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

Table 2

3D MSE for MR images of 64–512 for interpolations of trilinear, nearest neighbor, B-spline 3rd order, B-spline 4th order, cubic Lagrangian, quintic Lagrangian, heptic Lagrangian, and windowed Sinc.

	MSE
	Matrix size
Interpolation	64 × 64	128 × 128	256 × 256	512 × 512
Trilinear	0.22683	0.03088	0.00282	0.00024
Nearest neighbor	0.75852	0.09615	0.01295	0.00135
B-spline 3rd order	0.50714	0.06435	0.00706	0.00095
B-spline 4th order	0.32088	0.05742	0.00618	0.00075
Cubic Lagrangian	0.24283	0.04956	0.00554	0.00027
Quintic Lagrangian	0.24204	0.03286	0.00552	0.00026
Heptic Lagrangian	0.24181	0.03284	0.00549	0.00025
Windowed Sinc	0.24338	0.05123	0.00559	0.00027