A partial list of citations

A partial list of citations

In books:

  1. F. Aurenhammer, R. Klein and D T Lee, Voronoi Diagrams and Delaunay Triangulations, World Scientific, Singapore, 2013.

  2. M. de Berg, M. Van Kreveld, M. Overmars and O. Schwarzkopf, Computational Geometry: Algorithms and Applications, Springer, 1997.

  3. M. Brazil and M. Zachariasen, Optimal Interconnection Trees in the Plane, Springer International Publishing, 2015.

  4. F Bullo, J Cortes and S Martinez, Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms, Princeton University Press, 2009.

  5. K. Klamroth, Single-Facility Location Problems with Barriers, Springer-Verlag, 2002.

  6. J-C Latombe, Robot Motion Planning, Kluwer Academic Publishers, 1991.

  7. S. M. LaValle, Planning Algorithms, Cambridge University Press, 2006.

  8. F. Li and R. Klette, Euclidean Shortest Paths: Exact or Approximate Algorithms, Springer, 2011.

  9. F. M. Malley, Single-layer wire routing and compaction, MIT Press, 1990.

  10. J. O'Rourke, Art Gallery Theorems and Algorithms, Oxford University Press, 1987.

  11. J. O'Rourke, Computational Geometry in C, Cambridge University Press, 1994 (Second Edition in 1998).

  12. J. P. Spinrad, Efficient Graph Representations, American Mathematical Society, 2003.

In handbooks:

  1. M. J. Atallah and D. Z. Chen, Deterministic parallel computational geometry, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 4, pp. 155-200, 2000.

  2. L. de Floriani, P. Magillo and E. Puppo, Applications to computational geometry to geographic information systems, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 7, pp. 333-388, 2000.

  3. M. T. Goodrich, Parallel algorithms in geometry, Handbook of Discrete and Computational Geometry (Ed. J. E. Goodman and J. O'Rourke), CRC Press, Florida, Chapter 36, pp. 953-967, 2004.

  4. M. Keil, Polygon Decomposition, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 11, pp. 491-518, 2000.

  5. D. T. Lee, Computational geometry, The Computer Science and Engineering Handbook (Ed. A. Tucker), CRC Press, Florida, Chapter 6, pp. 111-135, 1996.

  6. D. T. Lee, Computational geometry II, Handbook on Algorithms and Theory of Computation (Ed. M. Atallah), CRC Press, Florida, Chapter 20, 1998.

  7. A. Maheshwari, J.-R. Sack and D. Djidjev, Link Distance Problems, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 12, pp. 519-558, 2000.

  8. J. B. Mitchell, Geometric shortest paths and network optimization, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 15, pp. 633-702, 2000.

  9. J. B. Mitchell, Shortest paths and networks, Handbook of Discrete and Computational Geometry (Ed. J. E. Goodman and J. O'Rourke), CRC Press, Florida, Chapter 27, pp. 607-641, 2004.

  10. J. O'Rourke, Visibility, Handbook of Discrete and Computational Geometry (Ed. J. E. Goodman and J. O'Rourke), CRC Press, Florida, Chapter 25, pp. 643-663, 2004.

  11. J. O'Rourke and S. Suri, Polygons, Handbook of Discrete and Computational Geometry (Ed. J. E. Goodman and J. O'Rourke), CRC Press, Florida, Chapter 23, pp. 583-606, 2004.

  12. J. Urrutia, Art Gallery and illumination problems, Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia), Elsevier Science, Amsterdam, Chapter 22, pp. 973-1027, 1999.

  13. F. F. Yao, Computational geometry, Handbook of Theoretical Computer Science (Ed. J. van Leeuwen), Vol A: Algorithms and Complexity, The MIT Press/Elsevier, Chapter 7, pp. 343-390, 1990.

In review papers:

  1. H. Alt and E. Welzl, Visibility graphs and obstacle-avoiding shortest paths, Zor-Zeitschrift fur Operation Research, vol. 32, pp. 145-164, 1988.

  2. F. Aurenhammer and Y.-F. Xu, Optimal triangulations, Encyclopedia of Optimization (P. Pardalos and C. Floudas, Eds.), vol. 15, pp. 2757-2764, Springer, 2009.

