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Canonical Polygon Queries on the Plane: A New Approach

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Figure

Fig. 1.Pb: the search path, Lb: the nodes that are left sons of nodeson Pb and do not belong to the path.
Fig. 4.An example of Geometric Duality Transformation: Dual pairs
Fig. 6.The second solution. The lists P, L, S and its respective HalfPlane (HP) structures
Fig. 8.An example of Sectors and Quads

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