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An algorithm for total variation minimization and applications. (English) Zbl 1366.94048
Summary: We propose an algorithm for minimizing the total variation of an image, and provide a proof of convergence. We show applications to image denoising, zooming, and the computation of the mean curvature motion of interfaces.

MSC:
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
68U10 Computing methodologies for image processing
65K10 Numerical optimization and variational techniques
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