  3. F. Brandenburg, D. Eppstein, M. T. Goodrich, S. Kobourov, G. Liotta, and P. Mutzel, Selected open problems in graph drawing, Proceeding of International Symposium on Graph Drawing, Lecture Notes in Computer Science, Springer-Verlag, no. 2912, pp. 515-539, 2004.

  4. M. Bern and D. Eppstein, Mesh generation and optimal triangulation, In Computing in Euclidean Geometry, vol. 1 of Lecture Notes Series on Computing. World Scientific, Singapore (D.-Z. Du and F. K. Hwang, Eds.), pp. 23-90, 1992.

  5. M. Brazil and M. Zachariasen, Steiner trees with other cost functions and constraints, In Optimal Interconnection Trees in the Plane, pp. 219-299, Springer International Publishing, 2015.

  6. J. Cardinal, Computational Geometry Column 62, ACM SIGACT News, vol. 46, no. 4, pp. 69-78, 2015.

  7. Danny Z. Chen, Developing algorithms and software for geometric path planning problems, ACM Computing Surveys (Electronic Section), vol. 28, no. 4es, Article 18, 1996.

  8. Fredo Durand, A multidisciplinary survey of visibility, ACM Siggraph course notes Visibility, Problems, Techniques, and Applications, pp. 1-145, July 2000.

  9. R. Fleischer, O. Fries, K. Mehlhorn, S. Meiser, S. Naher, H. Rohnert, S. Schirra, K. Simon, A. Tsakalidis and C. Uhrig, Selected topics from computational geometry: Data structures and motion planning, Proceeding of Data Structures and Efficient Algorithms, Lecture Notes in Computer Science, Springer-Verlag, no. 594, pp. 25-43, 1992.

  10. F. Hurtado and C. D. Toth, Plane geometric graph augmentation: A generic perspective, Thirty Essays on Geometric Graph Theory (J. Pach, editor), Springer, pp. 327-354, 2013.

  11. C. Icking and R. Klein, Competitive strategies for autonomous systems, In Modelling and Planning for Sensor Based Intelligent Robot Systems (H. Bunke. et al., editor), World Scientific, Singapore, pp. 23-40, 1995.

  12. D. T. Lee, Computational geometry, ACM Computing Surveys, vol. 28, pp. 27--31, 1996.

  13. J. O'Rourke, Computational geometry column 3, ACM SIGACT News, vol. 18, pp. 13-15, 1987.

  14. J. O'Rourke, Computational geometry, Annual Review of Computer Science, vol. 3, pp. 389-411, 1988.

  15. J. O'Rourke, Computational geometry column 18, ACM SIGACT News, vol. 24, pp. 20-25, 1993.

  16. J. O'Rourke, Computational geometry column 24, ACM SIGACT News, vol. 25, pp. 12-14, 1994.

  17. J. O'Rourke, Computational geometry column 29, International Journal of Computational Geometry and Applications, vol. 6, pp. 507-511, 1996.

  18. J. O'Rourke, Open problems in the combinatorics of visibility and illumination, Advances in Discrete and Computational Geometry, Contemporary Mathematics (B. Chazelle, J. E. Goodman and R. Pollack Eds.), American Mathematical Society, pp. 237-243, 1998.

  19. J.F. Peters, Visibility, hausdorffness, algebra and separation spaces, In Computational Proximity, pp. 175-213, Springer International Publishing, 2016.

  20. A. Sforza, S. Starita and C. Sterle, Optimal location of security devices, Railway Infrastructure Security (R. Setola, A. Sforza, V. Vittorini and C. Pragliola Eds.), vol. 27, pp 171-196, 2015.

  21. T. Shermer, Recent results in art galleries, Proc. of the IEEE, vol. 80, no. 9, pp. 1384-1399, 1992.

  22. E.G. Tsardoulias, A. Iliakopoulou, A. Kargakos, and L. Petrou, A review of global path planning methods for occupancy grid maps regardless of obstacle density, Journal of Intelligent and Robotic Systems, pp. 1-30, 2016.

In theses:

  1. F. Abu-dakka, Trajectory planning for industrial robot using genetic algorithms, Ph. D. thesis, Universitat Polit`cnica de Val`ncia, 2011.

  2. B. Adler, System design and real-time guidance of an unmanned aerial vehicle for autonomous exploration of outdoor environments, Ph.D. thesis, University of Hamburg, 2014.

  3. I. Apostolopoulos, Integrating minimalistic localization and navigation for people with visual impairments, MS thesis, University of Nevada, 2011.

