A computational Framework for generating rotation invariant features and its application in diffusion MRI

• Published in: Medical image analysis Vol. 60; p. 101597
• Main Authors: Zucchelli, Mauro, Deslauriers-Gauthier, Samuel, Deriche, Rachid
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.02.2020; Elsevier BV; Elsevier
• Subjects: Algorithms; Bioengineering; Biomarkers; Computational neuroscience; Computer Science; Connectome - methods; Diffusion; Diffusion coefficient; Diffusion Magnetic Resonance Imaging - methods; Diffusion MRI; Distribution functions; Fiber orientation; Gaunt coefficients; Humans; Image Processing, Computer-Assisted - methods; Imaging; Invariants; Life Sciences; Magnetic resonance imaging; Mathematical analysis; Medical Imaging; Microstructure; Nerve Fibers, Myelinated - ultrastructure; Rotation; Rotation invariants; Series expansion; Spherical harmonics; Rotation invariants; Biomarkers; Gaunt coefficients; Diffusion MRI; Spherical harmonics; Gaunt Coefficients; Rotation Invariants; Spherical Harmonics

•A new computational framework for the analytical generation of a complete set of algebraically independent Rotation Invariant Features (RIF) for spherical functions.•These new invariants can be linked to statistical and geometrical measures of spherical functions e.g.: the mean, the variance and th...