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Different Registration Approaches

The entire progress of this research began with some analysis and experimentation involving various registration schemes in a single dimension. These were quite naïve implementations^7.11 and MSD performed conspicuously well to result in the best ultimate similarity, whereas other methods barely had any positive effect.

One objective function that would of course be of significant interest was that which is based on models. As anticipated, its improvements were made smaller and smaller as time progressed and for several months it failed to reach a good solution (depicted by intermittent red in the figure below).

Figure: Multiple knot-point warps show that the curve is exponential when a model-based objective function is employed.