  4. D. Archambault, All the distance horizon edges of a terrain, MS. thesis, University of British Columbia, 2003.

  5. S. Bahun, Algorithms for optimizing search schedules in a polygon, MS thesis, University of Waterloo, 2008.

  6. N. Basilico, Navigation strategies for exploration and patrolling with autonomous mobile robots , Ph. D. thesis, Politecnico di Milano, 2010.

  7. S. Basu-Roy, Computing best coverage path in the presence of obstacles in wireless sensor networks, MS thesis, University of Texas, Arlington, 2007.

  8. M. Bell, Flexible object manipulation, Ph. D. thesis, Dartmouth College, 2010.

  9. P. Belleville, A study of convex covers in two or more dimensions}, Ph. D. thesis, Simon Fraser University, 1995.

  10. B. Ben-Moshe, Geometric facility location optimization, Ph. D. thesis, Ben-Gurion University, 2005.

  11. S. Bhattacharjee, A primal-dual algorithm for the maximum charge problem with capacity constraints, MS thesis, University of Lethbridge, 2010.

  12. N. S. Bidokhi, On fully characterizing terrain visibility graphs, MS thesis, University of British Columbia, 2012.

  13. J. Bittner, Hierarchical techniques for visibility computations, Ph. D. thesis, Czech Technical University, 2002.

  14. P. Bose, Geometric and computational aspect of manufacturing process, Ph. D. thesis, McGill University, 1994

  15. J.-S. Boulanger, Interest management for massively multiplayers games, MS thesis, McGill University, 2006.

  16. D. D. Bremner, Point visibility graphs and restricted-orientation polygon covering}, MS thesis, University of Calgary, 1990.

  17. B. Chan, A primal-dual algorithm for the unconstrained fractional matching problem, MS thesis, Simon Fraser University, 2009.

  18. D. Chen, Parallel techniques for path visibility and related problems, Ph. D. thesis, Purdue University, 1992.

  19. J.-S. Chenong, Strip decomposition of polygons, M. Phil. thesis, Hong Kong University of Science and Technology, 2000.

  20. Y. J. Chiang, Dynamic and I/O-efficient algorithms for computational geometry and graph poblems: Theoretical and experiment results, Ph. D. thesis, Brown University, 1995.

  21. H. R. Chitsaz, Geodesic problems for mobile robots, Ph. D. thesis, University of Illinois at Urbana-Champaign, 2008.

  22. B. Coleman, Finding a nonredundant component in a polygon, MS thesis, Simon Fraser University, 2011.

  23. F. Contreras, Cutting polygons and a problem on illumination of stages, MS thesis, University of Ottawa, 1998.

  24. L. Dale, Optimization techniques for probabilistic roadmaps, Ph. D. thesis, Texas A\&M University, 2000.

  25. G. Das, Approximation schemes in computational geometry, Ph. D. thesis, University of Wisconsin-Madison, 1990.

  26. J. D. Delaney, Latency reduction in distributed interactive applications using hybrid strategy-based models}, Ph. D. thesis, National University of Ireland, 2005.

  27. A. Deshpande, A pseudo-polynomial time $O(log^2 n)$-approximation algorithm for art gallery problems, MS. thesis, Massachusetts Institute of Technology, 2006.

  28. Y. Disser, Mapping polygons, Ph.D. thesis, ETH Zurich, 2011.

  29. F. Durand, 3D Visibility: Analytical study and Applications, Ph. D. thesis, Universit Joseph Fourier, Grenoble, France, July 1999.

  30. S. Eidenbenz, (In-)Approximability of visibility problems on polygons and terrains, Ph. D. thesis, Institute for Theoretical Computer Science, ETH, 2000.

  31. L. Erickson, Visibility analysis of landmark-based navigation, Ph. D. thesis, University of Illinois at Urbana-Champaign, 2014.

  32. H. Everett, Visibility graph recognition, Ph. D. thesis, University of Toronto, 1990.

  33. L. Gewali, Efficient algorithms for path planning and visibility problems , Ph. D. thesis, University of Texas, Dallas, 1989.

  34. S. Ghali, A Geometric framework for computer graphics addressing modeling, visibility, and shadows, Ph. D. thesis, University of Toronto, 1999.

