Titlebook: Mathematical Tools for Shape Analysis and Description; Silvia Biasotti,Bianca Falcidieno,Michela Spagnuol Book 2014 Springer Nature Switze

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Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolodently despised the mass of spectators, wrote for two appreciative observers: himself as thinker rather than as poet, and the ‘theoretical man’, Socrates. In this fashion he paved the way for the New Comedy and strangled tragedy shortly after its birth. But that was his intention. We know Euripides

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Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolodently despised the mass of spectators, wrote for two appreciative observers: himself as thinker rather than as poet, and the ‘theoretical man’, Socrates. In this fashion he paved the way for the New Comedy and strangled tragedy shortly after its birth. But that was his intention. We know Euripides

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Differential Geometry and Shape Analysis,, and it is concerned with questions of shape and size measurements. Geometry is still used to model objects, as our ancestors once did, but today geometric concepts have evolved to a higher level of abstraction and complexity.

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Differential Topology and Shape Analysis,defined on the manifold. Let us first introduce the definition of Morse fonction, and then state the main results provided by Morse theory for the topological analysis of smooth manifolds, such as surfaces. A basic reference for Morse theory is [141], while details about notions of geometry and topology can be found, for example, in [104].

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Topological Persistence,troduced ., a technique which grows a space incrementally and analyzes the placement of topological events within the history of this growth: for example, the . of a connected component and its . when it merges into another component, the birth of a hole and its death after it is filled (section 11.1).

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2469-4215 hods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proce

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Book 2014on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to adva

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