Consistent and elastic registration of histological sections using vector-spline regularization

Here we present a new image registration algorithm for the alignment of histological sections that combines the ideas of B-spline based elastic registration and consistent image registration, to allow simultaneous registration of images in two directions (direct and inverse). In principle, deformations based on B-splines are not invertible. The consistency term overcomes this limitation and allows registration of two images in a completely symmetric way. This extension of the elastic registration method simplifies the search for the optimum deformation and allows registering with no information about landmarks or deformation regularization. This approach can also be used as the first step to solve the problem of group-wise registration.

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Task Dataset Model Metric Name Metric Value Global Rank Benchmark
BIRL CIMA-10k bUnwarpJ AMrTRE 2.82 # 3
MMrTRE 3.00 # 3

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