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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