Geometric Shortest Paths and Network Optimization
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[1] R. Ravi,et al. A nearly best-possible approximation algorithm for node-weighted Steiner trees , 1993, IPCO.
[2] Neil C. Rowe. Obtaining Optimal Mobile-Robot Paths with Nonsmooth Anisotropic Cost Functions Using Qualitative-State Reasoning , 1997, Int. J. Robotics Res..
[3] Danny Ziyi Chen,et al. Shortest path queries among weighted obstacles in the rectilinear plane , 1995, SCG '95.
[4] Michiel H. M. Smid,et al. On the Complexity of Approximating Euclidean Traveling Salesman Tours and Minimum Spanning Trees , 1996, Algorithmica.
[5] Stéphane Rivière. Topologically sweeping the visibility complex of polygonal scenes , 1995, SCG '95.
[6] Wei-Pand Chin,et al. Shortest watchman routes in simple polygons , 1990, Discret. Comput. Geom..
[7] Michiel H. M. Smid,et al. Lower bounds for computing geometric spanners and approximate shortest paths , 1996, Discret. Appl. Math..
[8] Santosh S. Vempala,et al. Improved approximation guarantees for minimum-weight k-trees and prize-collecting salesmen , 1995, STOC '95.
[9] John F. Canny,et al. Using skeletons for nonholonomic path planning among obstacles , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.
[10] Sung Yong Shin,et al. New competitive strategies for searching in unknown star-shaped polygons , 1997, SCG '97.
[11] Mark H. Overmars,et al. New methods for computing visibility graphs , 1988, SCG '88.
[12] Ioannis G. Tollis,et al. Path planning in the presence of vertical obstacles , 1990, IEEE Trans. Robotics Autom..
[13] D. T. Lee,et al. Euclidean shortest paths in the presence of rectilinear barriers , 1984, Networks.
[14] M. Bauer,et al. Triangulations , 1996, Discret. Math..
[15] Edmund Ihler,et al. The rectilinear class Steiner tree problem for intervals on two parallel lines , 1994, Math. Program..
[16] Robert E. Tarjan,et al. Scaling and related techniques for geometry problems , 1984, STOC '84.
[17] Simeon C. Ntafos,et al. Optimum watchman routes , 1986, SCG '86.
[18] Jürgen Sellen,et al. Direction weighted shortest path planning , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.
[19] Esther M. Arkin,et al. On the maximum scatter TSP , 1997, SODA '97.
[20] Nageswara S. V. Rao,et al. Robot navigation in an unexplored terrain , 1986, J. Field Robotics.
[21] Pravin M. Vaidya. A fast approximation for minimum spanning trees in k-dimensional space , 1984, FOCS.
[22] Boris Aronov. On the geodesic Voronoi diagram of point sites in a simple polygon , 1987, SCG '87.
[23] Joseph S. B. Mitchell,et al. An Efficient Algorithm for Euclidean Shortest Paths Among Polygonal Obstacles in the Plane , 1997, Discret. Comput. Geom..
[24] Jörg-Rüdiger Sack,et al. An epsilon-Approximation for Weighted Shortest Paths on Polyhedral Surfaces , 1998, SWAT.
[25] Chak-Kuen Wong,et al. Rectilinear Paths Among Rectilinear Obstacles , 1992, Discret. Appl. Math..
[26] Guy Desaulniers. On shortest paths for a car-like robot maneuvering around obstacles , 1996, Robotics Auton. Syst..
[27] Luca Trevisan,et al. When Hamming meets Euclid: the approximability of geometric TSP and MST (extended abstract) , 1997, STOC '97.
[28] Sanjiv Kapoor,et al. Efficient computation of geodesic shortest paths , 1999, STOC '99.
[29] Alexander I. Barvinok,et al. Two Algorithmic Results for the Traveling Salesman Problem , 1996, Math. Oper. Res..
[30] Rolf Klein. Walking an Unknown Street with Bounded Detour , 1991, Comput. Geom..
[31] Joseph S. B. Mitchell,et al. Bicriteria Shortest Path Problems in the Plane ( extended abstract ) , 2022 .
[32] Sándor P. Fekete,et al. Area optimization of simple polygons , 1993, SCG '93.
[33] Richard Cole,et al. River Routing Every Which Way, but Loose (Extended Abstract) , 1984, FOCS.
[34] Bala Kalyanasundaram,et al. Constructing Competitive Tours from Local Information , 1993, Theor. Comput. Sci..
[35] Leila De Floriani,et al. Applications of Computational Geometry to Geographic Information Systems , 2000, Handbook of Computational Geometry.
[36] Hongyan Wang,et al. Nonuniform Discretization for Kinodynamic Motion Planning and its Applications , 2000, SIAM J. Comput..
[37] Esther M. Arkin,et al. Angewandte Mathematik Und Informatik Universit at Zu K Oln Approximation Algorithms for Lawn Mowing and Milling Ss Andor P.fekete Center for Parallel Computing Universitt at Zu Kk Oln D{50923 Kk Oln Germany Approximation Algorithms for Lawn Mowing and Milling , 2022 .
[38] David S. Johnson,et al. The Complexity of Computing Steiner Minimal Trees , 1977 .
