Application of spherical harmonics derived space rotation invariant indices to the analysis of multiple sclerosis lesions' geometry by MRI

2004 ◽  
Vol 22 (6) ◽  
pp. 815-825 ◽  
Author(s):  
Daniel Goldberg-Zimring ◽  
Anat Achiron ◽  
Simon K Warfield ◽  
Charles R.G Guttmann ◽  
Haim Azhari
Keyword(s):  
Multiple Sclerosis ◽  
Spherical Harmonics ◽  
Rotation Invariant ◽  
Space Rotation

3-D surface reconstruction of multiple sclerosis lesions using spherical harmonics

2001 ◽  
Vol 46 (4) ◽  
pp. 756-766 ◽  
Author(s):  
D. Goldberg-Zimring ◽  
H. Azhari ◽  
S. Miron ◽  
A. Achiron
Keyword(s):  
Multiple Sclerosis ◽  
Surface Reconstruction ◽  
Spherical Harmonics

scholarly journals Assessment of Multiple Sclerosis Lesions with Spherical Harmonics: Comparison of MR Imaging and Pathologic Findings

Radiology ◽  
2005 ◽  
Vol 235 (3) ◽  
pp. 1036-1044 ◽  
Author(s):  
Daniel Goldberg-Zimring ◽  
Bruria Shalmon ◽  
Kelly H. Zou ◽  
Haim Azhari ◽  
Dvora Nass ◽  
...  
Keyword(s):  
Multiple Sclerosis ◽  
Mr Imaging ◽  
Spherical Harmonics ◽  
Pathologic Findings

Zonal and tesseral harmonic perturbations of an artificial satellite

1966 ◽  
Vol 25 ◽  
pp. 323-325 ◽  
Author(s):  
B. Garfinkel
Keyword(s):  
Angular Velocity ◽  
Spherical Harmonics ◽  
Artificial Satellite ◽  
Compact Form ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Secular Variations ◽  
Tesseral Harmonics

The paper extends the known solution of the Main Problem to include the effects of the higher spherical harmonics of the geopotential. The von Zeipel method is used to calculate the secular variations of orderJmand the long-periodic variations of ordersJm/J2andnJm,λ/ω. HereJmandJm,λare the coefficients of the zonal and the tesseral harmonics respectively, withJm,0=Jm, andωis the angular velocity of the Earth's rotation. With the aid of the theory of spherical harmonics the results are expressed in a most compact form.

Microglia-derived macrophages in early multiple sclerosis plaques

1996 ◽  
Vol 22 (3) ◽  
pp. 207-215 ◽  
Author(s):  
H. Li ◽  
M. L. Cuzner ◽  
J. Newcombe
Keyword(s):  
Multiple Sclerosis
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