International Journal of Biomedical Imaging / 2013 / Article / Tab 7 / Research Article
Evaluation of Interpolation Effects on Upsampling and Accuracy of Cost Functions-Based Optimized Automatic Image Registration Table 7 The CR, MI, NMI, and NCC of reference and registered images. The 3D registered images using trilinear, B-spline 3rd order, B-spline 4th order, cubic Lagrange, quintic Lagrange, heptic Lagrange, windowed Sinc interpolations, and cost functions of CR, LS, NCC, and NMI.
Registration Pixel similarity cost functions Interpolation Cost function Correlation ration Mutual information Normalized mutual information Normalized cross-correlation Trilinear Correlation Ratio 0.030921 0.572625 0.758732 0.016443 Trilinear Least square 0.030943 0.575558 0.758843 0.016472 Trilinear Normalized cross-correlation 0.030978 0.577968 0.758742 0.016498 Trilinear Normalized mutual information 0.030874 0.571644 0.758756 0.016452 B-spline 3rd Correlation ratio 0.091192 0.906945 0.789837 0.047106 B-spline 3rd Least square 0.091371 0.905995 0.790105 0.047204 B-spline 3rd Normalized cross-correlation 0.089311 0.905822 0.788936 0.046135 B-spline 3rd Normalized mutual information 0.091554 0.906234 0.789860 0.047101 B-spline 4th Correlation ratio 0.047523 0.645413 0.764792 0.026291 B-spline 4th Least square 0.047664 0.647675 0.764965 0.026334 B-spline 4th Normalized cross-correlation 0.047837 0.646529 0.764938 0.026347 B-spline 4th Normalized mutual information 0.047741 0.646291 0.764879 0.026328 Cubic Lagrange Correlation ratio 0.027451 0.557755 0.738121 0.014453 Cubic Lagrange Least square 0.027678 0.559016 0.738517 0.014556 Cubic Lagrange Normalized cross-correlation 0.027751 0.557785 0.738253 0.014558 Cubic Lagrange Normalized mutual information 0.027632 0.558993 0.734889 0.014486 Quintic Lagrange Correlation ratio 0.026226 0.533578 0.731717 0.013931 Quintic Lagrange Least square 0.026307 0.538433 0.730597 0.014006 Quintic Lagrange Normalized cross-correlation 0.026227 0.533604 0.731881 0.013986 Quintic Lagrange Normalized mutual information 0.026234 0.532218 0.731289 0.013912 Heptic Lagrange Correlation ratio 0.025983 0.537712 0.729622 0.013651 Heptic Lagrange Least square 0.026274 0.532524 0.731221 0.013767 Heptic Lagrange Normalized cross-correlation 0.026273 0.531087 0.730581 0.013741 Heptic Lagrange Normalized mutual information 0.026162 0.531199 0.730681 0.013672 Windowed Sinc Correlation ratio 0.024201 0.263132 0.720291 0.013392 Windowed Sinc Least square 0.025253 0.260997 0.720884 0.013445 Windowed Sinc Normalized cross-correlation 0.024727 0.266973 0.720306 0.013544 Windowed Sinc Normalized mutual information 0.024819 0.262372 0.730032 0.013426
