2019/10/31 by Philippe Ciuciu, Anna Kazeykina, Ciuciu, Philippe +1
Computer Science · Engineering · Mathematics · Medicine · #Advanced MRI Techniques and Applications #Algorithm #Anisotropy #Cartesian coordinate system #Compressed sensing #Computer science #Computer vision #FOS: Computer and information sciences #Geometry #Information Theory (cs.IT) #Mathematical analysis #Mathematics #Optics #Physics #Sampling (signal processing) #Sparse and Compressive Sensing Techniques #Spiral (railway) #Ultrasound Imaging and Elastography #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1910.14513
arxiv created 2019/10/31 · openalex publication_date 2019/10/31 · arxiv updated 2019/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present note we develop some theoretical results in the theory of anisotropic compressed sensing that allow to take structured sparsity and variable density structured sampling into account. We expect that the obtained results will be useful to derive explicit expressions for optimal sampling strategies in the non-Cartesian (radial, spiral, etc.) setting in MRI.