Research StatementComputational topology and geometry, computational structural biology,
computer graphics, visualization, programming methodology
Recent Publications
F. Cazals, J. Giesen, M. Pauly, and A. Zomorodian, The Conformal Alpha Shape Filtration, The Visual Computer, to appear.
@article{cgpz-cas-06,
author = "Cazals, F. and Giesen, J. and Pauly, M. and Zomorodian, A.",
title = "The Conformal Alpha Shape Filtration",
journal = "The Visual Computer",
year = 2006,
% volume = ??,
% number = ??,
% pages = ??,
note = "to appear"
}
A. Zomorodian, L. J. Guibas, and P. Koehl, Geometric Filtering of Pairwise Atomic Interactions Applied to the Design of Efficient Statistical Potentials, Computer Aided Geometric Design, to appear.
@article{zomorodian2006geometric,
title={Geometric filtering of pairwise atomic interactions applied to the design of efficient statistical potentials},
author={Zomorodian, Afra and Guibas, Leonidas and Koehl, Patrice},
journal={Computer Aided Geometric Design},
volume={23},
number={6},
pages={531--544},
year={2006},
publisher={Elsevier}
}
G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas. Persistence Barcodes for Shapes. International Journal of Shape Modeling, 11 (2005), 149-187.
@article{czcg-pbs-05,
title = "Persistence Barcodes for Shapes",
author = "Carlsson, G. and Zomorodian, A. and Collins, A. and Guibas, L. J.",
journal = "International Journal of Shape Modeling",
year = 2005,
volume = 11,
number = 2,
pages = "149--187",
}
F. Cazals, J. Giesen, M. Pauly, A. Zomorodian, Conformal Alpha Shapes, Symposium on Point-Based Graphics (2005), pp. 55-61.
@InProceedings{cgpz-cas-05,
title = "Conformal Alpha Shapes",
author = "Cazals, F. and Giesen, J. and Pauly, M. and Zomorodian, A.",
booktitle = "Proc. Symp. Point-Based Graph.",
year = 2005,
pages = "55---61",
}
A. Zomorodian, G. Carlsson, Computing Persistent Homology, Discrete and Computational Geometry 33 (2005), 249-274.
@article{zc-cph-05,
author = "Zomorodian, A. and Carlsson, G.",
title = "Computing Persistent Homology",
journal = "Discrete Comput. Geom.",
year = 2005,
volume = 33,
number = 2,
pages = "249--274",
}
A. Collins, A. Zomorodian, G. Carlsson, and L. Guibas. A Barcode Shape Descriptor for Curve Point Cloud Data. Computers & Graphics 28 (2004), pp. 881-894.
@article{czcg-bsdcpcd-04b,
author = "Collins, A. and Zomorodian, A. and Carlsson, G. and Guibas, L.",
title = "A Barcode Shape Descriptor for Curve Point Cloud Data",
journal = "Computers and Graphics",
year = 2004,
volume = 28,
pages = "881--894",
}
A. Zomorodian, G. Carlsson, Computing Persistent Homology, Proc. Symp. Comput. Geom. (2004), pp. 347-356.
@inproceedings{zc-cph-04,
title = "Computing Persistent Homology",
author = "Zomorodian, A. and Carlsson, G.",
booktitle = "Proc. 20th Ann. ACM Sympos. Comput. Geom.",
year = 2004,
pages = 347--356,
}
A. Collins, A. Zomorodian, G. Carlsson, and L. Guibas. A Barcode Shape Descriptor for Curve Point Cloud Data. Proc. Symp. Point-Based Graphics (2004), pp. 181-191.
@Inproceedings{czcg-bsdcpcd-04,
title = "A Barcode Shape Descriptor for Curve Point Cloud Data",
author = "Collins, A. and Zomorodian, A. and Carlsson, G. and Guibas, L.",
booktitle = "Proc. Symp. Point-Based Graph.",
year = 2004,
pages = 181--191,
}
G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas. Persistence Barcodes for Shapes. Proc. Symp. Geometry Processing (2004), pp. 127-138.
