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

Table 4

3D MSE for MR image of matrix sizes of 256 × 256 × 60, 256 × 128 × 120, and 128×256×120 for interpolations of trilinear, nearest neighbor, B-spline 3rd order, B-spline 4th order, cubic Lagrangian, quintic Lagrangian, heptic Lagrangian, and windowed Sinc (compared to 3D simulated reference 2 with resolution 256×256×120).

	MSE
	Matrix size
Interpolation	256 × 256	256 × 128	128 × 256
Trilinear	0.002793	0.002820	0.002983
Nearest neighbor	0.014754	0.016352	0.016544
B-spline 3rd order	0.010866	0.013058	0.012870
B-spline 4th order	0.006383	0.007063	0.007319
Cubic Lagrange	0.004519	0.005546	0.005213
Quintic Lagrange	0.004504	0.005530	0.005195
Heptic Lagrange	0.004132	0.005524	0.005192
Windowed Sinc	0.004605	0.005660	0.005285