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Proposal for precise geometry parametrization of planar imaging detectors.

Content

Coordinate system for setup

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Coordinate system of the detector

In this note we assume (although it is not necessary for most of algorithms) that:

• the detector image is produced by a set of tiles (a.k.a., segment, section, 2x1, sensor, Si-pixel matrix, etc),
• the tiles form almost flat (x-y) surface around z=0 within precision of production technology and installation,
• the tile rotation angles in (x-y) are N*90 degrees, where N=0,1,2,or 3,
• detector local coordinate system is defined in this plane, as explained below.

These assumptions are not necessary for most of algorithms. But, in many cases it may be convenient to use small angle approximation or ignore angular misalignment for image mapping between tiles and and 2-d image array.

Tile ideal geometry

• Each tile has well defined by design geometry of pixels, which does not need in separate calibration.
• Pixel center (x,y) coordinates 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

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