Modeling and Inverse Problems in Imaging Analysis
By: by Bernard Chalmond
Series: Applied Mathematical Sciences -- 155; Applied mathematical sciences (Springer-Verlag New York Inc.) -- 155.
Publisher: Springer New York
Published: 2003
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 309
ISBN-13: 9781441930491; 9780387216621
Subjects: Mathematics; Computer vision; Mathematical statistics
Other titles: Translated by Kari A. Foster.
Description: More mathematics have been taking part in the development of digital image processing as a science, and the contributions are reflected in the increasingly important role modeling has played solving complex problems. This book is mostly concerned with energy-based models. Through concrete image analysis problems, the author develops consistent modeling, a know-how generally hidden in the proposed solutions. The book is divided into three main parts. The first two parts describe the theory behind the applications that are presented in the third part. These materials include splines (variational approach, regression spline, spline in high dimension) and random fields (Markovian field, parametric estimation, stochastic and deterministic optimization, continuous Gaussian field). Most of these applications come from industrial projects in which the author was involved in robot vision and radiography: tracking 3-D lines, radiographic image processing, 3-D reconstruction and tomography, matching and deformation learning. Numerous graphical illustrations accompany the text showing the performance of the proposed models. This book will be useful to researchers and graduate students in mathematics, physics, computer science, and engineering.
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Table of contents: title: Introduction; title: Non-Parametric Spline Models; title: Parametric Spline Models; title: Auto-Associative Models; title: Fundamental Aspects; title: Bayesian Estimation; title: Simulation and Optimization; title: Parameter Estimation; title: Model-Building; title: Degradation in Imaging; title: Detection of Filamentary Entities; title: Reconstruction and Projections; title: Matching; title: References.