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Titlebook: Computational Geometry; An Introduction Franco P. Preparata,Michael Ian Shamos Textbook 1985 Springer Science+Business Media New York 1985

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楼主: DIGN
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Stochastic Integration in a Hilbert Space, unrelated questions arising in computational geometry. The computation of the convex hull of a finite set of points, particularly in the plane, has been studied extensively and has applications, for example, in pattern recognition [Akl–CToussaint (1978); Duda–CHart (1973)], image processing [Rosenf
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https://doi.org/10.1007/978-3-319-94893-5ld be a simple extension, but it is not. The two farthest points are necessarily hull vertices and we may exploit convexity to give a fast algorithm; the two closest points do not necessarily bear any relation to the convex hull, so a new technique must be developed, which is the subject of this cha
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Xiqun (Michael) Chen,Li Li,Qixin Shiental proximity problems and an exceptionally attractive mathematical object in its own right. Indeed, these two facets—the instrumental and the aesthetic—have been the inspiration of a considerable amount of research on the topic. This chapter is devoted to the illustration of these extensions. Spe
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https://doi.org/10.1007/978-3-031-11143-3egments, each of which is either parallel or orthogonal to any other member of the collection, can be handled by the general segment intersection technique described in the preceding chapter. However, the very special nature of segments having just two orthogonal directions, or of rectangles whose s
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Introduction,ely and fairly and to erect buildings. As often happens, the mathematics that developed had permanence and significance that far transcend the Pharaoh’s original revenue problem, for Geometry is at the heart of mathematical thinking. It is a field in which intuition abounds and new discoveries are w
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Geometric Searching,sample”). Searching consists of relating the sample to the file. Accessory operations—conceptually not a part of searching—may involve absorbing the sample into the file, deleting the sample from the file if already present, and so on. As Knuth (1973) points out, searching means to locate the approp
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