SIAM Journal on Imaging Sciences http://scitation.aip.org/ SIAM Journal on Imaging Sciences Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging http://link.aip.org/link/?SII/5/90/1&agg=rss Yunmei Chen, William Hager, Feng Huang, Dzung Phan, Xiaojing Ye et al.<br/> This paper presents two fast algorithms for total variationbased image reconstruction in a magnetic resonance imaging technique known as partially parallel imaging (PPI), where the inversion matrix is large and ill-conditioned. These algorithms utilize variable splitting techniques to decouple the ... [SIAM J. Imaging Sci. 5, 90 (2012)] published Tue Jan 24, 2012. Adaptive Compressed Image Sensing Using Dictionaries http://link.aip.org/link/?SII/5/57/1&agg=rss Amir Averbuch, Shai Dekel, and Shay Deutsch<br/> In recent years, the theory of compressed sensing has emerged as an alternative for the Shannon sampling theorem, suggesting that compressible signals can be reconstructed from far fewer samples than required by the Shannon sampling theorem. In fact the theory advocates that nonadaptive, random fun ... [SIAM J. Imaging Sci. 5, 57 (2012)] published Tue Jan 24, 2012. A Variational Approach for Sharpening High Dimensional Images http://link.aip.org/link/?SII/5/150/1&agg=rss Michael Moller, Todd Wittman, Andrea L. Bertozzi, and Martin Burger<br/> Earth-observing satellites usually not only take ordinary red-green-blue images but also provide several images including the near-infrared and infrared spectrum. These images are called multispectral, for about four to seven different bands, or hyperspectral, for higher dimensional images of up to ... [SIAM J. Imaging Sci. 5, 150 (2012)] published Tue Jan 24, 2012. Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective http://link.aip.org/link/?SII/5/119/1&agg=rss Bingsheng He and Xiaoming Yuan<br/> Recently, some primal-dual algorithms have been proposed for solving a saddle-point problem, with particular applications in the area of total variation image restoration. This paper focuses on the convergence analysis of these primal-dual algorithms and shows that their involved parameters (includ ... [SIAM J. Imaging Sci. 5, 119 (2012)] published Tue Jan 24, 2012. Dictionary Learning for Noisy and Incomplete Hyperspectral Images http://link.aip.org/link/?SII/5/33/1&agg=rss Zhengming Xing, Mingyuan Zhou, Alexey Castrodad, Guillermo Sapiro, and Lawrence Carin<br/> We consider analysis of noisy and incomplete hyperspectral imagery, with the objective of removing the noise and inferring the missing data. The noise statistics may be wavelength dependent, and the fraction of data missing (at random) may be substantial, including potentially entire bands, offerin ... [SIAM J. Imaging Sci. 5, 33 (2012)] published Tue Jan 17, 2012. Image Denoising Using Mean Curvature of Image Surface http://link.aip.org/link/?SII/5/1/1&agg=rss Wei Zhu and Tony Chan<br/> We propose a new variational model for image denoising, which employs the $L^{1}$-norm of the mean curvature of the image surface $(x,f(x))$ of a given image $f:\Omega\rightarrow\mathbb{R}$. Besides eliminating noise and preserving edges of objects efficiently, our model can keep corners of objects ... [SIAM J. Imaging Sci. 5, 1 (2012)] published Tue Jan 17, 2012. MumfordShahEuler Flow with Sphere Constraint and Applications to Color Image Inpainting http://link.aip.org/link/?SII/4/1200/1&agg=rss Jonas Haehnle and Andreas Prohl<br/> Two fully discrete finite elementbased algorithms to approximate the $L^2$ gradient flow of the MumfordShahEuler functional for unit vector fields are proposed, analyzed, and compared. The first scheme uses a penalization strategy, and the second a Lagrange multiplier, to approximate and enforce th ... [SIAM J. Imaging Sci. 4, 1200 (2011)] published Thu Dec 15, 2011. Theory of Waveform-Diverse Moving-Target Spotlight Synthetic-Aperture Radar http://link.aip.org/link/?SII/4/1180/1&agg=rss Margaret Cheney and Brett Borden<br/> We develop a theory for waveform-diverse moving-target synthetic-aperture radar in the case in which a single moving antenna is used both on transmission and on reception. We assume that the targets (scattering objects) are moving linearly, but we allow an arbitrary, known flight path for the anten ... [SIAM J. Imaging Sci. 4, 1180 (2011)] published Tue Dec 13, 2011. Geometrically Guided Exemplar-Based Inpainting http://link.aip.org/link/?SII/4/1143/1&agg=rss Frederic Cao, Yann Gousseau, Simon Masnou, and Patrick Perez<br/> Exemplar-based methods have proven their efficiency for the reconstruction of missing parts in a digital image. Texture as well as local geometry are often very well restored by such methods. Some applications, however, require the ability to reconstruct nonlocal geometric features, e.g., long edge ... [SIAM J. Imaging Sci. 4, 1143 (2011)] published Thu Dec 1, 2011. Robust Video Restoration by Joint Sparse and Low Rank Matrix Approximation http://link.aip.org/link/?SII/4/1122/1&agg=rss Hui Ji, Sibin Huang, Zuowei Shen, and Yuhong Xu<br/> This paper presents a new patch-based video restoration scheme. By grouping similar patches in the spatiotemporal domain, we formulate the video restoration problem as a joint sparse and low-rank matrix approximation problem. The resulting nuclear norm and $\ell_1$ norm related minimization problem ... [SIAM J. Imaging Sci. 4, 1122 (2011)] published Tue Nov 29, 2011.