S. Teboul et al., VARIATIONAL APPROACH FOR EDGE-PRESERVING REGULARIZATION USING COUPLEDPDES, IEEE transactions on image processing, 7(3), 1998, pp. 387-397
Citations number
39
Categorie Soggetti
Computer Science Software Graphycs Programming","Computer Science Theory & Methods","Engineering, Eletrical & Electronic","Computer Science Software Graphycs Programming","Computer Science Theory & Methods
This paper deals with edge-preserving regularization for inverse probl
ems in image processing, We first present a synthesis of the main resu
lts we have obtained in edge-preserving regularization by using a vari
ational approach, We recall the model involving regularizing functions
phi and we analyze the geometry-driven diffusion process of this mode
l in the three-dimensional (3-D) case, Then half-quadratic theorem is
used to give a very simple reconstruction algorithm, After a critical
analysis of this model, we propose another functional to minimize for
the edge-preserving reconstruction purpose, It results in solving two
coupled partial differential equations (PDE's): one processes the inte
nsity, the other the edges, We study the relationship with similar PDE
systems in particular with the functional proposed by Ambrosio-Tortor
elli [1], [2] in order to approach the Mumford-Shah functional [3] dev
eloped in the segmentation application, Experimental results on synthe
tic and real images are presented.