  35. M. Hagedoorn, Pattern matching using similarity measures, Ph. D. thesis, Universiteit Utrecht, 2000.

  36. Y. Higashikawa, Studies on the space exploration and the sink location under incomplete informa- tion towards applications to evacuation planning , Ph. D. thesis, Kyoto University, 2014.

  37. M. Hoffmann, On the Existence of Paths and Cycles, Ph. D. thesis, Institute for Theoretical Computer Science, ETH, 2005.

  38. R. Inkulu, Algorithms for shortest paths and visibility polygons in R2, Ph. D. thesis, Illinois Institute of Technology, 2007.

  39. M. Ishaque, Geometric data structures, Ph. D. thesis, Tufts University, 2010.

  40. I. V. Isler, Algorithms for distributed and mobile sensing, Ph. D. thesis, University of Pennsylvania, 2004.

  41. L. E. Jackson, Polygon reconstruction from visibility information, Master thesis, University of Lethbridge, 1996.

  42. C. Jones, Triangle intersection graphs and visibility graphs, Ph. D. thesis, Washington State University, 1993.

  43. J. King, Guarding problems and geometric split trees, Ph. D. thesis, McGill University, 2010.

  44. A. Koch, Representations of Graphs by Outside Obstacles, Ph. D. thesis, University of Karlsruhe, 2012.

  45. E. A. Krohn, Urveilling roads and protecting art, Ph. D. thesis, The University of Iowa, 2009.

  46. S. M. Lavalle, A game-theoretic framework for robot motion planning, Ph. D. thesis, University of Illinois at Urbana-Champaign, 1995.

  47. T. Kavitha, Algorithms for computing paths of bounded curvature in a polygon, Ph. D. thesis, Tata Institute of Fundamental Research, 2002.

  48. G. Macdonald, Isomorphism and layout of spiral polygons, MS thesis, Simon Fraser University, 1993.

  49. A. M. Martins, Geometric optimization on visibility problems: Metaheuristic and exact solutions, Ph. D. thesis, Universidade de Aveiro, 2009.

  50. A. Maheshwari, Parallel algorithms for minimum link paths and related problems, Ph. D. thesis, Tata Institute of Fundamental Research, India, 1992.

  51. B. S. Mengisteab, Single-crossing orthogonal axial lines in orthogonal rectangles, MS thesis, University of the Witwatersrand, 2007.

  52. G. Morgenstern, Covering Geometric Domains, Ph. D. thesis, Ben-Gurion University of the Negev, 2011.

  53. P. Mitra, Rectilinear shortest paths among obstacles in the plane}, Ph. D. thesis, Simon Fraser University, 1995.

  54. S. Nandy, Studies on some geometric algorithms with application to VLSI, Ph. D. thesis, Indian Statistical Institute, India, 1994.

  55. A. Nash, Any-angle path planning, Ph. D. thesis, Unibersity of Southern California, 2012

  56. S. Nirenstein, Fast and accurate visibility preprocessing, Ph. D. thesis, University of Cape Town, 2003.

  57. M. T. Omran, Path problems in geographic information systems, Ph. D. thesis, Carleton Univer- sity, 2014.

  58. S. Pal, Weak visibility and related problems on simple polygons, Ph. D. thesis, Indian Institute of Science, India, 1990.

  59. D. Pajak, Algorithms for deterministic parallel graph exploration , Ph. D. thesis, Laboratoire Bordelais de Recherche en Informatique, 2014.

  60. R Penninger, Dilation, transport, visibility and fault-tolerant algorithms , Ph. D. thesis, University of Bonn, 2014.

  61. C. D. Piatko, Geometric bicriteria optimal path problems, Ph. D. thesis, Cornell University, 1993.

  62. I. Reinbacher, Geometric algorithms for delineating geographic regions, Ph. D. thesis, Universiteit Utrecht, 2006.

  63. M. Romauch, Facility location and related problems, Ph. D. thesis, University of Wien, 2007.

  64. C. Schmidt, Algorithms for mobile agents with limited capabilities, Ph. D. thesis, Braunschweig Institute of Technology and Cuvillier, 2011.

  65. Y. Schreiber, Euclidean shortest paths on polyhedra in three dimensions, Ph. D. Thesis, Tel Aviv University, 2007.

  66. H. Shaul, Range searching: emptiness, reporting, and approximate counting, Ph. D. thesis, Tel Aviv University, 2011.

  67. W. Si, Applying geometric routing to wirless mesh networks, Ph. D. thesis, The University of Sydney, 2010.

  68. S. Teramoto, Randomness and hardness in geometric computing problems, Ph. D. thesis, Japan Advanced Institute of Science and Technology, 2007.

