Numerical Methods for Image Registration

Hardcover | December 24, 2003

byJan Modersitzki

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Based on the author's lecture notes and research, this well-illustrated and comprehensive text is one of the first to provide an introduction to image registration with particular emphasis on numerical methods in medical imaging. Ideal for researchers in industry and academia, it is also asuitable study guide for graduate mathematicians, computer scientists, engineers, medical physicists, and radiologists.Image registration is utilised whenever information obtained from different viewpoints needs to be combined or compared and unwanted distortion needs to be eliminated. For example, CCTV images, ultrasound images, brain scan images, fingerprint and retinal scanning.Modersitzki's book provides a systematic introduction to the theoretical, practical, and numerical aspects of image registration, with special emphasis on medical applications. Various techniques are described, discussed and compared using numerous illustrations.The text starts with an introduction to the mathematical principles and the motivating example of the Human Neuroscanning Project whose aim is to build an atlas of the human brain through reconstructing essential information out of deformed images of sections of a prepared brain.The introduction is followed by coverage of parametric image registrations such as landmark based, principal axes based, and optimal affine linear registration. Basic distance measures like sum of squared differences, correlation, and mutual information are also discussed. The next section is devoted to state-of-the-art non-parametric image registrations where general variational based framework for image registration is presented and used to describe and compare well-known and new image registration techniques. Finally, efficient numerical schemes for the underlyingpartial differential equations are presented and discussed.This text treats the basic mathematical principles, including aspects from approximation theory, image processing, numerics, partial differential equations, and statistics, with a strong focus on numerical methods in image processing. Providing a systematic and general framework for imageregistration, the book not only presents state-of-the-art concepts but also summarises and classifies the numerous techniques to be found in the literature.

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From the Publisher

Based on the author's lecture notes and research, this well-illustrated and comprehensive text is one of the first to provide an introduction to image registration with particular emphasis on numerical methods in medical imaging. Ideal for researchers in industry and academia, it is also asuitable study guide for graduate mathematician...

Jan Modersitzki is at Institute of Mathematics, University of Lubeck.
Format:HardcoverDimensions:216 pages, 9.21 × 6.14 × 0.63 inPublished:December 24, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528418

ISBN - 13:9780198528418

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Table of Contents

1. Introduction2. The Human Neuroscanning Project3. The mathematical settingI PARAMETRIC IMAGE REGISTRATION4. Landmark based registration5. Principal axes based registration6. Optimal linear registration7. Summarizing parametric image registrationII NON-PARAMETRIC IMAGE REGISTRATION8. Non-parametric image registration9. Elastic registration10. Fluid registration11. Diffusion registration12. Curvature registration13. Concluding remarks

Editorial Reviews

`This book is definitely award-worthy in its timeliness, clarity, completeness, and impotrance. This reviewer personally votes for this work as the best in 2004 in the area of imaging sciences.'Jianhong Shen in Mathematical Reviews 2005h