Titlebook: Discrete Calculus; Applied Analysis on Leo J. Grady,Jonathan R. Polimeni Book 2010 Springer-Verlag London Limited 2010 Analysis.Graph.Grap

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David Mainprice,Benoit Ildefonse been sufficient to define the domain upon which we may perform data analysis. However, an intrinsic metric defined on a network may be interpreted as the metric that would have been obtained if the network had been embedded into an ambient space equipped with its own metric. Consequently, it is pos

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Leo J. Grady,Jonathan R. PolimeniPresents a thorough review of discrete calculus, with a focus on key concepts required for successful application.Unifies many standard image processing algorithms into a common framework.Provides num

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Circuit Theory and Other Discrete Physical Modelss the central physical model for applying and understanding the concepts of discrete calculus on graphs for three reasons: because much of the progress in graph theory over the last century was created in the context of circuit theory; because of the early connection made between circuit theory and

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Building a Weighted Complex from Datand (e.g., road networks, social networks, communication networks, chemical graph theory or surface simplification). However, in many other applications the appropriate representation of the data to be analyzed is not provided (e.g., machine learning). Therefore, to use the tools of discrete calculus