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                              Ci=Rij·cj + Pi.

Parameters for detector position and orientation

The list of parameters, which defines detector position and orientation in the setup (lab) frame consists of vector components:

assuming ez=[ex × ey], and |ex|=|ey| =|ez|=1. 

 Alternatively, directions of the three unit vectors ex, ey, and ez of the detector frame can be defined in terms of three Euler angle rotations with respect to the setup (lab) frame:

with classic relations between (ex,ey,ez) and (alpha, beta, gamma) presentations.

Access to these parameters should should be provided at  least two methods of the calibration store object:

(P1, P2, P3, ex1, ex2, ex3, ey1, ey2, ey3) = calib.get( type, detector_name )

calib.put(type, detector_name, (P1, P2, P3, ex1, ex2, ex3, ey1, ey2, ey3))

or similar methods for Euler angles.

Coordinate system of the detector

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Suggested method for imaging detector geometry description provides simple and unambiguous way of pixel coordinate parametrization. This method utilizes all available information from optical measurement and design of the detector and tiles. All geometry parameters are extracted without fitting technique and presented by natural intuitive way.