Total variation based convex filters for medical imaging

Several variational based diffusion filters are applied to measured magnetic resonance images, and on this basis are evaluated for their suitability to medical imaging. In particular, a specific total variation based filter with a convex variational penalty function is introduced here for the enhanc...

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Bibliographic Details
Published in:Applied mathematics and computation 2003-07, Vol.139 (1), p.101-119
Main Author: Keeling, Stephen L.
Format: Article
Language:English
Subjects:
Applied sciences
Artificial intelligence
Balanced forward–backward
Calculus of variations and optimal control
Computer science
control theory
systems
Convex filters
Diffusion filtering
Edge-flat-grey
Exact sciences and technology
Mathematical analysis
Mathematics
Medical imaging
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Pattern recognition. Digital image processing. Computational geometry
Perona–Malik
Sciences and techniques of general use
Total variation
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Summary:Several variational based diffusion filters are applied to measured magnetic resonance images, and on this basis are evaluated for their suitability to medical imaging. In particular, a specific total variation based filter with a convex variational penalty function is introduced here for the enhancement of edge, flat, and grey image scales. In general, results reveal that convex total variation based filters can be implemented to perform very well to enhance the visual clarity of medical images. As a result, further support is provided to establish such methods for medical applications.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00171-6