Abstract
The present work offers new equations for phase evaluation in
measurements. Several phase-shifting equations with an arbitrary but
constant phase-shift between captured intensity signs are proposed. The
equations are similarly derived as the so called Carré equation. The idea
is to develop a generalization of the Carré equation that is not
restricted to four images. Errors and random noise in the images cannot be
eliminated, but the uncertainty due to their effects can be reduced by
increasing the number of observations. An experimental analysis of the
errors of the technique was made, as well as a detailed analysis of errors
of the measurement. The advantages of the proposed equation are its
precision in the measures taken, speed of processing and the immunity to
noise in signs and images.
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