ITK Registration Optimization/Testing And Backward Forward Compatibility

Backward Forward Compatibility

This page describes the testing framework used for verifying the backward/forward compatibility of the optimized classes developed in this project with the standard classes currently in ITK.

Compatibility

Backward Compatibility

A modified class is backward compatible with a given version "V", when applications that used the version "V" of the class, can adopt the new modified version of the class without having to change their source code to compile it, and by arriving to identical results when using the class at run-time.

Forward Compatibility

A modified class is forward compatible with a given version "V", when interactions based on the old API of the class are safely translated to the new API of the class.

Testing

The ONLY way to tell for sure if a class is backward/forward compatible is to have a test for it.

In order to verify the backward/forward compatibility of the optimized classes a testing framework was put in place. This framework generates tests based on combinations of the following components

• Transforms
  • Translation
  • Rigid (2D/3D)
  • Affine
  • BSplineDeformable
• Metrics
  • MeanSquares
  • MutualInformation
  • MattesMutualInformation
• Interpolators
  • NearestNeighbor
  • Linear
  • BSpline

These component were mixed in their optimized and non-optimized (standard) versions, in order to create regression tests comparing the result of the non-optimized versions with the results of the optimized versions.

Since this is a combinatorial problem, the source code of the tests was generated using CMake macros, that combines the components in different ways and prepares their corresponding initializations.

The choice of optimizers was mostly driven by the Transform, according to the following table:

Transform	Optimizer
Translation	RegularStepGradientDescent
Rigid2D	RegularStepGradientDescent
Rigid3D	VersorRigid3DTransform
Affine	RegularStepGradientDescent
BSplineDeformable	LBFGSB

However, inconsistencies in the current API of some metrics and some optimizers induced the following variations

	MeanSquares	MutualInformation	MattesMutualInformation
Translation	RegularStepGradientDescent	RegularStepGradientDescent	RegularStepGradientDescent
Rigid2D	RegularStepGradientDescent	RegularStepGradientDescent	RegularStepGradientDescent
Rigid3D	VersorRigid3DTransform	VersorRigid3DTransform	VersorRigid3DTransform
Affine	RegularStepGradientDescent	RegularStepGradientDescent	RegularStepGradientDescent
BSplineDeformable	LBFGSB	RegularStepGradientDescent	LBFGSB

Issues to Probe Further

• MattesMutualInformation + Translation + NearestNeighbors fails to register in both 000 and 111, this seems to indicate a problem in the computation of derivatives when a nearest neighbor interpolator is used
• Disimilar convergence rates: In the combination of MeanSquares + Affine + Linear, the metric values per iteration of the optimizer converge about half speed in the 111 versus the 000 test. This seems to indicate a problem in the computation of derivatives. GNUplots of convergence rates have been added to the nightly tests. These plots should probably be converted to BatchMake plots.
• Butterfly effect: slight variation of a parameter changes the result of a registration: MeanSquares + Affine + BSpline interpolator, using a Step length of 1.0 the optimizer gets stuck in a point in the parametric space. See cvs log of Code/Testing/itkOptimized/CMakeLists.txt version 1.57 [1]