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The exact clear zone envelope for piecewise-linear alignment data

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  • Lovell, David J.
  • Iida, Tomohisa

Abstract

This paper demonstrates how to construct the boundary of the clear zone adjacent to a roadway alignment, based only on horizontal sight distance considerations, when the alignment data are piecewise-linear on a fine lattice. In this case, it is shown that the clear zone envelope is piecewise-quadratic, and an efficient algorithm is given for constructing the parameters of each of the pieces of this curve. Special algorithm considerations are included, such as how to deal with overlapping and underlapping quadratic segments, as well as an efficient sort algorithm provided to initialize problem data properly.

Suggested Citation

  • Lovell, David J. & Iida, Tomohisa, 2003. "The exact clear zone envelope for piecewise-linear alignment data," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 485-499, June.
    • Handle: RePEc:eee:transb:v:37:y:2003:i:5:p:485-499
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    References listed on IDEAS

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    1. Lovell, David J. & Jong, Jyh-Cherng & Chang, Peter C., 2001. "Clear zone requirements based on horizontal sight distance considerations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(5), pages 391-411, June.
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    1. Iida, Tomohisa & Lovell, David J., 2007. "Convergence of piecewise-linear envelope curves in transportation design," Transportation Research Part B: Methodological, Elsevier, vol. 41(5), pages 527-539, June.

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