[39] Philip N. Klein,et al. Faster Shortest-Path Algorithms for Planar Graphs , 1997, J. Comput. Syst. Sci..
[40] Giri Narasimhan,et al. Resource-constrained geometric network optimization , 1998, SCG '98.
[41] John Hershberger. Optimal parallel algorithms for triangulated simple polygons , 1995, Int. J. Comput. Geom. Appl..
[42] Micha Sharir,et al. On shortest paths in polyhedral spaces , 1986, STOC '84.
[43] Sunil Arya,et al. A 2.5-Factor Approximation Algorithm for the k-MST Problem , 1998, Inf. Process. Lett..
[44] Ricardo A. Baeza-Yates,et al. Searching in the Plane , 1993, Inf. Comput..
[45] Subhash Suri,et al. Curvature-Constrained Shortest Paths in a Convex Polygon , 2002, SIAM J. Comput..
[46] Joseph O'Rourke,et al. Vertex-edge pseudo-visibility graphs: characterization and recognition , 1997, SCG '97.
[47] John Hershberger,et al. A New Data Structure for Shortest Path Queries in a Simple Polygon , 1991, Inf. Process. Lett..
[48] Margaret K. Guyder. Automating the optimization of 2 1 2 axis milling , 1990 .
[49] Andrew Lim,et al. Optimal Rectilinear Steiner Tree for Extremal Point Sets , 1993, ISAAC.
[50] Danny Z. Chen,et al. Deterministic Parallel Computational Geometry , 2000, Handbook of Computational Geometry.
[51] Danny Ziyi Chen,et al. Rectilinear Short Path Queries Among Rectangular Obstacles , 1996, Inf. Process. Lett..
[52] Subir Kumar Ghosh,et al. On recognizing and characterizing visibility graphs of simple polygons , 1988, SWAT.
[53] Subhash Suri,et al. Matrix searching with the shortest path metric , 1993, SIAM J. Comput..
[54] Tak Wah Lam,et al. An on-line algorithm for navigating in unknown environment , 1993, Int. J. Comput. Geom. Appl..
[55] Andrew Chi-Chih Yao,et al. On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems , 1977, SIAM J. Comput..
[56] H. Rohnert. New algorithms for shortest paths avoiding convex polygonal obstacles , 1986 .
[57] John F. Canny,et al. An exact algorithm for kinodynamic planning in the plane , 1990, SCG '90.
[58] Edmund Ihler,et al. Bounds on the quality of approximate solutions to the Group Steiner Problem , 1990, WG.
[59] Chandrajit L. Bajaj,et al. The algebraic degree of geometric optimization problems , 1988, Discret. Comput. Geom..
[60] Vladimir J. Lumelsky,et al. A comparative study on the path length performance of maze-searching and robot motion planning algorithms , 1991, IEEE Trans. Robotics Autom..
[61] S. Sitharama Iyengar,et al. Robot navigation algorithms using learned spatial graphs , 1986, Robotica.
[62] Judea Pearl,et al. Heuristics : intelligent search strategies for computer problem solving , 1984 .
[63] Amos Fiat,et al. Randomized robot navigation algorithms , 1996, SODA '96.
[64] John Hershberger,et al. An Efficient Solution to the Zookeeper's Problem , 1994, CCCG.
[65] Ming-Yang Kao,et al. Searching in an unknown environment: an optimal randomized algorithm for the cow-path problem , 1996, SODA '93.
[66] Leonidas J. Guibas,et al. Optimal shortest path queries in a simple polygon , 1987, SCG '87.
[67] Joseph O'Rourke. Finding A Shortest Ladder Path: A Special Case , 1987 .
[68] Mark H. Overmars,et al. Motion Planning for Carlike Robots Using a Probabilistic Learning Approach , 1997, Int. J. Robotics Res..
[69] J. Sellen. Planning paths of minimal curvature , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.
[70] Alejandro López-Ortiz,et al. Generalized Streets Revisited , 1996, ESA.
[71] Alejandro López-Ortiz,et al. Going Home Through an Unknown Street , 1995, WADS.
[72] Simeon C. Ntafos,et al. Watchman Routes Under Limited Visibility , 1991, Comput. Geom..
[73] Hazel Everett,et al. The Aquarium Keeper's Problem , 1991, SODA '91.
[74] Alejandro L opez-Ortizy,et al. Simple, Eecient and Robust Strategies to Traverse Streets , 1995 .
[75] Rolf Klein,et al. The polygon exploration problem: a new strategy and a new analysis technique , 1998 .
[76] Sándor P. Fekete,et al. Simplicity and hardness of the maximum traveling salesman problem under geometric distances , 1999, SODA '99.
[77] Esther M. Arkin,et al. Computing a shortest k-link path in a polygon , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[78] Hans Rohnert,et al. Shortest Paths in the Plane with Convex Polygonal Obstacles , 1986, Inf. Process. Lett..
[79] Alok Aggarwal,et al. The angular-metric traveling salesman problem , 1997, SODA '97.
[80] Micha Sharir,et al. Approximating shortest paths on a convex polytope in three dimensions , 1997, JACM.