  69. P. Tokekar, Placement and motion planning algorithms for robotic sensing systems, Ph. D. thesis, University of Minnesota, 2014.

  70. G. Varadhan, Accurate sampling-based algorithms for surface extraction and motion planning, Ph. D. thesis, University of North Carolina, 2005.

  71. E. Vicari, On locality and related problems: communicating, computing, exploring, Ph. D. thesis, Institute for Theoretical Computer Science, ETH, 2008.

  72. P. Wang, View planning with combined view and travel cost, Ph. D. thesis, Simon Fraser University, 2007.

  73. R. Wein, The integration of exact arrangements with effective motion planning, Ph. D. thesis, Tel-Aviv University, 2007.

  74. D. T. Wooden, Graph-based path planning for mobile robots, Ph. D. thesis, Georgia Institute of Technology, 2006.

  75. H. Xiao, Kinetic Visibility, Ph. D. thesis, Queen's University, 2007.

  76. J. Z. Zhang, Applications of visibility space in polygon search problems, Ph. D. thesis, Simon Fraser University, 2005.

  77. L. Zhang, On the three-dimensional visibility skeleton:implementation and analysis, Ph. D. thesis, McGill University, 2009.

  78. Z. Zhang, Recognition and searching of one-sided rectilinear polygons, MS thesis, Saskatchewan University, 2008.

In papers:

  1. M. Aanjaneya, A. Bishnu and S. P. Pal, Directly visible pairs and illumination by reflections in orthogonal polygons, Proceedings of the 24th European Workshop on Computational Geometry, Nancy, pp. 241-244, 2008.

  2. A. Abdullah, Bottlenecks identification in general junction, Proceedings of the Canadian Conference on Computational Geometry, pp. 26-28, 1991.

  3. M. Abellanas, E. Alba, S. Canales and G. Hernandez, Solving the illumination problem with heuristics, Proceedings of the 6th International Conference on Numerical Methods and Applications, Lecture Notes in Computer Science, Springer-Verlag, no. 4310, pp. 205-213, 2007.

  4. M. Abellanas, A. Bajuelos and I. Matos, Some problems related to good illumination, Proceedings of the International Conference on Computational Science and Its Applications (Part I), Lecture Notes in Computer Science, Springer-Verlag, no. 4705, pp. 1-14, 2007.

  5. M. Abellanas, G. Hernandez, A. Bajuelos, I. Matos and B. Palop, The embracing Voronoi diagram and closest embracing, Journal of Mathematical Sciences, vol. 161, no. 6, pp. 909-918, 2009.

  6. J. Abello and O. Egecioglu, Visibility graphs of staircase polygons with uniform step length, Discrete and Computational Geometry, vol. 3, pp. 27-37, 1993.

  7. J. Abello, O. Egecioglu and K. Kumar, Visibility graphs of staircase polygons and the weak Bruhat order I: from visibility graphs to maximal chains, Discrete and Computational Geometry, vol. 14, no. 3, pp. 331-358, 1995.

  8. J. Abello and E. Gansner, Short and smooth polygonal paths, Proceedings of the third Latin American Theoretical Informatics Symposium, Lecture Notes in Computer Science, Springer-Verlag, no. 1380, pp. 151-162, 1998.

  9. J. Abello and K. Kumar, Visibility graphs and oriented metroids, Proceeding of Graph Drawing, Lecture Notes in Computer Science, Springer-Verlag, no. 894, pp. 147-158, 1995.

  10. J. Abello and K. Kumar, Visibility graphs of 2-spiral polygons, Proceedings of LATIN '95: Theoretical Informatics, Lecture Notes in Computer Science, Springer, no. 911, pp. 1-15, 1995.

  11. J. Abello, H. Lin and S. Pisupati, On visibility graphs of simple polygons, Congressus Numeratium, vol. 90, 119-128, 1992.

  12. L. Addario-Berry, O. Amini, J-S. Sereni, and S. Thomasse, Guarding art galleries: The extra cost for sculptures is linear, Proceedings of the 11th Scandinavian Workshop on Algorithm Theory, Lecture Notes in Computer Science, Springer, no. 5124, pp. 41-52, 2008.

