Computational geometry measure problem

  • What are the core problems of computational geometry?

    Some fundamental problems of this type are: Convex hull: Given a set of points, find the smallest convex polyhedron/polygon containing all the points.
    Line segment intersection: Find the intersections between a given set of line segments.
    Delaunay triangulation..

  • What is the Klee's measure problem?

    Klee's measure problem is, without exaggeration, easy to state: Given a set B of n axis-parallel boxes (hyperrectangles) in IRd, compute the volume of the union of B.
    The dimension d is assumed to be a constant in this paper..

In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular ranges can be computed. Here, a d-dimensional rectangular range is defined to be a Cartesian product of d intervals of real numbers, which is a subset of Rd.
In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular 
Computational geometry measure problem
Computational geometry measure problem

Computational geometry problem

In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular ranges can be computed.
Here, a d-dimensional rectangular range is defined to be a Cartesian product of d intervals of real numbers, which is a subset of Rd.

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