Title
A comparative study of transformation functions for nonrigid image registration.
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.
Year
DOI
Venue
2006
10.1109/TIP.2005.863114
IEEE Transactions on Image Processing
Keywords
Field
DocType
major role,weighted-mean,multiquadric,radial basis functions,control point,nonrigid image registration,control-point correspondence,comparative study,piecewise linear,thin-plate spline,accurate registration,large system,index terms{image registration,averaging process,incorrect correspondence,large set,transformation function,control systems,thin plate spline,spline,system of equations,cost function,algorithms,image registration,image fusion,labeling,indexing terms,radial basis function,layout
Spline (mathematics),Radial basis function,Image processing,Artificial intelligence,Piecewise linear function,Computer vision,Control point,Transformation (function),System of linear equations,Pattern recognition,Algorithm,Mathematics,Image registration
Journal
Volume
Issue
ISSN
15
3
1057-7149
Citations 
PageRank 
References 
42
2.19
40
Authors
2
Name
Order
Citations
PageRank
Lyubomir Zagorchev1667.98
A. Goshtasby237063.41