  13. F. Adiceam, How far can you see in a forest?, International Mathematics Research Notices, pp. 292, 2015.

  14. J. Adegeest, M. Overmars and J. Snoeyink, Minimum-link c-oriented paths: single-source queries, International Journal of Computational Geometry and Applications, vol. 4, no. 1, pp. 39-51, 1994.

  15. A. Agarwal, L. Meng-Hiot and E. Joo, A VoMVi complex for supporting optimal path queries for UAVs, Proceedings of the 2nd International Conference on Voronoi Diagram in Science and Engineering, pp. 1-6, 2005.

  16. P. K. Agarwal, N. Alon, B. Arnov and S. Suri, Can visibility graphs be represented compactly?, Discrete and Computational Geometry, vol. 12, pp. 347-365, 1994.

  17. O. Aichholzer, G. Aloupis, E. D. Demaine, M. L. Demaine, V. Dujmovic, F. Hurtado, A. Lubiw, G. Rote, A. Schulz, D. L. Souvaine and A. Winslow, Convexifying polygons without losing visibilities, Proceedings of the Canadian Conference on Computational Geometry, 2011.

  18. Z. Algfoor, M. Sunar, and H. Kolivand, A Comprehensive Study on Pathfinding Techniques for Robotics and Video Games, International Journal of Computer Games Technology, vol. 2015, pp.1-11, 2015.

  19. S. Alipour and A. Zarei, Visibility testing and counting, Proceedings of Frontiers in Algorithmics and Algorithmic Aspects in Information and Management, Lecture Notes in Computer Science, Springer, no. 6681, pp. 343-351, 2011.

  20. S. Alipour, M. Ghodsi, A. Zarei, and M. Pourreza, Visibility testing and counting, Information Processing Letters, vol. 115, no. 9, pp. 649-654, 2015.

  21. A. Altahir, V.S. Asirvadam, N.H.B Hamid, and P. Sebastian, Secondary coverage configuration to support surveillance monitoring, Proceedings of IEEE 11th International Colloquium on Signal Processing and Its Applications (CSPA), pp. 121-126, 2015.

  22. A. A. Altahir, V. S. Asirvadam, N. H. B. Hamid, P. Sebastian, N. B. Saad, R. B. Ibrahim, and S. C. Dass, Optimizing visual surveillance sensor coverage using dynamic programming, IEEE Sensors Journal, vol. 17(11), pp. 3398-3405, 2017.

  23. M. Alsuwaiyel and D. T. Lee, Finding an approximate minimum-link visibility path inside a simple polygon, Information Processing Letters, vol. 55, no. 2, pp. 75-79, 1995.

  24. V. Alvarez, Parity-constrained triangulations with steiner points , Graphs and Combinatorics, vol. 31, no. 1, pp. 35-57, 2015.

  25. Y. Amit, J. S. B. Mitchell, E. Packer, Locating guards for visibility coverage of polygons, Proceedings of the Workshop on Algorithm Engineering and Experiments, pp. 1-15, 2007.

  26. P. Angelier and M. Pocchiola, A sum of squares theorem for visibility complexes, Proceedings of the ACM Symposium on Computational Geometry, pp. 302-311, 2001.

  27. I. Ardiyanto and J. Miura, Visibility-based viewpoint planning for guard robot using skeletonization and geodesic motion model, Proceedings of IEEE International Conference on Robotics and Automation, pp. 660-666, 2013.

  28. E. Arkin, R. Connelly and J. Mitchell, On monotone paths among obstacles, with applications to planning assemblies, Proceedings of the ACM Symposium on Computational Geometry, pp. 334-343, 1989.

  29. E.M. Arkin, A. Efrat, C. Knauer, J.S. Mitchell, V. Polishchuk, G. Rote, L. Schlipf, and T. Talvitie, Shortest path to a segment and quickest visibility queries, Journal of Computational Geometry, vol. 7, no. 2, pp. 77-100, 2016.

  30. E. Arkin, S. Khuller and J. Mitchell, Geometric knapsack problems, Algorithmica, vol. 10, pp. 399-427, 1993.

  31. E. Arkin, J. Mitchell and C. D. Piatko, Bicriteria shortest path problems in the plane, Proceedings of the Canadian Conference on Computational Geometry, pp. 153-156, 1991.

