Bartoli, A.E. and Hartley, R.I. and Perriollat, M.",
        TITLE = "Monocular Template-based Reconstruction of Inextensible Surfaces",
        BOOKTITLE = BMVC08,
        YEAR = "2008",
        PAGES = "xx-yy",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96741"}

@inproceedings{bb99971,
        AUTHOR = "Malti, A. and Herzet, C.",
        TITLE = "Elastic Shape-from-Template with Spatially Sparse Deforming Forces",
        BOOKTITLE = CVPR17,
        YEAR = "2017",
        PAGES = "143-151",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96742"}

@inproceedings{bb99972,
        AUTHOR = "Malti, A. and Hartley, R.I. and Bartoli, A.E. and Kim, J.H.",
        TITLE = "Monocular Template-Based 3D Reconstruction of Extensible Surfaces
with Local Linear Elasticity",
        BOOKTITLE = CVPR13,
        YEAR = "2013",
        PAGES = "1522-1529",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96743"}

@article{bb99973,
        AUTHOR = "Brunet, F. and Bartoli, A.E. and Hartley, R.I.",
        TITLE = "Monocular template-based 3D surface reconstruction: Convex
inextensible and nonconvex isometric methods",
        JOURNAL = CVIU,
        VOLUME = "125",
        YEAR = "2014",
        NUMBER = "1",
        PAGES = "138-154",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96744"}

@inproceedings{bb99974,
        AUTHOR = "Brunet, F. and Hartley, R.I. and Bartoli, A.E. and Navab, N. and Malgouyres, R.",
        TITLE = "Monocular Template-Based Reconstruction of Smooth and Inextensible
Surfaces",
        BOOKTITLE = ACCV10,
        YEAR = "2010",
        PAGES = "III: 52-66",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96745"}

@book{bb99975,
        AUTHOR = "Abate, M. and Tovena, F.",
        TITLE = "Curves and Surfaces",
        PUBLISHER = "Springer",
        YEAR = "2012",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96746"}

@article{bb99976,
        AUTHOR = "Wu, C.J. and Tsai, W.H.",
        TITLE = "A Space-Mapping Method for Object Location Estimation Adaptive to
Camera Setup Changes for Vision-Based Automation Applications",
        JOURNAL = CirSysVideo,
        VOLUME = "22",
        YEAR = "2012",
        NUMBER = "1",
        MONTH = "January",
        PAGES = "157-162",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96747"}

@article{bb99977,
        AUTHOR = "Micheli, M. and Michor, P.W. and Mumford, D.",
        TITLE = "Sectional Curvature in Terms of the Cometric, with Applications to the
Riemannian Manifolds of Landmarks",
        JOURNAL = SIIMS,
        VOLUME = "5",
        YEAR = "2012",
        NUMBER = "1 2012",
        PAGES = "394",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96748"}

@inproceedings{bb99978,
        AUTHOR = "Micheli, M.",
        TITLE = "Effects of curvature on the analysis of landmark shape manifolds",
        BOOKTITLE = ICIP08,
        YEAR = "2008",
        PAGES = "1164-1167",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96749"}

@book{bb99979,
        AUTHOR = "Baerentzen, J.A. and Gravesen, J. and Anton, F. and Aanaes, H.",
        TITLE = "Guide to Computational Geometry Processing:
Foundations, Algorithms, and Methods",
        PUBLISHER = "Springer",
        YEAR = "2012",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96750"}

@article{bb99980,
        AUTHOR = "Wagner, H. and Dlotko, P.",
        TITLE = "Towards topological analysis of high-dimensional feature spaces",
        JOURNAL = CVIU,
        VOLUME = "121",
        YEAR = "2014",
        NUMBER = "1",
        PAGES = "21-26",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96751"}

@article{bb99981,
        AUTHOR = "Gutierrez, A. and Jimenez, M.J. and Monaghan, D. and O'Connor, N.E.",
        TITLE = "Topological evaluation of volume reconstructions by voxel carving",
        JOURNAL = CVIU,
        VOLUME = "121",
        YEAR = "2014",
        NUMBER = "1",
        PAGES = "27-35",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96752"}

@article{bb99982,
        AUTHOR = "Cabalar, P. and Santos, P.E.",
        TITLE = "A qualitative spatial representation of string loops as holes",
        JOURNAL = AI,
        VOLUME = "238",
        YEAR = "2016",
        NUMBER = "1",
        PAGES = "1-10",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96753"}

@article{bb99983,
        AUTHOR = "Comic, L. and Nagy, B.",
        TITLE = "A topological 4-coordinate system for the face centered cubic grid",
        JOURNAL = PRL,
        VOLUME = "83, Part 1",
        YEAR = "2016",
        NUMBER = "1",
        PAGES = "67-74",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96754"}

@article{bb99984,
        AUTHOR = "Kurlin, V.",
        TITLE = "A fast persistence-based segmentation of noisy 2D clouds with
provable guarantees",
        JOURNAL = PRL,
        VOLUME = "83, Part 1",
        YEAR = "2016",
        NUMBER = "1",
        PAGES = "3-12",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96755"}

@inproceedings{bb99985,
        AUTHOR = "Kurlin, V.",
        TITLE = "A Homologically Persistent Skeleton is a Fast and Robust Descriptor of
Interest Points in 2D Images",
        BOOKTITLE = CAIP15,
        YEAR = "2015",
        PAGES = "I:606-617",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96756"}

