Experimental Results

The experiment is organized in three parts. First, we illustrate the nice mathematical properties of both the Euclidean and the affine evolutions on 2D curve evolutions. Then, we see how these important characteristics can be applied to smooth each iso-intensity level set of images. We show the flows on a retinal angiogram and have tested the evolutions on 3D MRI brain images. Finally, we demonstrate how the properties extend well to convex surfaces but fail on non-convex surfaces with the classical barbell example. All the figures and movies related to the Euclidean mean curvature deformation are presented at www.cim.mcgill.ca/$\thicksim$mdesco/mean.html. Similarly, results obtained using the affine curvature deformation are at www.cim.mcgill.ca/$\thicksim$mdesco/affine.html. It is worth opening these pages while reading this section of the report.