[81] Naveen Garg,et al. A 3-approximation for the minimum tree spanning k vertices , 1996, Proceedings of 37th Conference on Foundations of Computer Science.
[82] Mikhail J. Atallah,et al. On Parallel Rectilinear Obstacle- Avoiding Paths , 1993, Comput. Geom..
[83] Mark de Berg,et al. Shortest path queries in rectilinear worlds , 1992, Int. J. Comput. Geom. Appl..
[84] Gerhard Reinelt,et al. Fast Heuristics for Large Geometric Traveling Salesman Problems , 1992, INFORMS J. Comput..
[85] Subhash Suri,et al. Practical methods for approximating shortest paths on a convex polytope in R3 , 1995, SODA '95.
[86] Mikhail J. Atallah,et al. Parallel rectilinear shortest paths with rectangular obstacles , 1990, SPAA '90.
[87] Boris Aronov,et al. Star Unfolding of a Polytope with Applications , 1997, SIAM J. Comput..
[88] Esther M. Arkin,et al. Approximation Algorithms for the Geometric Covering Salesman Problem , 1994, Discret. Appl. Math..
[89] Gerhard J. Woeginger,et al. The Maximum Traveling Salesman Problem Under Polyhedral Norms , 1998, IPCO.
[90] Edmund Ihler,et al. On Shortest Networks for Classes of Points in the Plane , 1991, Workshop on Computational Geometry.
[91] John Hershberger,et al. Computing Minimum Length Paths of a Given Homotopy Class (Extended Abstract) , 1991, WADS.
[92] D. T. Lee,et al. Efficient Computation of the Geodesic Voronoi Diagram of Points in a Simple Polygon (Extended Abstract) , 1995, ESA.
[93] Bengt J. Nilsson,et al. Concerning the Time Bounds of Existing Shortest Watchman Route Algorithms , 1997, FCT.
[94] Pierre Hansen,et al. Bicriterion Path Problems , 1980 .
[95] G. Rinaldi,et al. Chapter 4 The traveling salesman problem , 1995 .
[96] Michael T. Goodrich,et al. Dynamic ray shooting and shortest paths via balanced geodesic triangulations , 1993, SCG '93.
[97] James A. Storer,et al. A single-exponential upper bound for finding shortest paths in three dimensions , 1994, JACM.
[98] Micha Sharir,et al. Computing the geodesic center of a simple polygon , 1989, Discret. Comput. Geom..
[99] R. Ravi,et al. A polylogarithmic approximation algorithm for the group Steiner tree problem , 2000, SODA '98.
[100] Gert Vegter,et al. In handbook of discrete and computational geometry , 1997 .
[101] C. E. Veni Madhavan,et al. Shortest Watchman Tours in Weak Visibility Polygons , 1993, CCCG.
[102] Mark de Berg,et al. Shortest path queries in rectilinear worlds of higher dimension (extended abstract) , 1991, SCG '91.
[103] Edsger W. Dijkstra,et al. A note on two problems in connexion with graphs , 1959, Numerische Mathematik.
[104] Tomio Hirata,et al. Corrigendum to "An Incremental Algorithm for Constructing Shortest Watchman Routes" , 1991, Int. J. Comput. Geom. Appl..
[105] Xuemin Lin,et al. Performance Guarantees for Motion Planning with Temporal Uncertainty , 1993, Aust. Comput. J..
[106] Boris Aronov,et al. Nonoverlap of the star unfolding , 1991, SCG '91.
[107] Jon M. Kleinberg,et al. On-line search in a simple polygon , 1994, SODA '94.
[108] Bengt J. Nilsson,et al. Minimum Spanning Trees in d Dimensions , 1999, Nord. J. Comput..
[109] Der-Tsai Lee. Proximity and reachability in the plane. , 1978 .
[110] Manuel Blum,et al. On the power of the compass (or, why mazes are easier to search than graphs) , 1978, 19th Annual Symposium on Foundations of Computer Science (sfcs 1978).
[111] L. Dubins. On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents , 1957 .
[112] Clyde L. Monma,et al. Computing euclidean maximum spanning trees , 1988, SCG '88.
[113] Xiaotie Deng,et al. How to learn an unknown environment. I: the rectilinear case , 1998, JACM.
[114] Subhash Suri,et al. An Optimal Algorithm for Euclidean Shortest Paths in the Plane , 1999, SIAM J. Comput..
[115] David M. Mount,et al. An Output Sensitive Algorithm for Computing Visibility Graphs , 1987, FOCS.
[116] Sven Schuierer. Lower Bounds in On-Line Geometric Searching , 1997, FCT.
[117] Ravindra K. Ahuja,et al. Network Flows: Theory, Algorithms, and Applications , 1993 .
[118] David Eppstein,et al. Shortest paths in an arrangement with k line orientations , 1999, SODA '99.
[119] Jean-Paul Laumond,et al. Feasible Trajectories for Mobile Robots with Kinematic and Environment Constraints , 1986, IAS.
[120] Christos Levcopoulos,et al. Quasi-greedy triangulations approximating the minimum weight triangulation , 1996, SODA '96.
