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On the Determination of the Optimum Path in Space (1995)  (Make Corrections)  
Emmanuel Stefanakis, Marinos Kavouras
Spatial Information Theory



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Abstract: Various algorithms have been proposed for the determination of the optimum paths in line networks. Moving in space is a far more complex problem, where research has been scarce. An example would be the determination of the shortest sea course between two given ports. This paper presents an examination of the problem, states the weaknesses of the existing solutions, and introduces a new approach, which can be easily applied to a variety of spaces, while considering different travel cost... (Update)

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BibTeX entry:   (Update)

@inproceedings{ stefanakis95determination,
    author = "Emmanuel Stefanakis and Marinos Kavouras",
    title = "On the Determination of the Optimum Path in Space",
    booktitle = "Spatial Information Theory",
    pages = "241-257",
    year = "1995",
    url = "citeseer.ist.psu.edu/stefanakis95determination.html" }
Citations (may not include all citations):
110   Fundamentals of Spatial Information Systems (context) - Laurini, Thompson - 1992
107   Algorithmic Graph Theory (context) - Gibbons - 1985
55   Geographic Information Systems and Cartographic Modeling (context) - Tomlin - 1990
36   Efficient Algorithms for Shortest Paths in Sparse Networks (context) - Johnson - 1977
24   Geographic Information Systems: A Management Perspective (context) - Aronoff - 1989
21   Fast Algorithms for Shortest Paths in Planar Graphs, with Ap.. (context) - Frederickson - 1987
12   A Hierarchical Spatial Data Structure for Global Geographic .. (context) - Goodchild, Shiren - 1992
12   A Hierarchical Spatial Data Structure for Global Geographic .. (context) - Goodchild, Shiren - 1990
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3   A Note on Two Problems in Connection Graphs (context) - Dijkstra - 1959
3   Automated Derivation of Hydrologic Basin Characteristics fro.. (context) - Jensen - 1985
2   A Solution to the Least Cost Path Problem in GIS (context) - Douglas - 1994
2   The Parsimonious Path Based on the Implicit Geometry in Grid.. (context) - Douglas - 1994
2   Modeling Locational Uncertainty via Hierarchical Tessellatio.. (context) - Dutton - 1989
2   Proposed Solution for the Minimum Path Problem (context) - Lindgren - 1967
2   Transatlantic Flights and Pressure Patterns (context) - Warntz - 1961
2   A Minimum Path Problem Reconsidered (context) - Lindgren - 1969
2   A Study of the Movement of a Point on a Plane and in Space (context) - Lindgren - 1969
2   Geodesic Modeling of Planetary Relief (context) - Dutton - 1984
2   Transportation, Social Physics, and the Law of Refraction (context) - Warntz - 1957

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