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  • 1
    Electronic Resource
    Electronic Resource
    Cross-Ratios and Angles Determine a Polygon (1999)
    Springer
    Discrete & computational geometry 22 (1999), S. 619-631 
    Details
    ISSN: 1432-0444
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract. We prove that a unique simple polygon is determined, up to similarity, by the interior angles at its vertices and the cross-ratios of diagonals of any given triangulation. (The cross-ratio of a diagonal is the product of the ratio of edge lengths for the two adjacent triangles.) This establishes a conjecture of Driscoll and Vavasis, and shows the correctness of a key step of their algorithm for computing Schwarz—Christoffel transformations mapping a disk to a polygon.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00009481
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