[121] Refael Hassin,et al. An Approximation Algorithm for the Maximum Traveling Salesman Problem , 1998, Inf. Process. Lett..
[122] Michael T. Goodrich,et al. Geometric Data Structures , 2000, Handbook of Computational Geometry.
[123] S. Rao Kosaraju,et al. Faster algorithms for some geometric graph problems in higher dimensions , 1993, SODA '93.
[124] Michel Pocchiola,et al. Computing the visibility graph via pseudo-triangulations , 1995, SCG '95.
[125] C. Bajaj. The Algebraic Complexity of Shortest Paths in Polyhedral Spaces , 1985 .
[126] Joseph C. Culberson,et al. Turtlegons: generating simple polygons for sequences of angles , 1985, SCG '85.
[127] Chak-Kuen Wong,et al. Rectilinear Path Problems among Rectilinear Obstacles Revisited , 1995, SIAM J. Comput..
[128] William Warntz,et al. Transportation, Social Physics, And The Law Of Refraction , 1957 .
[129] L. Shepp,et al. OPTIMAL PATHS FOR A CAR THAT GOES BOTH FORWARDS AND BACKWARDS , 1990 .
[130] Chee Yap,et al. Rectilinear geodesics in 3-space , 1995 .
[131] Joseph S. B. Mitchell,et al. Separation and approximation of polyhedral objects , 1992, SODA '92.
[132] Joachim Gudmundsson,et al. A Fast Approximation Algorithm for TSP with Neighborhoods , 1999, Nord. J. Comput..
[133] Chak-Kuen Wong,et al. On Some Distance Problems in Fixed Orientations , 1987, SIAM J. Comput..
[134] Madhu Sudan,et al. The minimum latency problem , 1994, STOC '94.
[135] Baruch Schieber,et al. Fast geometric approximation techniques and geometric embedding problems , 1989, SCG '89.
[136] Micha Sharir,et al. Arrangements and Their Applications , 2000, Handbook of Computational Geometry.
[137] Alejandro López-Ortiz,et al. Position-independent near optimal searching and on-line recognition in star polygons , 1997, SCG '97.
[138] Kurt Mehlhorn,et al. On continuous Homotopic one layer routing , 1988, SCG '88.
[139] Nageswara,et al. On Terrain Model Acquisition by a Point Robot Amidst Polyhedral Obstacles , 1981 .
[140] Pravin M. Vaidya,et al. Geometry helps in matching , 1989, STOC '88.
[141] John F. Canny,et al. Some algebraic and geometric computations in PSPACE , 1988, STOC '88.
[142] Carsten Lund,et al. On the hardness of approximating minimization problems , 1994, JACM.
[143] Sudipto Guha,et al. Approximation algorithms for directed Steiner problems , 1999, SODA '98.
[144] David P. Williamson,et al. Computational experience with an approximation algorithm on large-scale Euclidean matching instances , 1994, SODA '94.
[145] Sariel Har-Peled,et al. Approximate shortest paths and geodesic diameters on convex polytopes in three dimensions , 1997, SCG '97.
[146] V. Lumelsky,et al. Algorithmic issues of sensor-based robot motion planning , 1987, 26th IEEE Conference on Decision and Control.
[147] Amos Fiat,et al. Online Navigation in a Room , 1992, J. Algorithms.
[148] Hongyan Wang,et al. The complexity of the two dimensional curvature-constrained shortest-path problem , 1998 .
[149] Gabriele Reich,et al. Beyond Steiner's Problem: A VLSI Oriented Generalization , 1989, WG.
[150] Simeon C. Ntafos,et al. Watchman Routes in the Presence of a Pair of Convex Polygons , 1998, Inf. Sci..
[151] Alejandro López-Ortiz,et al. Walking Streets Faster , 1996, SWAT.
[152] Joseph S. B. Mitchell,et al. Chapter 7 A survey of computational geometry , 1995 .
[153] John Hershberger,et al. Finding the visibility graph of a simple polygon in time proportional to its size , 1987, SCG '87.
[154] Hoon Liong Ong. Approximate algorithms for the travelling purchaser problem , 1982, Oper. Res. Lett..
[155] Gabriel Y. Handler,et al. A dual algorithm for the constrained shortest path problem , 1980, Networks.
[156] Alex Zelikovsky,et al. Provably good routing tree construction with multi-port terminals , 1997, ISPD '97.
[157] Otfried Cheong,et al. Euclidean minimum spanning trees and bichromatic closest pairs , 1990, SCG '90.
[158] Ovidiu Daescu,et al. On Geometric Path Query Problems , 1997, Int. J. Comput. Geom. Appl..
[159] Neil C. Rowe,et al. Path planning by optimal-path-map construction for homogeneous-cost two-dimensional regions , 1990, Proceedings., IEEE International Conference on Robotics and Automation.
[160] Ding-Zhu Du,et al. The state of the art in Steiner ratio problems , 1992 .
[161] Sariel Har-Peled,et al. Constructing approximate shortest path maps in three dimensions , 1998, SCG '98.
[162] Xiaotie Deng,et al. How to learn an unknown environment , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[163] François G. Pin,et al. Time-Optimal Trajectories for Mobile Robots With Two Independently Driven Wheels , 1994, Int. J. Robotics Res..
