Figure 3 : Illustration of the specification of the viewing direction by two polar angles : the angle of inclination ( measured from the surface normal of the display ) and the azimuth angle, measured in the plane of the display
22.
When the system is used for physical three-space, it is customary to use positive sign for azimuth angles that are measured in the counter-clockwise sense from the reference direction on the reference plane, as seen from the zenith side of the plane.
23.
The angular coordinate ( also known as the polar angle or the azimuth angle, and usually denoted by ? or t ) denotes the ray or " polar axis " ( which is equivalent to the positive x-axis in the Cartesian coordinate plane ).
24.
In mathematics, a "'spherical coordinate system "'is a coordinate system for azimuth angle "'of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.
25.
In relativistic transformation the bremsstrahlung trajectories are forward-leaning, moving along the e-beam; if the X-ray fluence is collected from the transmission target in the forward direction and integrated over the azimuth angles, fluence could be several-hundredfold enhanced compared with the Coolidge tube.
26.
These formulae assume that the two systems have the same origin, that the spherical reference plane is the Cartesian-plane, that is inclination from the direction, and that the azimuth angles are measured from the Cartesian-axis ( so that the-axis has + 90?} } ).
27.
As a result, through the transmission X-ray target ( Figure 2.2 ), the X-ray tube could harvest a much larger fraction of X-rays by integrating the brem photons over all the azimuth angles and obtain a much brighter and uniform X-ray fluence.
28.
The angle " ? " between x-axis and the line of sight ( LOS ) is called cone angle, the angle " ? " between the x-axis and the projection of the line of sight to the ( x; y )-plane is called azimuth angle.
29.
This is an ill-chosen expression which should be avoided, because the " viewing direction " is specified by two polar angles : the angle of inclination, ? ( measured from the surface normal of the display ) and the azimuth angle, ?, measured in the plane of the display as shown in figure 3.
30.
The " viewing direction " is specified by the angle of inclination, ?, measured from the surface normal of the display ( blue vertical arrow ) while the azimuth angle, ?, is the angle that the projection of the viewing direction onto the surface of the display makes with the x-axis ( red arrow ).
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