Evaluation of Interpolation Effects on Upsampling and Accuracy of Cost Functions-Based Optimized Automatic Image Registration

Table 5

The 3D MSE and PSNR for registered image of 256×256×120 using interpolations of trilinear, B-spline 3rd order, B-spline 4th order, cubic Lagrange, quintic Lagrange, heptic Lagrangian, windowed Sinc, and cost functions of CR, LS, NCC, and NMI. The affine transformation contains 12 DOF and was implemented during registration.

Interpolation	Cost function	MSE	PSNR (dB)
Trilinear	Correlation ratio	0.023505	115.32
Trilinear	Least squares	0.023591	115.16
Trilinear	Normalized cross-correlation	0.023597	115.10
Trilinear	Normalized mutual information	0.023623	115.09
B-spline 3rd order	Correlation ratio	0.065592	106.30
B-spline 3rd order	Least squares	0.065732	106.27
B-spline 3rd order	Normalized cross-correlation	0.064311	106.34
B-spline 3rd order	Normalized mutual information	0.065588	106.31
B-spline 4th order	Correlation ratio	0.037540	111.37
B-spline 4th order	Least squares	0.037597	111.36
B-spline 4th order	Normalized cross-correlation	0.037631	111.35
B-spline 4th order	Normalized mutual information	0.037604	111.36
Cubic Lagrange	Correlation ratio	0.020723	116.35
Cubic Lagrange	Least squares	0.020887	116.28
Cubic Lagrange	Normalized cross-correlation	0.020891	116.27
Cubic Lagrange	Normalized mutual information	0.020793	116.32
Quintic Lagrange	Correlation ratio	0.019982	116.76
Quintic Lagrange	Least squares	0.020108	116.71
Quintic Lagrange	Normalized cross-correlation	0.020082	116.72
Quintic Lagrange	Normalized mutual information	0.019979	116.76
Heptic Lagrange	Correlation ratio	0.019588	116.86
Heptic Lagrange	Least squares	0.019770	116.78
Heptic Lagrange	Normalized cross-correlation	0.019736	116.79
Heptic Lagrange	Normalized mutual information	0.019639	116.83
Windowed Sinc	Correlation ratio	0.019119	117.06
Windowed Sinc	Least squares	0.019190	117.02
Windowed Sinc	Normalized cross-correlation	0.019329	116.96
Windowed Sinc	Normalized mutual information	0.019160	117.04