Metrics on Photometric and Geometric Deformable Templates
Metrics on Photometric and Geometric Deformable Templates
In this chapter the metric structure developed for geometric transformations is extended to define a metric structure on the images which they act. Defined as an orbit under the finite and infinite dimensional groups we establish the necessary properties for measuring distance in the image orbit. We extend the results from not only geometric transformation of the images but also to photometric variation in the images.
Keywords: asymptotic consistency, consistency, detectability, equivalence, fusion of information, hypothesis testing, identifiability, medical imaging registration
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