Publications
Persistent Cohomology and Circular Coordinates.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Accepted: Discrete and Computational Geometry, 2009.
Quantifying Transversality by Measuring the Robustness of Intersections.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Manuscript, Deptartment of Computer Science, Duke University, Durham, North Carolina, 2009.
Zigzag Persistent Homology and Real-valued Functions.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.
Proceedings of the Annual Symposium on Computational Geometry, pages 247-256, 2009.
Computing Elevation Maxima by Searching the Gauss Sphere.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the International Symposium on Experimental Algorithms, Lecture Notes in Computer Science 5526, pages 281-292, 2009.
The Stability of the Apparent Contour of an Orientable 2-Manifold.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Workshop on Topological Methods in Data Analysis and Visualization, 2009.
Persistent Homology for Kernels, Images, and Cokernels.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pages 1011-1020, 2009.
Homological Illusions of Persistence and Stability.
Dmitriy Morozov.
Dmitriy Morozov.
Ph.D. Thesis, Duke University, 2008.
Inferring Local Homology from Sampled Stratified Spaces.
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007.
Persistence-Sensitive Simplification of Functions on 2-Manifolds.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 127-134, 2006.
Vines and Vineyards by Updating Persistence in Linear Time.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 119-126, 2006.
Persistence Algorithm Takes Cubic Time in the Worst Case.
Dmitriy Morozov.
Dmitriy Morozov.
BioGeometry News, Department of Computer Science, Duke University, Durham, NC, 2005.
Generic Matrix Multiplication and Memory Management in LinBox.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, pages 216-223, 2005.