@inproceedings{czcg-pbs-04,
title = "Persistence Barcodes for Shapes",
author = "Carlsson, G. and Zomorodian, A. and Collins, A. and Guibas, L.",
booktitle = "Proc. Geometry Process.",
year = 2004,
pages = "127--138",
}
H. Edelsbrunner, J. Harer, A. Zomorodian, Hierarchical Morse-Smale Complexes for Piecewise Linear 2-Manifolds, Discrete Comp. Geom., 30 (2003), 87-107.
@article{ehz-hmscpl2m-03,
author = "Edelsbrunner, H. and Harer, J. and Zomorodian, A.",
title = "Hierarchical Morse-Smale Complexes for Piecewise Linear 2-Manifolds",
journal = "Discrete Computer Geometry",
year = 2003,
}
H. Edelsbrunner and A. Zomorodian, Computing Linking Numbers of a Filtration, Homology, Homotopy and Applications, 5:2 (2003), 19-37.
@article{ez-clnf-03,
author = "Edelsbrunner, H. and Zomorodian, A.",
title = "Computing Linking Numbers in a Filtration",
journal = "Homology, Homotopy and Applications",
pages = "19--37",
volume = 5,
number = 2,
year = 2003,
}
H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological Persistence and Simplification, Discrete Comput. Geom., 28 (2002), 511--533.
@article{elz-tps-02,
author = "Edelsbrunner, H. and Letscher, D. and Zomorodian, A.",
title = "Topological persistence and simplification",
journal = "Discrete Comput. Geom.",
year = 2002,
volume = 28,
pages = "511--533",
}
A. Zomorodian and H. Edelsbrunner, Fast Software for Box Intersection, Int. J. Comput. Geom. Appl., 12 (2002), 143-172.
@article{ze-fsbi-02,
author = "Zomorodian, A. and Edelsbrunner, H.",
title = "Fast Software for Box Intersection",
journal = "Int. J. Comput. Geom. Appl.",
year = 2002,
volume = 12,
pages = "143--172",
}
H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse Complexes for Piecewise Linear 2-Manifolds, In Proc. 17th. Ann. ACM Sympos. Comput. Geom. (2001), pp. 70-79.
@InProceedings{,ehz-hmcpl2m-01,
author = "Edelsbrunner, H. and Harer, J. and Zomorodian, A.",
title = "Hierarchical Morse Complexes for Piecewise Linear 2-Manifolds",
booktitle = "Proc. 17th Ann. ACM Sympos. Comput. Geom.",
year = 2001,
pages = "70--79",
}
H. Edelsbrunner and A. Zomorodian, Computing Linking Numbers in a Filtration, Algorithms in Bioinformatics (LNCS 2149) (2001), pp. 112-127.
@incollection{ez-clnf-01,
author = "Edelsbrunner, H. and Zomorodian, A.",
title = "Computing Linking Numbers in a Filtration",
booktitle = "Algorithms in Bioinformatics (LNCS 2149)",
pages = "112--127",
publisher = "Springer",
address = "Berlin",
year = 2001,
}
H. Edelsbrunner, D. Letscher, A. Zomorodian, Topological Persistence and Simplification, In Proc. 41st Ann. IEEE Sympos. Found Comput. Sci (2000), pp. 454-463.
@InProceedings{elz-tps-00,
author = "Edelsbrunner, H. and Letscher, D. and Zomorodian, A.",
title = "Topological persistence and simplification",
booktitle = "Proc. 41st Ann. IEEE Sympos. Found Comput. Sci.",
year = 2000,
pages = "454--463",
}
A. Zomorodian and H. Edelsbrunner, Fast Software for Box Intersection, In Proc. 16th Ann. ACM Sympos. Comput. Geom. (2000), pp. 129-138.
@Inproceedings{ze-fsbi-00,
author = "Zomorodian, A. and Edelsbrunner, H.",
title = "Fast Software for Box Intersection",
booktitle = "Proc. 16th Ann. ACM Sympos. Comput. Geom.",
year = 2000,
pages = "129--138",
}
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