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We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions with bounded hessian, and we give an upper and a lower...
We analyze a nonlinear discrete scheme depending on second-order finite differences. This
is the two-dimensional analog of a scheme which in one dimension approximates a
free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of
the Mumford and Shah functional. In two dimension we give a compactness result showing
that the continuous problem approximating this difference scheme is still defined on
special functions...
This paper describes a compact perceptual image model intended for
morphological representation of the visual information contained in
natural images. We explain why the total variation can be a criterion
to split the information between the two main visual structures, which
are the sketch and the microtextures. We deduce a morphological decomposition
scheme, based on a segmentation where the borders of the regions correspond
to the location of the topological singularities of a topographic map.
This...
There are several ways that can be implemented in a vehicle tracking system such as recognizing a vehicle color, a shape or a vehicle plate itself. In this paper, we will concentrate ourselves on recognizing a vehicle on a highway through vehicle plate recognition. Generally, recognizing a vehicle plate for a toll-gate system or parking system is easier than recognizing a car plate for the highway system. There are many cameras installed on the highway to capture images and every camera has different...
The image's restoration is an essential step in medical imaging.
Several Filters are developped to remove noise, the most interesting
are filters who permits to denoise the image preserving semantically
important structures. One class of recent adaptive denoising methods
is the nonlinear Partial Differential Equations who knows currently a
significant success. This work deals with mathematical study for a
proposed nonlinear evolution partial differential equation for image
processing. The existence...
In this paper the problem of accurate edge detection in images of heat-emitting specimens of metals is discussed. The images are provided by the computerized system for high temperature measurements of surface properties of metals and alloys. Subpixel edge detection is applied in the system considered in order to improve the accuracy of surface tension determination. A reconstructive method for subpixel edge detection is introduced. The method uses a Gaussian function in order to reconstruct the...
The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical
variational approach without and with a regularization term in order to
smooth the contours of the classified image. Then we present the general
topological asymptotic analysis, and we finally introduce its application to
the grey-level image classification problem.
We propose a model for segmentation problems
involving an energy concentrated on the vertices of an unknown
polyhedral set, where the contours of the images to be recovered
have preferred directions and focal points.
We prove that such an energy is obtained as a Γ-limit of
functionals defined on sets with smooth boundary that
involve curvature terms of the boundary.
The minimizers of the limit functional are polygons with
edges either parallel to some prescribed directions or pointing to some
fixed...
We propose an edge adaptive digital image denoising and restoration scheme based on space dependent regularization. Traditional gradient based schemes use an edge map computed from gradients alone to drive the regularization. This may lead to the oversmoothing of the input image, and noise along edges can be amplified. To avoid these drawbacks, we make use of a multiscale descriptor given by a contextual edge detector obtained from local variances. Using a smooth transition from the computed edges,...
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