Math @ Duke
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Books
- J. Pach and P.K. Agarwal, Combinatorial Geometry
(1995), John Wiley and Sons, New York
- M. Sharir and P.K. Agarwal, Davenport-Schinzel Sequences and Their Geometric Applications
(1995), Cambridge University Press, Cambridge-New York-Melbourne
- P. K. Agarwal, Intersection and Decomposition Algorithms for Planar Arrangements,
(1991), Cambridge University Press, Cambridge-New York-Melbourne
- P.K. Agarwal, Robotics: The Algorithmic Perspective, edited by L. Kavraki and M. Mason
(1998), A. K. Peters, Wellesley
Papers Published
- P.K. Agarwal, T. M. Murali, and J. S. Vitter, A new algorithm for constructing binary space partitions for orthogonal rectangles,
in Sixth European Symposium on Algorithms
(1998)
- P.K. Agarwal, L. Knipping, M. van Kreveld, T. Strijk, and A.Wolff, A simple and efficient algorithm for high quality line labeling,
in GIS Research UK: 7th National Conference
(1999) (Also appears in the Fifteenth European
Workshop on Computational Geometry, 1999.)
- L. Knipping, M. van Kreveld, T. Strijk, A. Wolff and P.K. Agarwal, A simple and eÆcient algorithm for high quality line labeling,
in Innovations in GIS VII: GeoComputation, edited by P. M. Atkinson and D. Martin
(2000),
pp. 147-159, Taylor and Francis, London
- P.K. Agarwal, A. Choudhary and S. Sengupta, A VME bus compatible FFT Processor,
in Conference on Signal Processing
(1983) (Cochin, India.)
- M. Sharir and P.K. Agarwal, Algorithmic techniques for geometric optimization,
in Computer Science Today: Recent Trends and Developments, Lecture Notes in Computer Science, vol. 1000; pp. 234-253, edited by J. van Leeuwen
(1995), Springer-Verlag, Berlin
- P.K. Agarwal, An efficient algorithm for partitioning arrangements of lines and its applications,
in Fifth Annual Symposium on Computational Geometry
(1989)
- P.K. Agarwal and M. Sharir, Applications of a new space partitioning technique,
in Second Workshop on Algorithms and Data Structures
(1991)
- K. R. Varadarajan and P.K. Agarwal, Approximating shortest paths on polyhedral terrains,
SIAM Journal on Computing, vol. 30
(2001),
pp. 1321-1340
- P.K. Agarwal and K. R. Varadarajan, Approximating shortest paths on polyhedral terrains,
in Thirty Eighth Annual Symposium on Foundations of Computer Science
(1997)
- H. Wang and P.K. Agarwal, Approximation algorithms for shortest paths with bounded curvature,
SIAM Journal on Computing, vol. 30
(2001),
pp. 1739-1772
- P.K. Agarwal and H. Wang, Approximation algorithms for shortest paths with bounded curvature,
in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
(1996)
- P.K. Agarwal and H. Wang, Approximation algorithms for shortest paths with bounded curvature,
in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
(1996)
- M. Sharir and P.K. Agarwal, Arrangements and their applications,
in Handbook of Computational Geometry, edited by J.-R. Sack and J. Urrutia
(2000),
pp. 49-119, North-Holland, New York
- M. Sharir and P.K. Agarwal, Circular visibility of a simple polygon from a fixed point,
International Journal of Computational Geometry and Applications, vol. 3
(1993),
pp. 1-25
- P.K. Agarwal, C. M. Procopiuc, M. Jones, and T.M. Murali, Classifcation using projective clustering,
ACM SIGMOD International Conference on Management of Data
(2002)
- P.K. Agarwal, A. Aggarwal, B. Aronov, S. Kosaraju, B. Shieber, and S. Suri, Computing all external-farthest neighbors for a simple polygon,
in First Canadian Conference on Computational Geometry
(1989)
- P.K. Agarwal, M. de Berg, D. Halperin, and M. Sharir, Computing depth orders in multiple directions,
in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
(1996)
- L. J. Guibas, S. Har-Peled, A. Rabinovitch, M. Sharir, and P.K. Agarwal, Computing the penetration depth of two convex polytopes in 3D,
Nordic J. Computing, vol. 7
(2000),
pp. 227-240
- P.K. Agarwal, L. Guibas, T. M. Murali, and J. S. Vitter, Cylindrical kinetic and static binary space partitions,
in Thirteenth Annual Symposium on Computational Geometry
(1997)
- M. Sharir and P.K. Agarwal, Davenport-Schinzel sequences and their geometric applications,
in Handbook of Computational Geometry, edited by J.-R. Sack and J. Urrutia
