Phase scaling using characteristic polynomials
- Robert Sitnik
In the paper a new method for scaling of phase values into (x,y,z) co-ordinates supporting methods with absolute phase determination e.g. fringe projection/Gray code techniques is presented. It is based on calculation of characteristic polynomials describing relationships between phase values and real (x,y,z) co-ordinates in measurement volume. Coefficients of these polynomials are calculated on the base of phase distribution of known calibration model. Applicability of the method described is proven by calibration of 3D shape measurement system based on unknown, commercially available projection and detection systems with unknown parameters of imaging optics and geometrical set-up. Exemplary measurement results of technical and freeform objects are presented.
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- DOI:10.1117/12.561224 Opening in a new tab
- http://dx.doi.org/10.1117/12.561224 Opening in a new tab
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- = 5; = 5.0; = 3
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