Determination of three-dimensional object location and orientation from range images

1989 ◽  
Vol 11 (11) ◽  
pp. 1158-1167 ◽  
Author(s):  
R. Krishnapuram ◽  
D. Casasent
Keyword(s):  
Three Dimensional ◽  
Object Location ◽  
Range Images ◽  
Dimensional Object

HIGH-FREQUENCY DIFFRACTION BY A SPHERE

1961 ◽  
Vol 39 (10) ◽  
pp. 1486-1494
Author(s):  
C. L. Tang
Keyword(s):  
Plane Wave ◽  
High Frequency ◽  
Rotational Symmetry ◽  
Asymptotic Series ◽  
Three Dimensional ◽  
Shadow Region ◽  
High Frequencies ◽  
Present Procedure ◽  
Dimensional Object

A systematic procedure is given for the determination of the asymptotic series directly from the Helmholtz equation and the boundary conditions for the field in the shadow region of a sphere illuminated by a plane wave at high frequencies. The first two terms in the series for the shadow region, including the regions near the axial caustic and the boundary layer near the surface of the sphere, are explicitly evaluated. The present procedure can be generalized to any smooth convex three-dimensional object with a rotational symmetry, illuminated by a plane wave in the direction of the axis of rotational symmetry.

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