(2000),
pp. 1-47, North-Holland, New York
- J. Basch, L. J. Guibas, J. Hershberger, L. Zhang and P.K. Agarwal, Deformable free space tiling for kinetic collision detection,
in Algorithmic Foundations of Robotics, edited by B. Donald, K. Lynch, and D. Russ
(2001),
pp. 83-96, A.K. Peters, Natick, MA,
- P.K. Agarwal, J. Basch, L. J. Guibas, J. Hershberger, and L. Zhang, Deformable free space tiling for kinetic collision detection,
in Fourth Workshop on Algorithmic Foundations of Robotics
(2000)
- P.K. Agarwal, D. Eppstein, and J. Matousek, Dynamic half-space range searching with applications to proximity problems,
in Thirty Third Annual Symposium on Foundations of Computer Science
(1992)
- J. Matousek and P.K. Agarwal, Dynamic half-space searching and its applications,
Algorithmica, vol. 14
(1995),
pp. 325-345
- K. R. Varadarajan and P.K. Agarwal, Efficient algorithms for polygon simplification,
Discrete and Computational Geometry, vol. 23
(2000),
pp. 273-291
- H. Edelsbrunner, O. Schwarzkopf, E. Welzl and P.K. Agarwal, Euclidean minimum spanning tree and bichromatic closest pairs,
Discrete and Computational Geometry, vol. 6
(1991),
pp. 407-422
- P.K. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, Euclidean minimum spanning tree and bichromatic closest pairs,
in Sixth Annual Symposium on Computational Geometry
(1990)
- B. Aronov, S. Har-Peled, M. Sharir, and P.K. Agarwal, Exact and approximation algorithms for the minimum width annuli and shells,
Discrete and Computational Geometry, vol. 24
(2000),
pp. 687-705
- P.K. Agarwal, B. Aronov, S. Har-Peled, and M. Sharir, Exact and approximation algorithms for the minimum width annuli and shells,
in Fifteenth Annual Symposium on Computational Geometry
(1999)
- P.K. Agarwal and P. K. Desikan, Fast algorithms for surface simplication and other related problems,
in Eighth Annual ACM-SIAM Symposium on Discrete Algorithms
(1997)
- P.K. Agarwal, Geometric partitioning and its applications,
in Discrete and Computational Geometry: Papers from the DIMACS Special Year, edited by J. Goodman, R. Pollack, and W. Steiger
(1991),
pp. 1-37, American Mathematical Society (Providence, RI.)
- J. Erickson and P.K. Agarwal, Geometric range searching and its relatives,
in Advances in Discrete and Computational Geometry, edited by B. Chazelle, J. Goodman, and R. Pollack
(1998),
pp. 1-56, American Mathematical Society, Providence
- P.K. Agarwal, D. Halperin, and R. Pollack, Guest editors' foreword,
Discrete and Computational Geometry, vol. 25
(2001),
pp. 505-506
- P.K. Agarwal, Guest editors' foreword,
Discrete and Computational Geometry, vol. 26
(2001),
pp. 185-186
- P.K. Agarwal and S. A. Cook, Guest editors' foreword,
Journal of Computer and Systems Sciences, vol. 58
(1999),
pp. 259
- P.K. Agarwal, Guest editors' foreword,
International Journal of Computational Geometry and Applications, vol. 9
(1999),
pp. 325
- P.K. Agarwal, L. Arge, G. Brodal, and J. S. Vitter, I/O-efficient dynamic point location in monotone subdivisions,
in Tenth Annual ACM-SIAM Symposium on Discrete Algorithms
(1999)
- M. van Kreveld and P.K. Agarwal, Implicit point location in arrangement segments with application to motion planning,
International Journal of Computational Geometry and Applications, vol. 4
(1994),
pp. 369-383
- P.K. Agarwal and M. van Kreveld, Implicit point location in arrangement segments with application to motion planning,
in Twelfth Conference on Foundations of Software Technology and Theoretical Computer Science
(1992)
- T. Smith, D. Peuquet, and S. Menon, and P.K. Agarwal, KBGIS-II: A knowledge-based geographic information system,
International Journal of Geographical Information Systems, vol. 1
(1987),
pp. 149-172
- P.K. Agarwal, M. van Kreveld, and S. Suri, Label placement by maximum independent set in rectangles,
in Ninth Canadian Conference on Computational Geometry
(1997)
- N. Amenta, B. Aronov, M. Sharir, and P.K. Agarwal, Largest placements and motion planning of a convex polygon,
in Algorithms for Robotic Motion and Manipulation, pp. 143-154, edited by J.-P. Laumond and M. Overmars
(1997), A. K. Peters, Wellesley
