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 a suitable 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 underlying
partial 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 image registration, 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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