Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis With Applications
商品資訊
商品簡介
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.
作者簡介
Chiara Brombin is Temporary FIRB researcher at the Faculty of Psychology (University Vita-Salute San Raffaele) and national coordinator of the research project FIRB 2012 (RBFR12VHR7) "Interpreting emotions: a computational tool integrating facial expressions and biosignals based on shape analysis and Bayesian networks" .
Laura Fontanella is a Marie Curie fellow at the Hebrew University of Jerusalem. Her research interests lie in Set Theory and Foundations of Mathematics.
Caterina Fusilli holds a Bachelor's Degree in Statistics and Information Technologies (2007) and a Master Degree in Statistics for Biomedicine, Environment and Technology (2009) from the University of Rome "La Sapienza" of Rome. He also holds a PhD in Economics and Statistics - Statistical Curriculum (2013) at the University "G. d'Annunzio" of Chieti - Pescara. His research interests include the Next-Generation Sequencing, Bioinformatics, the Shape Analysis, Cluster Analysis and Models in Mistura After.
Luigi Ippoliti is an Associate Professor in Statistics at University of Chieti-Pescara. His research interests include Spatial and Spatio-Temporal Modelling of environmental phenomena and Neuro-Physiological Signals.
Luigi Salmaso is a Professor of Statistics at the Department of Management and Engineering at University of Padova. His research interests include biostatistics, statistical methods for marketing research, design of experiments, nonparametric statistics and agricultural statistics.
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