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Table 2 Parameters used for B-spline registration

From: The effects of computed tomography image characteristics and knot spacing on the spatial accuracy of B-spline deformable image registration in the head and neck geometry

Cost function

Metric of the similarity measure

Advanced Mattes mutual information

Number of grey level histogram bins in each resolution level

32

Transformation

Transformation

Cubic B-spline

Knot spacing at the highest resolution levels (mm)

Same spacing for all three dimensions.

The effect of various spacings was investigated

Knot spacing schedule in resolution levels 1, 2 and 3

4, 2, and 1

Optimization

Optimizer

Adaptive Stochastic Gradient Descent

Maximum number of iterations in each resolution level

Ratio iterations between levels: 1 2 2

The effect of the number of iterations was investigated

Parameter values for determination step size a k (mm) of the optimizer for each resolution level

Same values for all three dimensions.

a = 6400, A = 50, α = 0.60

Image sampling

Spatial samples used to compute the mutual information in each iteration

Randomly off the voxel grid

Number of spatial samples in each iteration

2048

Hierarchical strategies

Number of resolutions levels

3

Fixed image pyramid

Fixed recursive

Moving image pyramid

Moving recursive

Downsampling factor for multi-resolution image data

Gaussian pyramid with factor 2

Downsampling factor for the image pyramid for each resolution level

4 (resolution 1), 2 (resolution 2), 1 (resolution 3)

For multi-grid transformation model

Knot spacing halved every resolution level