Editing Image registration (section)

=== Similarity measures for image registration ===

Image similarities are broadly used in [[medical imaging]]. An image [[similarity measure]] quantifies the degree of similarity between intensity patterns in two images.<ref name="AG"/> The choice of an image similarity measure depends on the modality of the images to be registered. Common examples of image similarity measures include [[cross-correlation]], [[mutual information]], sum of squared intensity differences, and ratio image uniformity. Mutual information and normalized mutual information are the most popular image similarity measures for registration of multimodality images. Cross-correlation, sum of squared intensity differences and ratio image uniformity are commonly used for registration of images in the same modality.

Many new features have been derived for cost functions based on matching methods via [[Computational anatomy|large deformations]] have emerged in the field [[Computational anatomy|Computational Anatomy]] including 
[[Computational anatomy#Measure matching: unregistered landmarks|Measure matching]] which are pointsets or landmarks without correspondence, [[Computational anatomy#Curve matching|Curve matching]] and [[Computational anatomy#Surface matching|Surface matching]] via mathematical [[Current (mathematics)|currents]] and varifolds.