6 research outputs found

    Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint

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    International audienceGiven a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering information as q moves

    Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint

    Get PDF
    Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering information as q moves

    Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint

    Get PDF
    Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering information as q moves. In linear space, and after O(n log n) preprocessing time, our solution maintains the view at a cost of O(log n) amortized time (resp. O(log² n) worst case time) for each change. Our algorithm can also be used to maintain the set of points sorted according to their distance to q
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