Title
A polynomial approach for extracting the extrema of a spherical function and its application in diffusion MRI.
Abstract
•We extract the maxima of spherical functions using a novel polynomial system solver.•Spherical functions are used to represent tissue microstructure in diffusion MRI.•The polynomial solver automatically brackets all the extrema analytically.•Thus the solver misses no extrema and can achieve high precision.•The extrema are classified and the maxima segregated.
Year
DOI
Venue
2013
10.1016/j.media.2013.03.004
Medical Image Analysis
Keywords
Field
DocType
HARDI,ODF,Maxima,Tensors,Polynomials
Polynomial,Mathematical analysis,Zonal spherical function,Spherical harmonics,Symmetric tensor,Artificial intelligence,Maxima,Pattern recognition,Algorithm,Maxima and minima,Stationary point,Homogeneous polynomial,Mathematics
Journal
Volume
Issue
ISSN
17
5
1361-8415
Citations 
PageRank 
References 
4
0.40
9
Authors
4
Name
Order
Citations
PageRank
Aurobrata Ghosh120513.93
Elias P. Tsigaridas233031.01
Bernard Mourrain31074113.70
Rachid Deriche41240212.68