  32. E. Arkin, J. Mitchell and C. Piatko, Minimum-link watchman tours, Information Processing Letters, vol. 86, pp. 203-207, 2003.

  33. E. Arkin, J. Mitchell and S. Suri, Logarithmic-time link path queries in a simple polygon, International Journal of Computational Geometry and Applications, vol. 5, no. 4, pp. 369-395, 1995.

  34. B. Arnov, A. R. Davis, J. Iacono and A. S. C. Yu, The complexity of diffuse reflections in a simple polygon, Proceedings of the 7th International Symposium of Latin American Theoretical Informatics, Lecture Notes in Computer Science, Springer-Verlag, no. 3887, pp. 93-104, 2006.

  35. B. Arnov, L. Guibas, M. Teichmann and L. Zhang, Visibility queries and maintenance in simple polygon, Discrete and Computational Geometry, vol. 27, pp. 461-483, 2002.

  36. R. Aschner, M. J. Katz, G. Morgenstern and Y. Yuditsky, Approximation schemes for covering and packing<\I>, Proceedings of the 7th International Workshop on Algorithms and Computations, Lecture Notes in Computer Science, Springer, vol. 7748, pp. 89-100, 2013.

  37. P. Ashok, F. V. Fomin, S. Kolay, S. Saurabh, and M. Zehavi, Exact algorithms for terrain guarding, In LIPIcs-Leibniz International Proceedings in Informatics, vol. 77, Schloss Dagstuhl-Leibniz- Zentrum fuer Informatik, 2017.

  38. C. Au and Y. Ma, Computation of the Shortest Path in a Bounded Domain With Free Form Boundary by Domain Partitioning, Journal of Computing and Information Science in Engineering, vol. 14, no. 2, pp. 1-11, 2014.

  39. A. Bajuelos, S. Canales, G. Hernández, A. Martins, Minimum Vertex Guard problem for orthogonal polygons: a genetic approach, In Proceedings of 10th WSEAS International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems, pp. 78-84, 2008.

  40. A. Bajuelos, S. Canales, G. Hernández, A. Martins, Estimating the maximum hidden vertex set in polygons, Proceedings of the International Conference on Computational Sciences and Its Applications, IEEE-CS Press, pp. 421-432, 2008.

  41. A. Bajuelos, S. Canales, G. Hernández, A. Martins, Optimizing the Minimum Vertex Guard Set on Simple Polygons via a Genetic Algorithm, in WSEAS Transactions in Information Science and Applications, vol 5, no. 11, pp. 1584-1596, 2008.

  42. A. Bajuelos, G. Hernández, I. Matos, Good illumination with limited visibility, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, Wiley-VCH, pp. 35-38, 2005.

  43. A. Bajuelos, A. Martins, S. Canales and G. Hernández, Metaheuristic Approaches for the Minimum Vertex Guard Problem, Proceedings of the Third International Conference on Advanced Engineering Computing and Applications in Sciences, pp. 77-82, 2009.

  44. A. Bajuelos, A. Martins, S. Canales and G. Hernández, Metaheuristic Approaches for the Minimum Vertex Guard Problem, Proceedings of the Third International Conference on Advanced Engineering Computing and Applications in Sciences, pp. 77-82, 2009.

  45. A. Balstan and M. Sharir, On the shortest paths between two convex polyhedra, Journal of the ACM, vol. 35, pp. 267 - 287, 1988.

  46. L. Barba, M. Korman, S. Langerman, K. Sadakane and R. I. Silveira, Spacetime trade-offs for stack-based algorithms, Algorithmica, vol. 72, no. 4, pp. 1097-1129, 2015.

  47. L. Barba, M. Korman, S. Langerman and R. I. Silveira, Computing the visibility polygon using few variables, Proceedings of the 22nd International Symposium on Algorithms and Computations, Lecture Notes in Computer Science, Springer, no. 7074, pp. 70-79, 2011.

  48. L. Barba, M. Korman, S. Langerman and R. I. Silveira, Computing a visibility polygon using few variables, Computational Geometry: Theory and Applications, vol. 47, pp. 918-926, 2014.

  49. G. Barequet, S. M. Cannon, E. Fox-Epstein, B. Hescott and D. L. Souvaine, C. D. Toth and A. Winslow, Diffuse Reflections in Simple Polygons, Electronic Notes in Discrete Mathematics, vol. 44, pp. 345-350, 2013.

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