A comparative study of transformation functions for nonrigid image registration

被引:134
作者
Zagorchev, L [1 ]
Goshtasby, A [1 ]
机构
[1] Wright State Univ, Dept Comp Sci & Engn, Dayton, OH 45402 USA
关键词
image registration; multiquadric (MQ); piecewise linear (PL); radial basis functions; thin-plate spline (TPS); transformation function; weighted-mean (WM);
D O I
10.1109/TIP.2005.863114
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:529 / 538
页数:10
相关论文
共 59 条
[1]  
[Anonymous], 1977, Mathematical Software, DOI [DOI 10.1016/B978-0-12-587260-7.50011-X, DOI 10.1016/B978-0-12-587260-7.50011-X2]
[2]   MULTIRESOLUTION ELASTIC MATCHING [J].
BAJCSY, R ;
KOVACIC, S .
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1989, 46 (01) :1-21
[3]  
Beaudet P. R., 1978, Proceedings of the 4th International Joint Conference on Pattern Recognition, P579
[4]   Piecewise optimal triangulation for the approximation of scattered data in the plane [J].
Bertram, M ;
Barnes, JC ;
Hamann, B ;
Joy, KI ;
Pottmann, H ;
Wushour, D .
COMPUTER AIDED GEOMETRIC DESIGN, 2000, 17 (08) :767-787
[6]   HIERARCHICAL CHAMFER MATCHING - A PARAMETRIC EDGE MATCHING ALGORITHM [J].
BORGEFORS, G .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1988, 10 (06) :849-865
[7]  
BORROW HG, 1977, P JOINT C ART INT, P659
[8]   THE PARAMETER R2 IN MULTIQUADRIC INTERPOLATION [J].
CARLSON, RE ;
FOLEY, TA .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (09) :29-42
[9]   A C-2 triangular patch for the interpolation of functional scattered data [J].
Chang, LHT ;
Said, HB .
COMPUTER-AIDED DESIGN, 1997, 29 (06) :407-412
[10]   Geometric pattern matching under Euclidean motion [J].
Chew, LP ;
Goodrich, MT ;
Huttenlocher, DP ;
Kedem, K ;
Kleinberg, JM ;
Kravets, D .
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 1997, 7 (1-2) :113-124