The Topological Gradient Method: From Optimal Design to Image Processing

To initialize the process, we build a list of faces sorted by increasing external variation. The first face in the list has the lowest external variation. In fact, each face

The image segmentation methods based on Markovian as- sumption consist in optimizing a Gibbs energy function which depends on the observation field and the segmented field.. This

We prove that the associated problem in terms of vectors has a unique solution which is the corresponding approximation of the vector field dataset.. In Section 3, we give a

He has pub- lished papers in top journals and conferences, such as the Journal of Machine Learning Research, IEEE Transactions on Pattern Analysis and Machine Intelligence,

Image segmentation and inpainting, Mumford-Shah model, elliptic approximation, gradient flow, a priori estimates, finite element method, error analysis.. 1 Department of Mathematics,

The diffusion tensor used to restore an image is anisotropic on the edges, with a small diffusion coefficient on primary edges and a larger one on the secondary edges.. This

The problem here consists in extracting the cleavage facets from a fractured surface in steel (MEB image).. A rather complex combination of contrast and distance functions is used

Our approach saves computational memory and time in comparison to existing methods when used with algorithms such as those for inpainting that require patch search and matching within