scholarly journals Three-dimensional object location and inversion of the magnetic polarizability tensor at a single frequency using a walk-through metal detector

2013 ◽  
Vol 24 (4) ◽  
pp. 045102 ◽  
Author(s):  
Liam A Marsh ◽  
Christos Ktistis ◽  
Ari Järvi ◽  
David W Armitage ◽  
Anthony J Peyton
Keyword(s):  
Three Dimensional ◽  
Object Location ◽  
Single Frequency ◽  
Polarizability Tensor ◽  
Metal Detector ◽  
Magnetic Polarizability ◽  
Dimensional Object ◽  
And Inversion

scholarly journals RESTORATION OF THE INNER STYRUCTURE OF AN OBJECT FROM INTEGRAL DATA ON CONES

2019 ◽  
Vol 2 (3) ◽  
pp. 116-121
Author(s):  
Akbar Begmatov
Keyword(s):  
Internal Structure ◽  
Inversion Formula ◽  
Three Dimensional ◽  
Stability Estimates ◽  
Dimensional Object ◽  
And Inversion ◽  
Integral Data

We consider the problem of determining the internal structure of the three-dimensional object from integral data obtained by tomografic scanning using a cone scheme over a family of right circular cones. Stability estimates are proven and inversion formula is obtained.

Reconstruction of Objects from their Projections Using Orthogonal Functions

1973 ◽  
Vol 31 ◽  
pp. 268-269
Author(s):  
Elrnar Zeitler
Keyword(s):  
Unit Area ◽  
Three Dimensional ◽  
One Dimension ◽  
Spatial Density ◽  
Dimensional Representation ◽  
Orthogonal Functions ◽  
Object A ◽  
Plane Normal ◽  
Dimensional Object ◽  
Spatial Density Distribution

Considering any finite three-dimensional object, a “projection” is here defined as a two-dimensional representation of the object's mass per unit area on a plane normal to a given projection axis, here taken as they-axis. Since the object can be seen as being built from parallel, thin slices, the relation between object structure and its projection can be reduced by one dimension. It is assumed that an electron microscope equipped with a tilting stage records the projectionWhere the object has a spatial density distribution p(r,ϕ) within a limiting radius taken to be unity, and the stage is tilted by an angle 9 with respect to the x-axis of the recording plane.

Three-Dimensional In Vivo Kinematics of the Subtalar Joint During Dorsi-Plantarflexion and Inversion-Eversion

2009 ◽  
Vol 30 (05) ◽  
pp. 432-438 ◽  
Author(s):  
Akira Goto ◽  
Hisao Moritomo ◽  
Tomonobu Itohara ◽  
Tetsu Watanabe ◽  
Kazuomi Sugamoto
Keyword(s):  
Subtalar Joint ◽  
Three Dimensional ◽  
In Vivo Kinematics ◽  
And Inversion
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