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Large scale problems arising from image registration
Author(s) -
Fischer Bernd,
Modersitzki Jan
Publication year - 2005
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201490006
Subject(s) - image registration , computer science , image (mathematics) , point (geometry) , scale (ratio) , subject (documents) , artificial intelligence , mathematical optimization , mathematics , geography , cartography , geometry , library science
Image registration, in particular medical image registration, has been subject to extensive studies in the past years. Its versatile and important applications have attracted researchers from various branches, including numerical analysts. In this note, we not only give an overview on some new and exiting approaches but also point out some of the mathematical challenges associated with these approaches. Moreover, we explain why variational based methods to image registration naturally lead to large scaled and challenging optimization and hence numerical linear algebra problems. We present various instructive examples and comment on numerical schemes. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)