Line-Integral Estimates and Motion Planning Using the Continuation Method

1998 ◽  
pp. 91-125 ◽  
Author(s):  
Yacine Chitour ◽  
Héctor J. Sussmann
Keyword(s):  
Motion Planning ◽  
Continuation Method ◽  
Line Integral

A linearity test for thick specimens imaged by HVEM over a 180° angular range

1991 ◽  
Vol 49 ◽  
pp. 552-553
Author(s):  
Yu Liu
Keyword(s):  
Phase Contrast ◽  
Three Dimensional ◽  
Angular Range ◽  
Two Dimensional ◽  
Back Projection ◽  
Line Integral ◽  
Exponential Law ◽  
Transmission Electron ◽  
Absorption Law ◽  
Linearity Test

The image obtained in a transmission electron microscope is the two-dimensional projection of a three-dimensional (3D) object. The 3D reconstruction of the object can be calculated from a series of projections by back-projection, but this algorithm assumes that the image is linearly related to a line integral of the object function. However, there are two kinds of contrast in electron microscopy, scattering and phase contrast, of which only the latter is linear with the optical density (OD) in the micrograph. Therefore the OD can be used as a measure of the projection only for thin specimens where phase contrast dominates the image. For thick specimens, where scattering contrast predominates, an exponential absorption law holds, and a logarithm of OD must be used. However, for large thicknesses, the simple exponential law might break down due to multiple and inelastic scattering.

Extending and evaluating the posture-based model of motion planning

2006 ◽  
Author(s):  
Jonathan Vaughan ◽  
Steven Jax ◽  
David A. Rosenbaum
Keyword(s):  
Motion Planning

Motion Planning in ROS

2012 ◽  
Author(s):  
Ioan Sucan ◽  
Sachin Chitta
Keyword(s):  
Motion Planning

New Approaches in Randomized Preprocessing for Motion Planning,

1995 ◽  
Author(s):  
Sumanta Guha ◽  
Rama D. Puvvada ◽  
Deepti Suri ◽  
Ichiro Suzuki
Keyword(s):  
Motion Planning ◽  
New Approaches
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