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Titlebook: Data Structures and Efficient Algorithms; Final Report on the B. Monien,Th. Ottmann Book 1992 Springer-Verlag Berlin Heidelberg 1992 algor

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Selected topics from computational geometry, data structures and motion planning,
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Resemblance and symmetries of geometric patterns,nalysis. In particular, algorithms are described for determining the exact and approximate . of finite sets of points in the plane. This problem is generalized to polygonal curves in the plane, where variuos cases are considered depending on the set of rigid motions (translations, rotations) allowed
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Distributed image synthesis with breadth-first ray tracing and the ray-z-buffer,s means that first all rays of view are treated, next the set of reflection and refraction rays, then the reflection and refraction rays caused by them, and so on. The calculation of intersections for a generation of rays uses the ray-z-buffer algorithm. Like the original z-buffer algorithm, the ray
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,Monotonous Bisector* Trees — a tool for efficient partitioning of complex scenes of geometric objecal metric spaces with an efficiently computable distance function. We present a data structure called ., which can be regarded as a divisive hierarchical approach of centralized clustering methods (compare [3] and [12]). We analyze some structural properties showing that Monotonous Bisector Trees ar
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