[164] D. Eppstein,et al. Approximation algorithms for geometric problems , 1996 .
[165] Jeffrey S. Salowe. Constructing multidimensional spanner graphs , 1991, Int. J. Comput. Geom. Appl..
[166] Petr Slavik,et al. The Errand Scheduling Problem , 1997 .
[167] Tetsuo Asano,et al. Visibility in the Plane , 2000, Handbook of Computational Geometry.
[168] Kenneth L. Clarkson,et al. Approximation algorithms for shortest path motion planning , 1987, STOC.
[169] Piotr Berman,et al. On-line Searching and Navigation , 1996, Online Algorithms.
[170] Danny Ziyi Chen,et al. On the all-pairs Euclidean short path problem , 1995, SODA '95.
[171] Bala Kalyanasundaram,et al. On-line Network Optimization Problems , 1996, Online Algorithms.
[172] Avrim Blum,et al. An on-line algorithm for improving performance in navigation , 1993, Proceedings of 1993 IEEE 34th Annual Foundations of Computer Science.
[173] Makoto Imase,et al. Dynamic Steiner Tree Problem , 1991, SIAM J. Discret. Math..
[174] Chi-Keung Tang,et al. A Fast Algorithm for Computing Optimal Rectilinear Steiner Trees for Extremal Point Sets , 1995, ISAAC.
[175] Christopher Umans,et al. Hamiltonian cycles in solid grid graphs , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[176] Amitava Datta,et al. Competitive searching in a generalized street , 1994, SCG '94.
[177] Roberto Tamassia,et al. A unified approach to dynamic point location, ray shooting, and shortest paths in planar maps , 1996, SODA '93.
[178] Mark de Berg,et al. Trekking in the Alps Without Freezing or Getting Tired , 1993, ESA.
[179] R. G. Parker,et al. Guaranteed performance heuristics for the bottleneck travelling salesman problem , 1984 .
[180] David P. Williamson,et al. A general approximation technique for constrained forest problems , 1992, SODA '92.
[181] Christos H. Papadimitriou,et al. An Algorithm for Shortest-Path Motion in Three Dimensions , 1985, Inf. Process. Lett..
[182] Rolf Klein,et al. Searching for the kernel of a polygon—a competitive strategy , 1995, SCG '95.
[183] Franz Aurenhammer,et al. Handbook of Computational Geometry , 2000 .
[184] D. T. Lee,et al. Shortest rectilinear paths among weighted obstacles , 1990, SCG '90.
[185] Pankaj K. Agarwal,et al. Approximating shortest paths on a nonconvex polyhedron , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[186] Sven Schuierer,et al. An optimal data structure for shortest rectilinear path queries in a simple rectilinear polygon , 1996, Int. J. Comput. Geom. Appl..
[187] Joseph S. B. Mitchell,et al. Approximation algorithms for geometric tour and network design problems (extended abstract) , 1995, SCG '95.
[188] Micha Sharir,et al. On shortest paths amidst convex polyhedra , 1987, SCG '86.
[189] Bernard Chazelle,et al. A theorem on polygon cutting with applications , 1982, 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982).
[190] Svante Carlsson,et al. Optimum Guard Covers and m-Watchmen Routes for Restricted Polygons , 1991, WADS.
[191] Svante Carlsson,et al. Computing a Shortest Watchman Path in a Simple Polygon in Polynomial-Time , 1995, WADS.
[192] Jörg-Rüdiger Sack,et al. Link Distance Problems , 2000, Handbook of Computational Geometry.
[193] Joseph S. B. Mitchell,et al. Two-point Euclidean shortest path queries in the plane , 1999, SODA '99.
[194] David P. Williamson,et al. A note on the prize collecting traveling salesman problem , 1993, Math. Program..
[195] Paul Chew,et al. There are Planar Graphs Almost as Good as the Complete Graph , 1989, J. Comput. Syst. Sci..
[196] Edmund Ihler,et al. The Complexity of Approximating the Class Steiner Tree Problem , 1991, WG.
[197] Mark R. Kindl,et al. A stochastic approach to the weighted-region problem : 1. the design of the path annealing algorithm , 1991 .
[198] David G. Kirkpatrick,et al. Approximating Shortest Paths in Arrangements of Lines , 1996, CCCG.
[199] Subir Kumar Ghosh,et al. Optimal On-line Algorithms for Walking with Minimum Number of Turns in Unknown Streets , 1997, Comput. Geom..
[200] Chee-Keng Yap,et al. Approximate Euclidean Shortest Paths in 3-Space , 1997, Int. J. Comput. Geom. Appl..
[201] Marshall W. Bern,et al. The Steiner Problem with Edge Lengths 1 and 2 , 1989, Inf. Process. Lett..
[202] Gordon T. Wilfong. Shortest paths for autonomous vehicles , 1989, Proceedings, 1989 International Conference on Robotics and Automation.
[203] Sariel Har-Peled,et al. Fly cheaply: on the minimum fuel-consumption problem , 1998, SCG '98.
