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Proposal for precise geometry parametrization of planar imaging detectors.

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Coordinate system at interaction point

In most experiments the Cartesian coordinate system is defined by the 3 mutually orthogonal right-hand-indexed axes with respect to the interaction point (IP) of the photon beam with sample:

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Tile ideal geometry

• Assume that the detector image is produced by a set of tiles (a.k.a., segment, section, 2x1, sensor, Si-pixel matrix, etc).
• Each tile has well defined by design geometry of pixels, which does not need in separate calibration.
• Pixel (x,y) center coordinate at z=0 for each tile can be defined as a look-up table in its "natural" matrix-style coordinate system.
• For example, CSPAD 2x1 tile pixel geometry is defined as:

            Image Added

• Pixel index in 2x1 memory block (185x388) is:

                         i = col + row*388

 Image Removed

     (Xmin,Ymax)      ^ Y          (Xmax,Ymax)
     (0,0)            |            (0,387)
        ------------------------------
        |             |              |
        |             |              |
        |             |              |
      --|-------------+--------------|----> X
        |             |              |
        |             |              |
        |             |              |
        ------------------------------
     (184,0)          |           (184,387)
     (Xmin,Ymin)                  (Xmax,Ymin)

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