- P.K. Agarwal, N. Amenta, B. Aronov, and M. Sharir, Largest placements and motion planning of a convex polygon,
in Second International Workshop on Algorithmic Foundations of Robotics
(1996)
- P.K. Agarwal, B. Aronov and S. Suri, Line stabbing bounds on triangulations in 3D,
in Eleventh Annual Symposium on Computational Geometry
(1995)
- P.K. Agarwal and K. R. Varadarajan, Linear approximation of convex objects,
in Seventh Canadian Conference on Computational Geometry
(1995)
- L. Guibas, J. Hershberger, E. Veach, and P.K. Agarwal, Maintaining structures for moving points,
Discrete and Computational Geometry, vol. 26
(2001),
pp. 253-374
- P.K. Agarwal, L. Guibas, J. Hershberger, and E. Veach, Maintaining structures for moving points,
in Fifth Workshop on Algorithms and Data Structures
(1997)
- Agarwal, PK; Cohen, R; Halperin, D; Mulzer, W, Maintaining the Union of Unit Discs under Insertions with Near-Optimal Overhead,
ACM Transactions on Algorithms, vol. 18 no. 3
(October, 2022) [doi] [abs]
- P.K. Agarwal, P. Raghavan, and H. Tamaki, Motion planning for a steering-constrained robot through moderate obstacles,
in Twenty Seventh Annual ACM Symposium on Theory of Computing
(1995)
- Agarwal, PK; Geft, T; Halperin, D; Taylor, E, Multi-robot motion planning for unit discs with revolving areas,
Computational Geometry: Theory and Applications, vol. 114
(October, 2023) [doi] [abs]
- P.K. Agarwal, S. Har-Peled, and Y.Wang, Occlusion culling for fast walkthrough in urban areas,
in Eurographics
(2001)
- Agarwal, PK; Katz, MJ; Sharir, M, On reverse shortest paths in geometric proximity graphs,
Computational Geometry: Theory and Applications, vol. 117
(February, 2024) [doi] [abs]
- P.K. Agarwal and M. Sharir, On the number of views of polyhedral terrains,
in Fifth Canadian Conference on Computational Geometry
(1993)
- P.K. Agarwal, On the numbers of congruent simplices in a point set,
in Seventeenth Annual Symposium on Computational Geometry
(2001)
- P.K. Agarwal, Partitioning arrangements of lines: I. A deterministic algorithm,
Discrete and Computational Geometry, vol. 5
(1990),
pp. 449-483
- P.K. Agarwal and M. van Kreveld, Polygon and connected component intersection searching,
in Third Workshop on Algorithms and Data Structures
(1993)
- P.K. Agarwal, (short communication) with T. M. Murali and J. S. Vitter, Practical techniques for constructing binary space partitions of rectangles,
in Thirteenth Annual Symposium on Computational Geometry
(1997)
- S. Sen and P.K. Agarwal, Randomized algorithms for geometric optimization,
in Handbook of Randomized Computation, edited by J. Pardalos, S. Rajasekaran, J. Reif, and J. Rolim
(2001),
pp. 151-201, Kluwar Academic Press, The Netherlands
- P.K. Agarwal, Range searching,
in CRC Handbook of Discrete and Computational Geometry, edited by J. Goodman and J. O'Rourke
(1997),
pp. 575-598, CRC Press, NewYork
- J. Matousek and P.K. Agarwal, Range searching with semialgebraic sets,
Discrete and Computational Geometry, vol. 11
(1994),
pp. 393-418
- P.K. Agarwal and J. Matousek, Range searching with semialgebraic sets,
in Seventeenth Symposium on Mathematical Foundations of Computer Science
(1992)
- P.K. Agarwal and M. Sharir, Ray shooting among convex polytopes in 3D,
in Fourth Annual ACM-SIAM Symposium on Discrete Algorithms
(1993)
- P.K. Agarwal, Ray shooting and other applications of spanning trees with low stabbing number,
SIAM Journal on Computing, vol. 21
(1992),
pp. 540-570
- P.K. Agarwal, Ray shooting and other applications of spanning trees with low stabbing number,
Fifth Annual Symposium on Computational Geometry
(1989)
- P.K. Agarwal and Micha Sharir, Red-blue intersection detection algorithms, with applications to motion planning and collision detection,
Fourth Annual Symposium on Computational Geometry
(1988)
- P.K. Agarwal,, Reporting all intersecting pairs of polytopes in two and three dimensions
(2004) [abs]
- P.K. Agarwal, M. de Berg, S. Har-Peled, M. Overmars, M. Sharir, and J. Vahrenhold, Reporting all intersecting pairs of polytopes in two and three dimensions,
in Seventh Workshop on Algorithms and Data Structures
(2001)
- P.K. Agarwal and S. Sen, Selection in monotone matrices and kth nearest neighbors,
in Fourth Scandinavian Workshop on Algorithm Theory