[204] Joseph S. B. Mitchell,et al. Guillotine Subdivisions Approximate Polygonal Subdivisions: A Simple Polynomial-Time Approximation Scheme for Geometric TSP, k-MST, and Related Problems , 1999, SIAM J. Comput..
[205] Leonidas J. Guibas,et al. Approximating Polygons and Subdivisions with Minimum Link Paths , 1991, Int. J. Comput. Geom. Appl..
[206] Joonsoo Choi. Geodesic problems in high dimensions , 1996 .
[207] Amitava Datta,et al. Competitive Searching in Polygons - Beyond Generalised Streets , 1995, ISAAC.
[208] Robert E. Tarjan,et al. Relaxed heaps: an alternative to Fibonacci heaps with applications to parallel computation , 1988, CACM.
[209] Cor A. J. Hurkens. Nasty TSP Instances for Farthest Insertion , 1992, IPCO.
[210] David Eppstein,et al. Spanning Trees and Spanners , 2000, Handbook of Computational Geometry.
[211] Prabhakar Raghavan,et al. The Traveling Cameraman Problem, with Applications to Automatic Optical Inspection , 1994, ISAAC.
[212] V. Lumelsky,et al. Dynamic path planning for a mobile automaton with limited information on the environment , 1986 .
[213] Joseph O'Rourke,et al. Computing the geodesic diameter of a 3-polytope , 1989, SCG '89.
[214] Santosh S. Vempala,et al. A constant-factor approximation for the k-MST problem in the plane , 1995, STOC '95.
[215] Dorit S. Hochbaum,et al. An O(log k) approximation algorithm for the k minimum spanning tree problem in the plane , 1994, STOC '94.
[216] Robert E. Tarjan,et al. Finding Minimum Spanning Trees , 1976, SIAM J. Comput..
[217] J. MacGregor Smith,et al. Computational Geometry and Topological Network Design , 1992 .
[218] Pankaj K. Agarwal,et al. Motion planning for a steering-constrained robot through moderate obstacles , 1995, STOC '95.
[219] Noga Alon,et al. On-line steiner trees in the Euclidean plane , 1992, SCG '92.
[220] Micha Sharir,et al. Motion Planning in the Presence of Moving Obstacles , 1985, FOCS.
[221] Avrim Blum,et al. An Online Algorithm for Improving Performance in Navigation , 2000, SIAM J. Comput..
[222] Binay K. Bhattacharya,et al. Efficient Approximate Shortest-Path Queries Among Isothetic Rectangular Obstacles , 1993, WADS.
[223] John H. Reif,et al. Parallel Computational Geometry: An Approach using Randomization , 2000, Handbook of Computational Geometry.
[224] David Eppstein. Faster Geometric K-point MST Approximation , 1997, Comput. Geom..
[225] Pravin M. Vaidya,et al. Minimum Spanning Trees in k-Dimensional Space , 1988, SIAM J. Comput..
[226] Mariette Yvinec,et al. Convex Tours on Bounded Curvature , 1994, ESA.
[227] J. Reif,et al. Approximate Kinodynamic Planning Using L2-norm Dynamic Bounds , 1990 .
[228] Daniel J. Rosenkrantz,et al. An Analysis of Several Heuristics for the Traveling Salesman Problem , 1977, SIAM J. Comput..
[229] Boris Aronov,et al. The furthest-site geodesic voronoi diagram , 1993, SCG '88.
[230] Sudipto Guha,et al. Rounding via Trees : Deterministic Approximation Algorithms forGroup , 1998 .
[231] Esther M. Arkin,et al. Optimization Problems Related to Zigzag Pocket Machining , 1996, SODA '96.
[232] Franz Aurenhammer,et al. Voronoi Diagrams , 2000, Handbook of Computational Geometry.
[233] Christos H. Papadimitriou,et al. The Euclidean Traveling Salesman Problem is NP-Complete , 1977, Theor. Comput. Sci..
[234] Amitava Datta,et al. Path Planning with Local Information , 1988, FSTTCS.
[235] John F. Canny,et al. Planning smooth paths for mobile robots , 1989, Proceedings, 1989 International Conference on Robotics and Automation.
[236] R. S. Alexander. CONSTRUCTION OF OPTIMAL-PATH MAPS FOR HOMOGENEOUS-COST-REGION PATH-PLANNING PROBLEMS , 1989 .
[237] Christian Icking. Motion and visibility in simple polygons , 1994 .
[238] Joseph S. B. Mitchell,et al. An Algorithmic Approach to Some Problems in Terrain Navigation , 1988, Artif. Intell..
[239] Santosh S. Vempala,et al. New Approximation Guarantees for Minimum-Weight k-Trees and Prize-Collecting Salesmen , 1999, SIAM J. Comput..
[240] J. Canny,et al. Nonholonomic Motion Planning , 1992 .
[241] Kenneth L. Clarkson,et al. Rectilinear shortest paths through polygonal obstacles in O(n(logn)2) time , 1987, SCG '87.
[242] D. T. Lee,et al. Minimal Link Visibility Paths Inside a Simple Polygon , 1993, Comput. Geom..
[243] Noga Alon,et al. Long non-crossing configurations in the plane , 1993, SCG '93.
[244] Michel Pocchiola,et al. The visibility complex , 1993, SCG '93.
