Phase scaling using characteristic polynomials

Robert Sitnik

doi:10.1117/12.561224

2 August 2004 Phase scaling using characteristic polynomials

Robert Sitnik

Proceedings Volume 5532, Interferometry XII: Applications; (2004) https://doi.org/10.1117/12.561224
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

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.

Citation Download Citation

Robert Sitnik "Phase scaling using characteristic polynomials", Proc. SPIE 5532, Interferometry XII: Applications, (2 August 2004); https://doi.org/10.1117/12.561224

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