scholarly journals Tomographic reconstruction of the refractive index with hard X-rays: an efficient method based on the gradient vector-field approach

2014 ◽  
Vol 22 (5) ◽  
pp. 5216 ◽  
Author(s):  
Sergei Gasilov ◽  
Alberto Mittone ◽  
Emmanuel Brun ◽  
Alberto Bravin ◽  
Susanne Grandl ◽  
...  
Keyword(s):  
Refractive Index ◽  
Vector Field ◽  
Efficient Method ◽  
Tomographic Reconstruction ◽  
X Rays ◽  
Gradient Vector ◽  
Field Approach ◽  
Gradient Vector Field

scholarly journals Splitting theorems for Finsler manifolds of nonnegative Ricci curvature

2015 ◽  
Vol 2015 (700) ◽  
Author(s):  
Shin-ichi Ohta
Keyword(s):  
Vector Field ◽  
Ricci Curvature ◽  
Splitting Theorem ◽  
Gradient Vector ◽  
Busemann Function ◽  
Finsler Manifolds ◽  
Nonnegative Ricci Curvature ◽  
Straight Line ◽  
Weighted Ricci Curvature ◽  
Gradient Vector Field

AbstractWe investigate the structure of a Finsler manifold of nonnegative weighted Ricci curvature including a straight line, and extend the classical Cheeger–Gromoll–Lichnerowicz Splitting Theorem. Such a space admits a diffeomorphic, measure-preserving splitting in general. As for a special class of Berwald spaces, we can perform the isometric splitting in the sense that there is a one-parameter family of isometries generated from the gradient vector field of the Busemann function. A Betti number estimate is also given for Berwald spaces.

The multiresolution gradient vector field skeleton

2007 ◽  
Vol 40 (4) ◽  
pp. 1255-1269 ◽  
Author(s):  
Wooi-Boon Goh ◽  
Kai-Yun Chan
Keyword(s):  
Vector Field ◽  
Gradient Vector ◽  
Gradient Vector Field
Sign in / Sign up

Export Citation Format

Share Document