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Mathematics | Mathematical Models for Registration and Applications to Medical Imaging

Mathematical Models for Registration and Applications to Medical Imaging

Scherzer, Otmar (Ed.)

2006, X, 191 p. 54 illus., 12 in color.

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  • About this book

This volume provides an up-to-date survey on mathematical and computational methods in image registration. This is an emerging topic in applied and computational science, with profound applications for instance in medicine, and image and video processing.

Especially during the last year sophisticated numerical models for registration and efficient numerical methods (in particular variational methods and partial differential equations) have been proposed. Many of them are contained in this volume.

Moreover, some practical applications and novel directions with industrial relevance in data processing are indicated.

The combination of practice and novel mathematical aspects makes the book very suitable for the ECMI series "Mathematics in Industry".

The most important contributions in this volume summarize the state of the art in mathematical and computational methods in image registration, based on variational and partial differential equations. The key contributions state sophisticated mathematical modelling, as well as numerical methods.

The book contains many realistic examples with real world data.

Content Level » Research

Keywords » Interpolation - Mathematical Modelling - Numerical and Computational Methods - Optical Flow - Registration - Variational and PDE methods - image registration - ultrasound

Related subjects » Image Processing - Mathematics - Radiology

Table of contents 

Numerical Methods.- A Generalized Image Registration Framework using Incomplete Image Information – with Applications to Lesion Mapping.- Medical Image Registration and Interpolation by Optical Flow with Maximal Rigidity.- Registration of Histological Serial Sectionings.- Computational Methods for Nonlinear Image Registration.- A Survey on Variational Optic Flow Methods for Small Displacements.- Applications.- Fast Image Matching for Generation of Panorama Ultrasound.- Inpainting of Movies Using Optical Flow.- Medical Applications.- Multimodality Registration in Daily Clinical Practice.- Colour Images.

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