Algorithms and software for total variation image reconstruction via first-order methods

作者：Dahl Joachim; Hansen Per Christian^*; Jensen Soren Holdt; Jensen Tobias Lindstrom

来源：Numerical Algorithms, 2010, 53(1): 67-92.

DOI：10.1007/s11075-009-9310-3

• Total variation
• Denoising
• Inpainting
• Deblurring
• First-order methods
• Matlab

This paper describes new algorithms and related software for total variation (TV) image reconstruction, more specifically: denoising, inpainting, and deblurring. The algorithms are based on one of Nesterov's first-order methods, tailored to the image processing applications in such a way that, except for the mandatory regularization parameter, the user needs not specify any parameters in the algorithms. The software is written in C with interface to Matlab (version 7.5 or later), and we demonstrate its performance and use with examples.

• 出版日期2010-1