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A New Linear Time Algorithm for Computing the Convex Hull of a Simple Polygon

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Operations Research ’93

Abstract

The problem of determining the convex hull of a simple polygon has received a lot of attention in the early eighties. The first linear time algorithm for this task was proposed by Sklansky (1972). Sklansky’s Algorithm can be described as follows:

Start at an extreme point of the polygon. Delete all left turns while moving around the polygon in clockwise direction. After each step backtrack until the path from the starting point to the point currently considered given by the not (yet) deleted points has right turns only.

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References

  • Bhattacharya B, Elgindy H (1984) A New Linear Convex Hull Algorithm for Simple Polygons. IEEE Trans. Inform. Theory, vol. IT-30, no. 1: 85–88

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© 1994 Physica-Verlag Heidelberg

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Hochstättler, W., Kromberg, S., Moll, C. (1994). A New Linear Time Algorithm for Computing the Convex Hull of a Simple Polygon. In: Bachem, A., Derigs, U., Jünger, M., Schrader, R. (eds) Operations Research ’93. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-46955-8_61

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  • DOI: https://doi.org/10.1007/978-3-642-46955-8_61

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0794-3

  • Online ISBN: 978-3-642-46955-8

  • eBook Packages: Springer Book Archive

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