[245] Esther M. Arkin,et al. The Lawnmower Problem , 1993, Canadian Conference on Computational Geometry.
[246] Mark de Berg,et al. On Rectilinear Link Distance , 1991, Comput. Geom..
[247] Sui-Wing Cheng. The Steiner tree problem for terminals on the boundary of a rectilinear polygon , 2000, Theor. Comput. Sci..
[248] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[249] Anastassios N. Perakis,et al. Minimal Time Vessel Routing in a Time-Dependent Environment , 1989, Transp. Sci..
[250] M. I. Henig. The shortest path problem with two objective functions , 1986 .
[251] Vladimir J. Lumelsky,et al. Algorithmic and complexity issues of robot motion in an uncertain environment , 1987, J. Complex..
[252] L. Paul Chew,et al. Planning the shortest path for a disc in O(n2log n) time , 1985, SCG '85.
[253] Pankaj K. Agarwal,et al. Approximation algorithms for curvature-constrained shortest paths , 1996, SODA '96.
[254] J. O'Rourke. Uniqueness of Orthogonal Connect-the-Dots , 1988 .
[255] Yoshihide Igarashi,et al. An Efficient Strategy for Robot Navigation in Unknown Environment , 1994, Inf. Process. Lett..
[256] Matteo Fischetti,et al. Weighted k-cardinality trees: Complexity and polyhedral structure , 1994, Networks.
[257] S. Sitharama Iyengar,et al. On terrain acquisition by a point robot amidst polyhedral obstacles , 1988, IEEE J. Robotics Autom..
[258] Gerhard J. Woeginger,et al. Angle-Restricted Tours in the Plane , 1997, Comput. Geom..
[259] Kenneth L. Clarkson. Fast expected-time and approximation algorithms for geometric minimum spanning trees , 1984, STOC '84.
[260] Bala Kalyanasundaram,et al. Not All Insertion Methods Yield Constant Approximate Tours in the Euclidean Plane , 1994, Theor. Comput. Sci..
[261] Gordon T. Wilfong,et al. Planning constrained motion , 1988, STOC '88.
[262] Reuven Bar-Yehuda,et al. Triangulating disjoint Jordan chains , 1994, Int. J. Comput. Geom. Appl..
[263] Simeon C. Ntafos,et al. The Robber Route Problem , 1990, Inf. Process. Lett..
[264] Chee-Keng Yap,et al. Precision-Sensitive Euclidean Shortest Path in 3-Space , 2000, SIAM J. Comput..
[265] Bernard Chazelle,et al. Triangulating a simple polygon in linear time , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[266] Joonsoo Choi,et al. Monotonicity of rectilinear geodesics in d-space , 1996, SoCG 1996.
[267] Baruch Schieber,et al. Navigating in Unfamiliar Geometric Terrain , 1997, SIAM J. Comput..
[268] Andrzej Lingas,et al. Parallel algorithms for rectilinear link distance problems , 1993, [1993] Proceedings Seventh International Parallel Processing Symposium.
[269] David W. Payton,et al. Planning and reasoning for autonomous vehicle control , 1987 .
[270] Nageswara S. V. Rao. Algorithmic framework for learned robot navigation in unknown terrains , 1989, Computer.
[271] Egon Balas,et al. The prize collecting traveling salesman problem , 1989, Networks.
[272] Svante Carlsson,et al. Finding the Shortest Watchman Route in a Simple Polygon , 1993, ISAAC.
[273] Sanjeev Arora,et al. Nearly linear time approximation schemes for Euclidean TSP and other geometric problems , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[274] Joseph S. B. Mitchell,et al. The weighted region problem: finding shortest paths through a weighted planar subdivision , 1991, JACM.
[275] Clifford Stein,et al. Long tours and short superstrings , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[276] Leonidas J. Guibas,et al. An O(n²) Shortest Path Algorithm for a Non-Rotating Convex Body , 1988, J. Algorithms.
[277] Pankaj K. Agarwal,et al. Farthest Neighbors, Maximum Spanning Trees and Related Problems in Higher Dimensions , 1991, Comput. Geom..
[278] Subhash Suri,et al. Efficient computation of Euclidean shortest paths in the plane , 1993, Proceedings of 1993 IEEE 34th Annual Foundations of Computer Science.
[279] Rolf Klein,et al. A competitive strategy for learning a polygon , 1997, SODA '97.
[280] Tomio Hirata,et al. Shortest Safari Routes in Simple Polygon , 1994, ISAAC.
[281] A. Zelikovsky. Better approximation bounds for the network and Euclidean Steiner tree problems , 1996 .
[282] H. Alt,et al. Visibility graphs and obstacle-avoiding shortest paths , 1988, ZOR Methods Model. Oper. Res..
[283] Jörg-Rüdiger Sack,et al. Approximating weighted shortest paths on polyhedral surfaces , 1997, SCG '97.
[284] H. Sussmann. Shortest 3-dimensional paths with a prescribed curvature bound , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[285] Charles E. Leiserson,et al. Algorithms for routing and testing routability of planar VLSI layouts , 1985, STOC '85.
