PMID: 16519341Mar 8, 2006Paper

A comparative study of transformation functions for nonrigid image registration

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Lyubomir Zagorchev, Ardeshir Goshtasby

Abstract

Transformation functions play a major role in nonrigid image registration. In this paper, the characteristics of thin-plate spline (TPS), multiquadric (MQ), piecewise linear (PL), and weighted mean (WM) transformations are explored and their performances in nonrigid image registration are compared. TPS and MQ are found to be most suitable when the set of control-point correspondences is not large (fewer than a thousand) and variation in spacing between the control points is not large. When spacing between the control points varies greatly, PL is found to produce a more accurate registration than TPS and MQ. When a very large set of control points is given and the control points contain positional inaccuracies, WM is preferred over TPS, MQ, and PL because it uses an averaging process that smoothes the noise and does not require the solution of a very large system of equations. Use of transformation functions in the detection of incorrect correspondences is also discussed.

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Citations

Mar 20, 2010·Journal of Angiogenesis Research·Lyubomir ZagorchevThierry Couffinhal
Nov 11, 2006·Annals of Surgical Oncology·Ergun KocakEdward W Martin
Nov 16, 2013·BioMed Research International·Wu Zhou, Yaoqin Xie
Sep 17, 2013·Journal of Visual Communication and Image Representation·Q R RazlighiS Yousefi
Jun 2, 2009·Computers in Biology and Medicine·Vasiliki E MarkakiGeorge K Matsopoulos
Mar 24, 2009·European Journal of Radiology·Lyubomir Zagorchev, Mary J Mulligan-Kehoe
May 28, 2010·The International Journal of Medical Robotics + Computer Assisted Surgery : MRCAS·Jong-Ha LeeNathaniel Marchetti
Jan 15, 2011·IEEE Transactions on Visualization and Computer Graphics·Taehyun RheeKrishna S Nayak
Mar 24, 2012·IEEE Transactions on Pattern Analysis and Machine Intelligence·Csaba DomokosZoltan Kato
Jun 7, 2013·IEEE Transactions on Medical Imaging·Aristeidis SotirasNikos Paragios
Dec 25, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Jinchang RenTheodore Vlachos
Feb 14, 2008·IEEE Transactions on Medical Imaging·M Holden
Mar 11, 2009·IEEE Transactions on Bio-medical Engineering·Valentina AgostiniFilippo Molinari
Jun 6, 2009·IEEE Transactions on Neural Networks·Kevin Stanley McFall, James Robert Mahan
Jul 4, 2008·IEEE Transactions on Bio-medical Engineering·Valentina AgostiniFilippo Molinari
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Jan 1, 2014·Journal of Biomedical Informatics·Hongchuan YuTong-Yee Lee
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Jun 3, 2016·International Journal of Computer Assisted Radiology and Surgery·Andreas SchoobTobias Ortmaier

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