| dc.creator | Manuel Servín Guirado | |
| dc.creator | DANIEL MALACARA HERNANDEZ | |
| dc.creator | JULIO CESAR ESTRADA RICO | |
| dc.date | 2008-06-09 | |
| dc.date.accessioned | 2023-07-21T15:15:46Z | |
| dc.date.available | 2023-07-21T15:15:46Z | |
| dc.identifier | http://cio.repositorioinstitucional.mx/jspui/handle/1002/1149 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7725911 | |
| dc.description | It is well known that having 3 temporal phase shifting (PS) interferograms we do not have many possibilities of using an algorithm with a desired frequency spectrum, detuning, and harmonic robustness. This imposes severe restrictions on the possibilities to demodulate such set of temporal interferograms. It would be nice to apply for example a 7 step PS algorithm to these 3 images in order to have more possibilities to phase demodulate them; even further, it would be even better to apply a quadrature filter having a spatial spread given by a real number to these 3 interferograms. In this paper we propose to do just that; namely we show how to demodulate a set of M-steps phase shifting images with a quadrature filter having a real-number as spatial spread. The interesting thing in this paper is to use a higher than M spread quadrature filter to demodulate our interferograms; in traditional PS interferometry one is stuck to the use of M step phase shifting formula to obtain the searched phase. Using a less than M PS formula is not interesting at all given that we would not use all the available information. The main idea behind the “squeezing” phase shifting method is to re-arrange the information of the M phase shifted fringe patterns in such a way to obtain a single carrier frequency interferogram (a spatio-temporal fringe image) and use any two dimensional quadrature filter to demodulate it. In particular we propose the use of Gabor quadrature filters with a spread given by real-numbers along the spatial coordinates. The Gabor filter may be designed in such way that we may squeeze the frequency response of the filter along any desired spatio-temporal dimension, and obtain better signal to noise demodulation ratio, and better harmonic rejection on the estimated phase. | |
| dc.format | application/pdf | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.title | Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry | |
| dc.type | info:eu-repo/semantics/article | |
