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  • equity of opposite sides
  • equity of diagonals
  • equity of tilt angles for all sides
  • tile flatness in 3-d

 

Position of tiles in the detector

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Tilt angles are projected angles of the tile sides on relevant planes. Each angle is evaluated as an averaged angle for 2 sides.

Origin of the detector local frame is arbitrary. There are few preferable options for choosing coordinate frame origin:

  • use the same coordinate system as in optical measurements,
  • apply minimal offset (translation) to optical frame in order to make all coordinates positive (see left plot below),
  • use averaged coordinate af all tiles (see right plot below),
  • use user-defined translation, for example set origin in the evaluated point of beam crossing with the detector plane. 

 

               Image Added                               Image Added

 

Summary

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.