[286] Michel Pocchiola,et al. Topologically sweeping visibility complexes via pseudotriangulations , 1996, Discret. Comput. Geom..
[287] Pinaki Mitra,et al. Orthogonal shortest route queries among axis parallel rectangular obstacles , 1994, Int. J. Comput. Geom. Appl..
[288] Micha Sharir,et al. A Note on the Papadimitriou-Silverberg Algorithm for Planning Optimal Piecewise-Linear Motion of a Ladder , 2019, Inf. Process. Lett..
[289] Sanjeev Arora,et al. Polynomial time approximation schemes for Euclidean TSP and other geometric problems , 1996, Proceedings of 37th Conference on Foundations of Computer Science.
[290] Gordon T. Wilfong. Motion planning for an autonomous vehicle , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.
[291] Joseph S. B. Mitchell,et al. Shortest paths among obstacles in the plane , 1993, SCG '93.
[292] Santosh S. Vempala,et al. A Constant-Factor Approximation Algorithm for the Geometric k-MST Problem in the Plane , 1999, SIAM J. Comput..
[293] Pravin M. Vaidya,et al. AnO(n logn) algorithm for the all-nearest-neighbors Problem , 1989, Discret. Comput. Geom..
[294] David M. Mount,et al. The Number of Shortest Paths on the Surface of a Polyhedron , 1990, SIAM J. Comput..
[295] Tomio Hirata,et al. Constructing Shortest Watchman Routes by Divide-and-Conquer , 1993, ISAAC.
[296] Yossi Azar. Lower Bounds for Insertion Methods for TSP , 1994, Comb. Probab. Comput..
[297] M. Iri,et al. Polygonal Approximations of a Curve — Formulations and Algorithms , 1988 .
[298] Emo WELZL,et al. Constructing the Visibility Graph for n-Line Segments in O(n²) Time , 1985, Inf. Process. Lett..
[299] Bala Kalyanasundaram,et al. A Competitive Analysis of Algorithms for Searching Unknown Scenes , 1993, Comput. Geom..
[300] Tetsuo Asano,et al. d1-optimal motion for a rod (extended abstract) , 1996, SCG '96.
[301] Martin Held,et al. On the Computational Geometry of Pocket Machining , 1991, Lecture Notes in Computer Science.
[302] Joseph G. Peters,et al. Smallest paths in simple rectilinear polygons , 1992, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..
[303] Mikkel Thorup,et al. Undirected single source shortest paths in linear time , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[304] Joseph S. B. Mitchell,et al. Path planning in 0/1/ weighted regions with applications , 1988, SCG '88.
[305] D. T. Lee,et al. Finding an Approximate Minimum-Link Visibility Path Inside a Simple Polygon , 1995, Inf. Process. Lett..
[306] S. N. Maheshwari,et al. Efficient algorithms for Euclidean shortest path and visibility problems with polygonal obstacles , 1988, SCG '88.
[307] Joseph S. B. Mitchell,et al. Guillotine subdivisions approximate polygonal subdivisions: a simple new method for the geometric k-MST problem , 1996, SODA '96.
[308] John F. Canny,et al. New lower bound techniques for robot motion planning problems , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).
[309] Esther M. Arkin,et al. Logarithmic-time link path queries in a simple polygon , 1995, Int. J. Comput. Geom. Appl..
[310] Tetsuo Asano,et al. Clustering algorithms based on minimum and maximum spanning trees , 1988, SCG '88.
[311] Rajeev Raman,et al. Recent results on the single-source shortest paths problem , 1997, SIGA.
[312] Joseph S. B. Mitchell,et al. The Discrete Geodesic Problem , 1987, SIAM J. Comput..
[313] Yijie Han,et al. Shortest paths on a polyhedron , 1990, SCG '90.
[314] James Abello,et al. Visibility Graphs and Oriented Matroids , 1994, GD.
[315] Subhash Suri,et al. A pedestrian approach to ray shooting: shoot a ray, take a walk , 1993, SODA '93.
[316] Jürgen Sellen,et al. Approximation and decision algorithms for curvature-constrained path planning: a state-space approach , 1998 .
[317] Jon M. Kleinberg,et al. An improved approximation ratio for the minimum latency problem , 1996, SODA '96.
[318] Anastassios N. Perakis,et al. Deterministic Minimal Time Vessel Routing , 1990, Oper. Res..
[319] Michael Ian Shamos,et al. Computational geometry: an introduction , 1985 .
[320] Hongyan Wang,et al. On-Line Navigation Through Weighted Regions , 1993 .
[321] Mihalis Yannakakis,et al. Shortest Paths Without a Map , 1989, Theor. Comput. Sci..
[322] F. Hwang. On Steiner Minimal Trees with Rectilinear Distance , 1976 .
[323] Jon Jouis Bentley,et al. Fast Algorithms for Geometric Traveling Salesman Problems , 1992, INFORMS J. Comput..
[324] Michiel H. M. Smid,et al. Planar Spanners and Approximate Shortest Path Queries among Obstacles in the Plane , 1996, ESA.
[325] Richard M. Murray,et al. A motion planner for nonholonomic mobile robots , 1994, IEEE Trans. Robotics Autom..