Title of article :
Deterministic edge-preserving regularization in computed imaging
Author/Authors :
Charbonnier، نويسنده , , P.، نويسنده , , Blanc-Feraud، نويسنده , , L.، نويسنده , , Aubert، نويسنده , , G.، نويسنده , , Barlaud، نويسنده , , M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1997
Abstract :
Many image processing problems are ill posed and
must be regularized. Usually, a roughness penalty is imposed on
the solution. The difficulty is to avoid the smoothing of edges,
which are very important attributes of the image. In this paper,
we first give conditions for the design of such an edge-preserving
regularization. Under these conditions, we show that it is possible
to introduce an auxiliary variable whose role is twofold. First, it
marks the discontinuities and ensures their preservation from
smoothing. Second, it makes the criterion half-quadratic. The
optimization is then easier. We propose a deterministic strategy,
based on alternate minimizations on the image and the auxiliary
variable. This leads to the definition of an original reconstruction
algorithm, called ARTUR. Some theoretical properties of ARTUR
are discussed. Experimental results illustrate the behavior of the
algorithm. These results are shown in the field of tomography,
but this method can be applied in a large number of applications
in image processing.
Journal title :
IEEE TRANSACTIONS ON IMAGE PROCESSING
Journal title :
IEEE TRANSACTIONS ON IMAGE PROCESSING