.4 Chapter Summary

er attracts the deforming curve to the boundary, improving the detection of boundaries with large differences in their gradient. This term also partially frees the model from the need to estimate crucial parameters. Thereby, the geodesic formulation also improves previous approaches. The result is 142 CHAPTER 10. GEODESIC ACTIVE CONTOURS an active contour approach which is intrinsic (geometric) and topology independent. We also refer to the results regarding existence, uniqueness, stability, and consistency of the solution obtained by the proposed active contours. The experiments demonstrate the ability to detect several objects, as well as the ability to detect interior and exterior boundaries at the same time. The sub-pixel accuracy intrinsic to the algorithm allows to perform accurate measurements after the object is detected. Extension of the 2D curve evolution model developed in [21, 95] is not straightforward, since an extension of the Euc