(1994)
- P.K. Agarwal and S. Suri, Simple and practical geometric algorithms,
ACM Computing Surveys, vol. 28
(1996)
- P.K. Agarwal and S. Suri, Simple and practical geometric algorithms,
ACM Computing Surveys, vol. 28
(1996)
- P.K. Agarwal, B. Aronov, J. O'Rourke, and C. Schevon, Star unfolding of a polytope with applications,
in Second Scandinavian Workshop on Algorithm Theory
(1990)
- P.K. Agarwal, C. M. Procopiuc, and S. Har-Peled, STAR-tree: An efficent self-adjusting index for moving points,
in Fourth Workshop on Algorithms Engineering and Experiments
(2002)
- P.K. Agarwal, M. van Kreveld, and M. Overmars, Storing and searching curved objects,
in Seventh Annual Symposium on Computational Geometry
(1991)
- P.K. Agarwal and S. Suri, Surface approximation and disjoint geometric covers,
in Fifth Annual ACM-SIAM Symposium on Discrete Algorithms
(1994)
- P.K. Agarwal, M. Sharir, and E. Welzl, The discrete 2-center problem,
in Thirteenth Annual Symposium on Computational Geometry
(1997)
- P.K. Agarwal, M. Dietze, S. Govindarajan, and J. Clark, The extinction debt revisited: population dynamics in a continuous space model,
in Ecological Society of America Annual Meeting
(2001)
- P.K. Agarwal, O. Schwarzkopf, and M. Sharir, The overlay of envelopes and their applications,
in Eleventh Annual Symposium on Computational Geometry
(1995)
- P.K. Agarwal, L. Arge and J. Vahrenhold, Time responsive indexing schemes for moving points,
in Seventh Workshop on Algorithms and Data Structures
(2001)
Papers Submitted
- P.K. Agarwal, C. M. Procopiuc, andand K. R. Varadarajan, An approximation algorithm for computing the two-line center,
submitted to Computational Geometry: Theory and Applications
(2002)
- P.K. Agarwal, R. Klein, C. Knauer, and M. Sharir, Computing the detour of polygonal curves
(2002) (submitted for publication.)
- P.K. Agarwal, S. Govindarajan, and L. Arge, CRB-tree: An eÆcient indexing scheme for range aggregate queries
(2002) (submitted for publication.)
- P.K. Agarwal (invited) with J. Basch, L.J. Guibas, J. Hershberger, and L. Zhang, Deformable free space tiling for kinetic collision detection,
submitted to International Journal of Robotics
(2002)
- P.K. Agarwal, M. Bern, D. Eppstein, N. Amenta, P. Chew, K. Clarkson, T. Dey, D. P. Dobkin, H. Edelsbrunner, C. Grimm, L. P. Guibas, J. Harer, J. Hass, A. Hicks, C. K. Johnson, G. Lerman, D. Letscher, P. Plassmann, E. Sedgwick, J. Snoeyink, J. Weeks, C. Y, Emerging challenges in computational topology
(2002) (to appear in 2002.)
- P.K. Agarwal and P. K. Desikan, Fast algorithms for surface simplication and other related problems,
submitted to Discrete and Computational Geometry
(1999) (Also appears as Technical
Report CS-1999-15, Department of Computer
Science, Duke University, 1999.)
- P.K. Agarwal and M. Sharir, On the numbers of congruent simplices in a point set,
to appear in Discrete and Computational Geometry
(2002)
- P.K. Agarwal, B. Bhattacharya, and S. Sen, Output-sensitive algorithms for uniform partitions of points,
in Algorithmica, in press
(2002)
- P.K. Agarwal, M. de Berg, S. Har-Peled, M. Overmars, M. Sharir and J. Vahrenhold, Reporting all intersecting pairs of polytopes in two and three dimensions,
submitted to Computational Geometry: Theory and Applications
(2002)
Other
- P.K. Agarwal, M. Sharir, and S. Toledo, An efficient multidimensional searching technique and its applications,
Technical Report CS-1993-20, Department of Computer Science, Duke University
(1993)
- P.K. Agarwal, Geometric Algorithms,
Technical Report TRCS85-17, Department of Computer Science, Santa Barbara
(1985)
- P.K. Agarwal, F. Brooks, A. Varshney, H.Weber, and W. Wright, Multiresolution hierarchy generation of polygonal models,
Technical Report CS-1995-20, Department of Computer Science, Duke University
(1995)
- P.K. Agarwal and M. T. Shing, Multiterminal flows in planar networks,
Technical Report TRCS86-07, Department of Computer Science, Santa Barbara
(1986)
- P.K. Agarwal, Range searching,
Technical Report CS-1996-05, Department of Computer Science, Duke University
(1996)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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