Sparse wars: A survey and comparative study of spherical deconvolution algorithms for diffusion MRI.
Canales-Rodríguez EJDepartment of Radiology, Centre Hospitalier Universitaire Vaudois (CHUV), Lausanne, Switzerland; Signal Processing Lab (LTS5), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland; FIDMAG Germanes Hospitalàries, Sant Boi de Llobregat, Barcelona, Spain; Mental Health Research Networking Center (CIBERSAM), Madrid, Spain. Electronic address: erick.canalesrodriguez@epfl.ch.
Legarreta JHDepartamento de Física Matemática y Fluidos, Facultad de Ciencias, Universidad Nacional de Educación a Distancia (UNED), Madrid, Spain.
Alemán-Gómez YCenter for Psychiatric Neuroscience, Department of Psychiatry, Centre Hospitalier Universitaire Vaudois (CHUV) and University of Lausanne (UNIL), Lausanne, Switzerland; Department of Radiology, Centre Hospitalier Universitaire Vaudois (CHUV), Lausanne, Switzerland; Medical Image Analysis Laboratory (MIAL), Centre d'Imagerie BioMédicale (CIBM), Lausanne, Switzerland.
Radua JFIDMAG Germanes Hospitalàries, Sant Boi de Llobregat, Barcelona, Spain; Mental Health Research Networking Center (CIBERSAM), Madrid, Spain; Centre for Psychiatric Research and Education, Department of Clinical Neuroscience, Karolinska Institutet, Stockholm, Sweden; Department of Psychosis Studies, Institute of Psychiatry, Psychology and Neuroscience, King's College London, London, UK; Institut d'Investigacions Biomediques August Pi i Sunyer (IDIBAPS), Barcelona, Spain.
Pomarol-Clotet EFIDMAG Germanes Hospitalàries, Sant Boi de Llobregat, Barcelona, Spain; Mental Health Research Networking Center (CIBERSAM), Madrid, Spain.
Salvador RFIDMAG Germanes Hospitalàries, Sant Boi de Llobregat, Barcelona, Spain; Mental Health Research Networking Center (CIBERSAM), Madrid, Spain.
Thiran JPDepartment of Radiology, Centre Hospitalier Universitaire Vaudois (CHUV), Lausanne, Switzerland; Signal Processing Lab (LTS5), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
Daducci AComputer Science Department, University of Verona, Verona, Italy.
English
Spherical deconvolution methods are widely used to estimate the brain's white-matter fiber orientations from diffusion MRI data. In this study, eight spherical deconvolution algorithms were implemented and evaluated. These included two model selection techniques based on the extended Bayesian information criterion (i.e., best subset selection and the least absolute shrinkage and selection operator), iteratively reweighted l2- and l1-norm approaches to approximate the l0-norm, sparse Bayesian learning, Cauchy deconvolution, and two accelerated Richardson-Lucy algorithms. Results from our exhaustive evaluation show that there is no single optimal method for all different fiber configurations, suggesting that further studies should be conducted to find the optimal way of combining solutions from different methods. We found l0-norm regularization algorithms to resolve more accurately fiber crossings with small inter-fiber angles. However, in voxels with very dominant fibers, algorithms promoting more sparsity are less accurate in detecting smaller fibers. In most cases, the best algorithm to reconstruct fiber crossings with two fibers did not perform optimally in voxels with one or three fibers. Therefore, simplified validation systems as employed in a number of previous studies, where only two fibers with similar volume fractions were tested, should be avoided as they provide incomplete information. Future studies proposing new reconstruction methods based on high angular resolution diffusion imaging data should validate their results by considering, at least, voxels with one, two, and three fibers, as well as voxels with dominant fibers and different diffusion anisotropies.