Titlebook: Geometry of Digital Spaces; Gabor T. Herman Textbook 1998 Birkhäuser Boston 1998 Connected space.Geometry.Graph.Graph theory.Sim.Spaces.al

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expository

Cloning Flies on Sugar Cubes,, a computerized tomography (CT) scanner estimates the X-ray attenuation coefficient inside a human body at points of a three-dimensional rectangular grid. When displaying the results of such an estimation, we usually use a sequence of two-dimensional images, such as those shown in Figure 1.1.1. In

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Digital Spaces, motivation comes from practical applications in which boundaries need to be identified in multidimensional data sets with the further aim of displaying them on a computer screen (see Figure 1.1.3). Our definitions are biased towards such applications. One of our aims is to characterize surfaces wit

货物

Topological Digital Spaces,ter justifies for mathematicians the approach that we have decided to take and discusses its relationship to some other possible mathematical approaches. So if you are happy with the way we are doing things and you do not particularly desire to learn more about mathematics than what is absolutely ne

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Jordan Graphs,ll 1-simply connected digital spaces are in this category, including by Theorem 6.4.5 (. , α.), (. ,δ.), (. , κ.), (. , ε.) (for any .-dimensional direction vector .) and, when . ≥ 2, (. , β.), for any .-dimensional sign function .. That the digital spaces of this last kind have the stated property