Self-calibrating projection equation method for implementing stereo PIV method
A self-calibration and projection technique used in the field of projection equations
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example 1
[0024] Take an ordinary camera with two cameras ( figure 1 and 2 ) based on a stereoscopic PIV-structure in which the camera can be positioned along the x-axis and aimed at the light section plane from both sides at an angle of typically 30-50°, wherein the light section plane is defined by the x-y plane with z=0. The two cameras are thus located at z=-Zcam. The principal optical axes of the cameras are coplanar and lie in a common x-y plane. Two pulsed lasers 3 generate light sections 5 at the same position with the aid of a light section optics 4 successively at short intervals, wherein two cameras record two images 6 successively at short intervals, in each image there is a laser pulse.
[0025]In this example it is assumed that a volume calibration has already been carried out independently of the actual light cross-section by, for example, simultaneous recording of a 3D calibration plate by two cameras. All internal and external image parameters relative to a coordina...
example 2
[0030] The prerequisite is the same test structure as Example 1. It is also assumed that the camera objective is angled relative to the camera plane such that the intersection / Scheimflug condition is satisfied such that all particles in the plane of the light section are in focus. Of course no pre-calibration is provided in this example, but the projection equation should be determined by the point correspondence itself. This is achieved by means of a direct approximation, in which way the missing projection parameters are determined (gefittet). Because there are many free parameters, certain assumptions must be made in order to converge to a solution. For this there are different possibilities to reduce the number of free parameters with the help of known situations:
[0031] It is assumed that, from a pre-calibration of the Scheimflug adapter performed once, it is known how the principal point (Hauptpunkt) moves as a function of the angle, or how the Scheimflug conditions ...
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