Internal Performance Evaluation

In these experiments the template is deformed according a planar model with known parameters. The tracking algorithm is applied and the estimated  transformation parameters are compared to the ground truth values.

We present four different applications of the algorithm:

TTT 3 iterations using the translation samples.
AAA 3 iterations using the affine samples.
PPP 3 iterations using the planar samples.
TAP 1 iteration with translation samples, then 1 iteration with affine samples and then 1 iteration with planar samples.

For each experiment we show the following plots:

Plot 1  The norm of the corner displacements at each iteration and ground-truth
Plot 2  The error of the norm to the ground-truth value
Plot 3  The value of the image registration residue (SSD)

The plots are presented with the following convention:

ground-truth values black line, cross symbol
after first iteration blue line, triangle symbol
after second iteration green line, circle symbol
after third iteration red line, star symbol

 

We present two sets of experiments:

  1. The template is deformed with random parameters for:

    Translation

    Scaled Euclidean Deformation (translation+rotation+scale)

    Generic Planar Deformation

  2. The template is deformed with parameters monotonically increasing for:

    Horizontal Translation

    Vertical Translation

    Scale Increase (Zoom in)

    Scale Decrease (Zoom out)

    Rotation

This last set of experiments allows to perceive the range limitations of the algorithm