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A Non Linear Registration Without the Use of the Brightness Constancy Hypothesis

Image Registration is first step in analysis of the same point of the patient over some time. This work proposes a new approach to define the same anatomical point in a set of images without the intensity of the content or the constant intensity hypothesis. It considers Möbius transformation of matched points having affine and projective transformations as particular cases. The experiments consider breast infrared dynamic examination of 23 patients, each one with 20 images. They are registered in two diverse ways in a total of 874 registrations. Results are evaluated qualitatively and quantitatively. The used examinations are public available and the achieved results are even compared with other well know approach resulting 1748 registration on real images. The proposed approach improves the image matching in 92%, 92%, 81%, 85%, and 81% according to Dice, Jaccard, Superposition of Reference, False Negative and False Positive respectively.