@inproceedings{bb99986,
        AUTHOR = "Kurlin, V.",
        TITLE = "A Fast and Robust Algorithm to Count Topologically Persistent Holes
in Noisy Clouds",
        BOOKTITLE = CVPR14,
        YEAR = "2014",
        PAGES = "1458-1463",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96757"}

@article{bb99987,
        AUTHOR = "Zeppelzauer, M. and Zielinski, B. and Juda, M. and Seidl, M.",
        TITLE = "A study on topological descriptors for the analysis of 3D surface
texture",
        JOURNAL = CVIU,
        VOLUME = "167",
        YEAR = "2018",
        PAGES = "74-88",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96758"}

@inproceedings{bb99988,
        AUTHOR = "Zeppelzauer, M. and Zielinski, B. and Juda, M. and Seidl, M.",
        TITLE = "Topological Descriptors for 3D Surface Analysis",
        BOOKTITLE = CTIC16,
        YEAR = "2016",
        PAGES = "77-87",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96759"}

@inproceedings{bb99989,
        AUTHOR = "Gonzalez Lorenzo, A. and Juda, M. and Bac, A. and Mari, J.L. and Real, P.",
        TITLE = "Fast, Simple and Separable Computation of Betti Numbers on
Three-Dimensional Cubical Complexes",
        BOOKTITLE = CTIC16,
        YEAR = "2016",
        PAGES = "130-139",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96760"}

@inproceedings{bb99990,
        AUTHOR = "Gonzalez Lorenzo, A. and Bac, A. and Mari, J.L. and Real, P.",
        TITLE = "Two Measures for the Homology Groups of Binary Volumes",
        BOOKTITLE = DGCI16,
        YEAR = "2016",
        PAGES = "154-165",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96761"}

@article{bb99991,
        AUTHOR = "Alderson, T. and Mahdavi Amiri, A. and Samavati, F.F.",
        TITLE = "Offsetting spherical curves in vector and raster form",
        JOURNAL = VC,
        VOLUME = "34",
        YEAR = "2018",
        NUMBER = "6-8",
        MONTH = "June",
        PAGES = "973-984",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96762"}

@article{bb99992,
        AUTHOR = "Molina Abril, H. and Real, P. and Diaz del Rio, F.",
        TITLE = "Generating (co)homological information using boundary scale",
        JOURNAL = PRL,
        VOLUME = "133",
        YEAR = "2020",
        PAGES = "240-246",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96763"}

@inproceedings{bb99993,
        AUTHOR = "Real, P. and Molina Abril, H. and Diaz del Rio, F. and Onchis, D.M.",
        TITLE = "Generating Second Order (Co)homological Information within AT-Model
Context",
        BOOKTITLE = CTIC19,
        YEAR = "2019",
        PAGES = "68-81",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96764"}

@article{bb99994,
        AUTHOR = "Zheng, P.F. and Liu, Q. and Lou, J.J. and Lian, C.J. and Lin, D.J.",
        TITLE = "A free-form surface flattening algorithm that minimizes geometric
deformation energy",
        JOURNAL = IET-IPR,
        VOLUME = "16",
        YEAR = "2022",
        NUMBER = "9",
        PAGES = "2544-2556",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96765"}

@article{bb99995,
        AUTHOR = "Nagy, B. and Saadat, M.R.",
        TITLE = "Digital geometry on a cubic stair-case mesh",
        JOURNAL = PRL,
        VOLUME = "164",
        YEAR = "2022",
        PAGES = "140-147",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96766"}

@article{bb99996,
        AUTHOR = "Reani, Y. and Bobrowski, O.",
        TITLE = "Cycle Registration in Persistent Homology With Applications in
Topological Bootstrap",
        JOURNAL = PAMI,
        VOLUME = "45",
        YEAR = "2023",
        NUMBER = "5",
        MONTH = "May",
        PAGES = "5579-5593",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96767"}

@article{bb99997,
        AUTHOR = "Aumentado Armstrong, T. and Tsogkas, S. and Dickinson, S.J. and Jepson, A.D.",
        TITLE = "Disentangling Geometric Deformation Spaces in Generative Latent Shape
Models",
        JOURNAL = IJCV,
        VOLUME = "131",
        YEAR = "2023",
        NUMBER = "7",
        MONTH = "July",
        PAGES = "1611-1641",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96768"}

@inproceedings{bb99998,
        AUTHOR = "Aumentado Armstrong, T. and Tsogkas, S. and Jepson, A.D. and Dickinson, S.J.",
        TITLE = "Geometric Disentanglement for Generative Latent Shape Models",
        BOOKTITLE = ICCV19,
        YEAR = "2019",
        PAGES = "8180-8189",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96769"}

@inproceedings{bb99999,
        AUTHOR = "Aumentado Armstrong, T. and Tsogkas, S. and Dickinson, S.J. and Jepson, A.D.",
        TITLE = "Representing 3D Shapes with Probabilistic Directed Distance Fields",
        BOOKTITLE = CVPR22,
        YEAR = "2022",
        PAGES = "19321-19332",
        BIBSOURCE = "http://www.visionbib.com/bibliography/describe487.html#TT96770"}

Last update:Nov 26, 2025 at 20:24:09