Geometry of total variation regularized Lp-model

Authors:
Yuying Shi;Li-Lian Wang;Xue-Cheng Tai
Affiliations:
Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore and Department of Mathematics, University of Bergen, Norway
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

In this paper, the geometry and scale selection properties of the total variation (TV) regularized L^p-model are rigorously analyzed. Some intrinsic features different from the TV-L^1 model are derived and demonstrated. Numerical algorithms based on recent developed augmented Lagrangian methods are implemented and numerical results consistent with the theoretical results are provided.