Rectilinear shortest paths among obstacles in the plane (original) (raw)

On orientations and shortest paths

Nimrod Megiddo

Linear Algebra and its Applications, 1989

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A Variant to Naismith's Problem with Application to Path Planning

Erik Verriest

Proceedings of the 17th IFAC World Congress, 2008, 2008

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On the determination of the optimum path in space

Marinos Kavouras

… Information Theory A Theoretical Basis for …, 1995

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Finding minimum rectilinear distance paths in the presence of barriers

Victor Li

Networks, 1981

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A near-optimal algorithm for shortest paths among curved obstacles in the plane

Subhash Suri

Proceedings of the 29th annual symposium on Symposuim on computational geometry - SoCG '13, 2013

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Parallel rectilinear shortest paths with rectangular obstacles

Alok Aggarwal, Dina Kravets

Computational Geometry, 1991

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Shortest Paths Among Obstacles in the Plane

Joseph Mitchell

International Journal of Computational Geometry & Applications, 1996

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Generalized Unfoldings for Shortest Paths

Chanderjit Bajaj

The International Journal of Robotics Research, 1988

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DETERMINATION OF THE OPTIMUM PATH ON THE EARTH'S SURFACE (extended abstract)

Marinos Kavouras

Citeseer

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Shortest Paths and Networks

Joseph Mitchell

Handbook of Discrete and Computational Geometry, Second Edition, 2004

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An Optimal Algorithm for Euclidean Shortest Paths in the Plane

Subhash Suri

SIAM Journal on Computing, 1999

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Rectilinear Path Problems among Rectilinear Obstacles Revisited

D.t Lee

SIAM Journal on Computing, 1995

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On finding energy-minimizing paths on terrains

John Reif

IEEE Transactions on Robotics, 2000

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The Potential and Limits of Optimal Path Analysis [book chapter 2013]

Irmela Herzog

In: A. Bevan/M. Lake (eds.) 2013, Computational Approaches to Archaeological Spaces. Left Coast Press, pp. 179-211.

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Constructing The Shortest Path On A Cylindrical Surface

Chronis Kynigos

2018

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Shortest Path Queries in Rectilinear Worlds

Marc Van Kreveld

International Journal of Computational Geometry & Applications, 1992

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Determination of the Optimum Path on the Earth's Surface

Marinos Kavouras

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Finding shortest path in the presence of barriers: An alternate approach

Dinesh Sharma

Applied Mathematics and Computation, 2007

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Rectilinear Shortest Paths Through Polygonal Obstacles in O(n (log n)2) Time

Sanjiv Kapoor

Symposium on Computational Geometry, 1987

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On Ulam’s Problem of Path Planning, and “How to Move Heavy Furniture”

Erik Verriest

Proceedings of the 18th IFAC World Congress, 2011

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Shortest Non-Crossing Rectilinear Paths in Plane Regions

Takao Nishizeki

International Journal of Computational Geometry & Applications, 1997

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Shortest Anisotropic Paths on Terrains

Jörg-rüdiger Sack

Lecture Notes in Computer Science, 1999

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Minimum-link paths among obstacles in the plane

Joseph Mitchell

Algorithmica, 1992

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A solution to the two-dimensional findpath problem

Jito Vanualailai

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Shortest paths among transient obstacles

Jörg-rüdiger Sack

Journal of Combinatorial Optimization, 2020

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Planar spanners and approximate shortest path queries among obstacles in the plane

Christos Zaroliagis

1996

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Path planning and the topology of configuration space

Anthony Maciejewski

IEEE Transactions on Robotics and Automation, 1993

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Rectilinear Shortest Paths Among Transient Obstacles

Jörg-rüdiger Sack

Lecture Notes in Computer Science, 2018

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A kyno-dynamic metric to plan stable paths over uneven terrain

Jaime Valls Miro

2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2010

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A Constant Factor Approximation for Navigating Through Connected Obstacles in the Plane

Subhash Suri

2021

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On the Fundamental Relationships Among Path Planning Alternatives

Ross Knepper

2018

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Shortest Path Algorithms between Theory and Practice

Ahmed Shokry

2019

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Strategies of the Level-By-Level Approach to the Minimal Route

Konstantin Mironov

Advances in Science, Technology and Engineering Systems Journal, 2019

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Roadmap-Based Path Planning - Using the Voronoi Diagram for a Clearance-Based Shortest Path

Priyadarshi Bhattacharya

IEEE Robotics & Automation Magazine, 2008

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Generalized Unfoldings for Shortest Paths in Euclidean 3-Space

Chandrajit Bajaj

1985

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