An algorithm for total variation minimization and applications. (English) Zbl 1366.94048

Chambolle, Antonin

J. Math. Imaging Vis. 20, No. 1-2, 89-97 (2004).

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

Keywords:

total variation; image reconstruction; denoising; zooming; mean curvature motion