A comparative study of transformation functions for nonrigid image registration

Author

Zagorchev, Lyubomir ; Goshtasby, Ardeshir

Author_Institution

Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA

Volume

15

Issue

3

fYear

2006

fDate

3/1/2006 12:00:00 AM

Firstpage

529

Lastpage

538

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.

Keywords

image registration; piecewise linear techniques; splines (mathematics); control points domain; multiquadric transformation; nonrigid image registration; piecewise linear transformation; thin-plate spline transformation; transformation functions; weighted mean transformation; Control systems; Cost function; Equations; Image fusion; Image registration; Labeling; Layout; Optimization methods; Piecewise linear techniques; Spline; Image registration; multiquadric (MQ); piecewise linear (PL); radial basis functions; thin-plate spline (TPS); transformation function; weighted-mean (WM); Algorithms; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Signal Processing, Computer-Assisted; Subtraction Technique;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2005.863114

Filename

1593658