Anil N. Hirani : Publications, Preprints, and E-prints

Anil N. Hirani : Publications, Preprints, and E-prints

New (32) Anil N. Hirani, Kaushik Kalyanaraman, and Evan VanderZee
Delaunay Hodge Star
E-print arXiv:1204.0747 [cs.CG] on arxiv.org, 2012.
(PDF, Abstract, BibTeX)

New (31) Alan Demlow and Anil N. Hirani.
A posteriori error estimates for finite element exterior calculus: The de Rham complex
E-print arXiv:1203.0803 [math.NA] on arxiv.org, 2012.
(PDF, Abstract, BibTeX)

New (30) Nathan Bell and Anil N. Hirani.
PyDEC: Software and Algorithms for Discretization of Exterior Calculus
ACM Transactions on Mathematical Software (To appear), 2012.
(PDF, Abstract, BibTeX)

(29) Anil N. Hirani, Kaushik Kalyanaraman, Han Wang, and Seth Watts.
Cohomologous Harmonic Cochains
E-print arXiv:1012.2835 [cs.CG] on arxiv.org, 2011.
(PDF, Abstract, BibTeX)

(28) Anil N. Hirani, Kaushik Kalyanaraman, and Seth Watts.
Least Squares Ranking on Graphs
E-print arXiv:1011.1716 [cs.NA] on arxiv.org, 2011.
(PDF, Abstract, BibTeX)

(27) Anil N. Hirani and Kaushik Kalyanaraman.
Numerical Experiments for Darcy Flow on a Surface Using Mixed Exterior Calculus Methods
E-print arXiv:1103.4865v1 [cs.NA] on arxiv.org, 2011.
(PDF, Abstract, BibTeX)

(26) Tamal K. Dey, Anil N. Hirani and Bala Krishnamoorthy.
Optimal Homologous Cycles, Total Unimodularity, and Linear Programming
SIAM Journal on Computing
(A journal of the Society for Industrial and Applied Mathematics),
Vol. 40, No. 4, 2011, pp. 1026--1044
This is a journal version of the preliminary results that appeared
in our STOC 2010 paper and contains additional results.
(PDF, DOI:10.1137/100800245, BibTeX)

(25) Nathan M. Dunfield and Anil N. Hirani.
The Least Spanning Area of a Knot and the Optimal Bounding Chain Problem
SoCG 2011 (ACM Symposium on Computational Geometry)
pp. 135--144, Paris, France, June 13-15, 2011.
( DOI:10.1145/1998196.1998218 PDF, BibTeX)

(24) Tamal K. Dey, Anil N. Hirani and Bala Krishnamoorthy.
Optimal Homologous Cycles, Total Unimodularity, and Linear Programming
STOC '10 : 42nd ACM Symposium on Theory of Computing
pp. 221--230, Cambridge, Massachusetts, June 6-8, 2010 .
(DOI:10.1145/1806689.1806721, PDF, BibTeX)

(23) E. VanderZee, A. N. Hirani, D. Guoy, E. Ramos.
Well-Centered Triangulation.
SIAM Journal on Scientific Computing
(A journal of the Society for Industrial and Applied Mathematics),
Vol. 31, No. 6, 2010, pp. 4497--4523.
( DOI:10.1137/090748214, PDF BibTeX)

(22) E. VanderZee, A. N. Hirani, V. Zharnitsky, D. Guoy.
A Dihedral Acute Triangulation of the Cube.
Computational Geometry: Theory and Applications
(Elsevier journal),
Vol. 43, No. 5, 2010, pp. 445--452.
( DOI:10.1016/j.comgeo.2009.09.001, PDF BibTeX)

(21) E. VanderZee, A. N. Hirani, D. Guoy, V. Zharnitsky, E. Ramos.
Geometric and Combinatorial Properties of Well-Centered Triangulations in Three and Higher Dimensions.
E-print arXiv:0912.3097v1[cs.CG] on arxiv.org, 2009.
(PDF, Abstract)

(20) A. Colombi, A. N. Hirani, B. F. Villac.
Structure preserving approximations of conservative forces for application to small body dynamics.
Journal of Guidance, Control, and Dynamics
(A journal of the American Institute of Aeronautics and Astronautics (AIAA)),
Vol. 32, No. 6, November-December 2009, pp. 1847--1858.
( DOI:10.2514/1.42067, PDF, BibTeX)

(19) A. N. Hirani, K. B. Nakshatrala, J. H. Chaudhry.
Numerical method for Darcy flow derived using Discrete Exterior Calculus.
E-print arXiv:0810.3434 [math.NA] on arxiv.org, 2008.
(Updated 2011)
(PDF, Abstract, BibTeX)

(18) E. VanderZee, A. N. Hirani, D. Guoy.
Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra.
Proceedings of the 17th International Meshing Roundtable,
Pittsburgh, Pennsylvania, October 12-15, 2008, pp. 19--35
( DOI:10.1007/978-3-540-87921-3_2, PDF, BibTeX)

(17) A. Colombi, A. N. Hirani, B. F. Villac.
Structure preserving approximations of conservative forces for application to small body dynamics.
Proceedings of AAS/AIAA Astrodynamics Specialist Conference, Paper AIAA 2008-7205,
American Astronautical Society and American Institute of Aeronautics and Astronautics (AAS/AIAA),
Honolulu, Hawaii, Aug. 18-21, 2008.
(PDF, BibTeX)

