Tomographic Reconstruction with Spatially Varying Parameter Selection

Abstract

In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model proposed in [3] where an automated parameter selection rule for spatially varying parameter has been proposed. Their parameter selection rule, however, only applies if measured imaging data are defined in image domain, e.g. for image denoising and image deblurring problems. By introducing an auxiliary variable in their model we show here that this idea can indeed by extended to general inverse imaging problems such as tomographic reconstruction where measurements are not in image domain. We demonstrate the validity of the proposed approach and its effectiveness for computed tomography reconstruction, delivering reconstruction results that are significantly improved compared the state-of-the-art.