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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications
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Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications
Chiara Brombin, Luigi Salmaso, Lara Fontanella, Luigi Ippoliti, Caterina Fusilli (Broschiert, Englisch)
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Beschreibung
This book considers specific inferential issues arising from the analysis of dynamic shapes with the attempt to solve the problems at hand using probability models and nonparametric tests. The models are simple to understand and interpret and provide a useful tool to describe the global dynamics of the landmark configurations. However, because of the non-Euclidean nature of shape spaces,… distributions in shape spaces are not straightforward to obtain. The book explores the use of the Gaussian distribution in the configuration space, with similarity transformations integrated out. Specifically, it works with the offset-normal shape distribution as a probability model for statistical inference on a sample of a temporal sequence of landmark configurations. This enables inference for Gaussian processes from configurations onto the shape space. The book is divided in two parts, with the first three chapters covering material on the offset-normal shape distribution, and the remaining chapters covering the theory of NonParametric Combination (NPC) tests. The chapters offer a collection of applications which are bound together by the theme of this book. They refer to the analysis of data from the FG-NET (Face and Gesture Recognition Research Network) database with facial expressions. For these data, it may be desirable to provide a description of the dynamics of the expressions, or testing whether there is a difference between the dynamics of two facial expressions or testing which of the landmarks are more informative in explaining the pattern of an expression. 53,49 €
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Technische Daten
Erscheinungsdatum
19.02.2016
Sprache
Englisch
EAN
9783319263106
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
SpringerBriefs in Statistics
Sonderedition
Nein
Autor
Chiara Brombin, Luigi Salmaso, Lara Fontanella, Luigi Ippoliti, Caterina Fusilli
Seitenanzahl
115
Einbandart
Broschiert
Schlagwörter
Shape Analysis, Dynamic Shapes, NonParametric Combination (NPC), Parametric Methodology, Nonparametric Methodology, Statistical Shape Analysis, Shape Inference, Expectation Maximization Algorithm, Offset-normal Shape Distribution
Thema-Inhalt
PBT - Wahrscheinlichkeitsrechnung und Statistik
UYAM - Mathematik für Informatiker
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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