(16) A. Colombi, A. N. Hirani, B. F. Villac.
Adaptive Gravitational Force Representation for Fast Trajectory Propagation Near Small Bodies.
Journal of Guidance, Control, and Dynamics
(A journal of the American Institute of Aeronautics and Astronautics (AIAA)),
Vol. 31, No. 4, July-August 2008, pp. 1041--1051.
(PDF, DOI:10.2514/1.32559, BibTeX)

(15) J. Warren, S. Schaefer, A. N. Hirani, M. Desbrun.
Barycentric Coordinates for Convex Sets.
Advances in Computational Mathematics
(Springer journal)
Vol. 27, No. 3, October 2007, pp. 319--338.
( DOI:10.1007/s10444-005-9008-6, PDF, BibTeX)

(14) E. VanderZee, A. N. Hirani, D. Guoy, E. Ramos.
Well-Centered Planar Triangulation -- an Iterative Approach.
Proceedings of the 16th International Meshing Roundtable,
Seattle, Washington, October 14 -- 17, 2007, pp. 121--138.
( DOI:10.1007/978-3-540-75103-8_7, PDF, BibTeX)

(13) J. Jossey, A. N. Hirani.
Equivalence Theorems in Numerical Analysis : Integration, Differentiation and Interpolation.
E-print arXiv:0709.4046v1 [math.NA] on arxiv.org, 2007.
(PDF, Abstract, BibTeX)

(12) A. Colombi, A. N. Hirani, B. F. Villac.
Efficient Gravity Field Computation for Trajectory Propagation Near Small Bodies.
Proceedings of 17th AAS/AIAA Space Flight Mechanics Meeting, Paper AAS 07-223,
American Astronautical Society and American Institute of Aeronautics and Astronautics (AAS/AIAA),
Sedona, Arizona, Jan. 28 -- Feb. 1, 2007.
(PDF, BibTeX)

(11) A. N. Hirani, R. P. Russell.
Approximations of Distant Retrograde Orbits for Mission Design.
Proceedings of 16th AAS/AIAA Space Flight Mechanics Meeting, Paper AAS 06-116,
American Astronautical Society and American Institute of Aeronautics and Astronautics (AAS/AIAA),
Tampa, Florida, Jan. 22--26, 2006.
(PDF)

(10) T. Lam, A. N. Hirani, J. A. Kangas.
Characteristics of Transfers to and Captures at Europa.
Proceedings of 16th AAS/AIAA Space Flight Mechanics Meeting, Paper AAS 06-188,
American Astronautical Society and American Institute of Aeronautics and Astronautics (AAS/AIAA),
Tampa, Florida, Jan. 22--26, 2006.
(PDF)

(9) A. N. Hirani, M. W. Lo.
Surface Structure of an Invariant Manifold of a Halo Orbit.
Proceedings of 2005 AAS/AIAA Astrodynamics Specialists Conference, Paper AAS 05-379,
American Astronautical Society and American Institute of Aeronautics and Astronautics (AAS/AIAA),
Lake Tahoe, August 7--11, 2005.
(PDF)

(8) M. Desbrun, A. N. Hirani, M. Leok, J. E. Marsden.
Discrete Exterior Calculus.
E-print arXiv:math/0508341v2 [math.DG] on arxiv.org, 2005.
(PDF, Abstract)

2004 and earlier (before coming to Illinois)

(7) M. Desbrun, A. N. Hirani, J. E. Marsden.
Discrete Exterior Calculus for Variational Problems in Computer Graphics and Vision.
Proceedings of the 42nd IEEE Conference on Decision and Control,
Honolulu, December 9--12, Vol. 5, 2003, pp. 4902--4907.
(Invited paper)
(DOI:10.1109/CDC.2003.1272393, PDF)

(6) E. Grinspun, A. N. Hirani, M. Desbrun, P. Schröder.
Discrete Shells.
SCA '03: Proceedings of the 2003 ACM SIGGRAPH / Eurographics Symposium on Computer Animation,
July 26--27, 2003, pp. 62--67.
(PDF)

(5) Y. Tong, S. Lombeyda, A. N. Hirani, M. Desbrun.
Discrete Multiscale Vector Field Decomposition.
ACM Transactions on Graphics, Vol. 22, No. 3, July 2003, pp. 445--452.
(Proceedings of ACM SIGGRAPH 2003)
(PDF)

(4) A. N. Hirani, J. E. Marsden, J. Arvo.
Averaged Template Matching Equations.
Proceedings of Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR 2001),
Springer Verlag Lecture Notes in Computer Science LNCS 2134, 2001, pp. 528--543.
(PDF)

(3) A. N. Hirani, T. Totsuka.
Combining Frequency and Spatial Domain Information for Fast Interactive Image Noise Removal.
Proceedings of ACM SIGGRAPH 1996, 1996, pp. 269--276.
(PDF)

(2) A. N. Hirani, T. Totsuka,
Dual Domain Interactive Image Restoration: Basic Algorithm,
Proceedings of the IEEE International Conference on Image Processing, Vol. 1, 1996, pp. 797--800.
(PDF)

(1) A. N. Hirani, V. S. Subrahmanian,
Algebraic Foundations of Logic Programming I: The Distributive Lattice of Logic Programs,
Fundamenta Informaticae,
(A journal of the Polish Mathematical Society)
Vol. 13, No. 3, September 1990, pp. 317--332.

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