id: 05674598 dt: j an: 05674598 au: Dahl, Joachim; Hansen, Per Christian; Jensen, Søren Holdt; Jensen, Tobias Lindstrøm ti: Algorithms and software for total variation image reconstruction via first-order methods. so: Numer. Algorithms 53, No. 1, 67-92 (2010). py: 2010 pu: Springer, Dordrecht la: EN cc: ut: ci: li: doi:10.1007/s11075-009-9310-3 ab: Summary: 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 {\tt Matlab} (version 7.5 or later), and we demonstrate its performance and use with examples. rv: