A well-balanced flow equation for noise removal and edge detection

An anisotropic nonlinear diffusion equation for image restoration is presented. The model has two terms: the diffusion term and the forcing term. The balance between these terms is made in a selective way, in which boundary points and interior points of the objects that make up the image are treated...

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Bibliographic Details
Published in:IEEE transactions on image processing 2003-07, Vol.12 (7), p.751-763
Main Authors: Barcelos, C.A.Z., Boaventura, M., Silva, E.C.
Format: Article
Language:English
Subjects:
Applied sciences
Boundaries
Computed tomography
Differential equations
Diffusion
Edge detection
Evolution
Exact sciences and technology
Filters
Image edge detection
Image processing
Image reconstruction
Information, signal and communications theory
Magnetic resonance imaging
Mathematical analysis
Mathematical models
Nonlinear equations
Optical imaging
Optimization
Partial differential equations
Pattern recognition
Signal processing
Telecommunications and information theory
X-ray imaging
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Description
Summary:An anisotropic nonlinear diffusion equation for image restoration is presented. The model has two terms: the diffusion term and the forcing term. The balance between these terms is made in a selective way, in which boundary points and interior points of the objects that make up the image are treated differently. The optimal smoothing time concept, which allows for finding the ideal stop time for the evolution of the partial differential equation is also proposed. Numerical results show the proposed model's high performance.
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2003.814242