@inbook {IOPORT.05321237,
    author       = {Beder, Christian},
    title        = {Fast statistically geometric reasoning about uncertain line segments in 2D- and 3D-space.},
    year         = {2004},
    booktitle    = {Pattern recognition. 26th DAGM symposium, T\"ubingen, Germany, August 30--September 1, 2004. Proceedings},
    isbn         = {978-3-540-22945-2},
    pages        = {375-382},
    publisher    = {Berlin: Springer},
    doi          = {10.1007/b99676},
    abstract     = {Summary: This work addresses the two major drawbacks of current statistical uncertain geometric reasoning approaches. In the first part a framework is presented, that allows to represent uncertain line segments in 2D- and 3D-space and perform statistical test with these practically very important types of entities. The second part addresses the issue of performance of geometric reasoning. A data structure is introduced, that allows the efficient processing of large amounts of statistical tests involving geometric entities. The running times of this approach are finally evaluated experimentally.},
    identifier   = {05321237},
}