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P. Hart, N. Nilsson and B. Raphael, “A Formal Basis for the Heuristic Determination of Minimum Cost Paths,” IEEE Transactions on Systems Science and Cybernetics, 1968, Vol. 4, No. 2, pp. 100-107.

has been cited by the following article:

• TITLE: A Linear Interpolation-Based Algorithm for Path Planning and Replanning on Girds

  AUTHORS: Changwen Zheng, Jiawei Cai, Huafei Yin

  KEYWORDS: Field D* Algorithm; Path Planning and Replanning; Any-Angle Path; Linear Interpolation; Grid Cell

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.2 No.2, June 29, 2012

  ABSTRACT: Field D* algorithm is widely used in mobile robot navigation since it can plan and replan any-angle paths through non-uniform cost grids. However, it still suffers from inefficiency and sub-optimality. In this article, a new linear interpolation-based planning and replanning algorithm, Update-Reducing Field D*, is proposed. It employs different approaches during initial planning and replanning respectively in order to reduce the number of updates of the rhs-values of vertices. Experiments have shown that Update-Reducing Field D* runs faster than Field D* and returns smoother and lower-cost paths.