Phasorial analysis of detuning error in temporal phase shifting algorithms

Mosiño, J. F.; Servı́n, Manuel; Estrada, J. C.; Quiroga, Juan Antonio

doi:10.1364/oe.17.005618

Cited by 38 publications

(14 citation statements)

References 9 publications

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“…Equation (21) contains the well known fact that the demodulated phase ψ obtained from the analytical signal in Eq. (19) equals the desired phase φ plus a spurious signal proportional to the original fringe pattern doubling its fringe number [4,8,11]. What is new in Eq.…”

Section: Evaluation Of the Detuning Error In Psi Algorithmsmentioning

confidence: 99%

The general theory of phase shifting algorithms

Servı́n¹,

Estrada²,

Quiroga³

2009

Opt. Express

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161

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Abstract:We have been reporting several new techniques of analysis and synthesis applied to Phase Shifting Interferometry (PSI). These works are based upon the Frequency Transfer Function (FTF) and how this new tool of analysis and synthesis in PSI may be applied to obtain very general results, among them; rotational invariant spectrum; complex PSI algorithms synthesis based on simpler first and second order quadrature filters; more accurate formulae for estimating the detuning error; output-power phase noise estimation. We have made our cases exposing these aspects of PSI separately. Now in the light of a better understanding provided by our past works we present and expand in a more coherent and holistic way the general theory of PSI algorithms. We are also providing herein new material not reported before. These new results are on; a well defined way to combine PSI algorithms and recursive linear PSI algorithms to obtain resonant quadrature filters.

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Section: Evaluation Of the Detuning Error In Psi Algorithmsmentioning

confidence: 99%

The general theory of phase shifting algorithms

Servı́n¹,

Estrada²,

Quiroga³

2009

Opt. Express

Self Cite

161

View full text Add to dashboard Cite

show abstract

“…Since a phase-shifting approach is being employed to recover the 3D shape, speed of acquisition is crucial as data needs to be captured with motion in a realistic scenario. However, in our case it is almost impossible to take the five phase-shifted fringe patterns without any displacement, therefore, when recovering the phase we have detuning distortions (25). To minimize these sorts of distortions, we try to reduce the data acquisition time.…”

Section: Discussionmentioning

confidence: 99%

A compact structured light based otoscope for three dimensional imaging of the tympanic membrane

Das

Estrada

et al. 2015

SPIE Proceedings

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Abstract. Three dimensional (3D) imaging of the tympanic membrane (TM) has been carried out using a traditional otoscope equipped with a high-definition webcam, a portable projector and a telecentric optical system. The device allows us to project fringe patterns on the TM and the magnified image is processed using phase shifting algorithms to arrive at a 3D description of the TM. Obtaining a 3D image of the TM can aid in the diagnosis of ear infections such as otitis media with effusion, which is essentially fluid build-up in the middle ear. The high resolution of this device makes it possible examine a computer generated 3D profile for abnormalities in the shape of the eardrum.This adds an additional dimension to the image that can be obtained from a traditional otoscope by allowing visualization of the TM from different perspectives. In this paper, we present the design and construction of this device and details of the imaging processing for recovering the 3D profile of the subject under test. The design of the otoscope is similar to that of the traditional device making it ergonomically compatible and easy to adopt in clinical practice.

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“…This tangential touch at ω = ω 0 of filter H 2 , makes it more robust to detuning errors in a neighborhood of ω = ω 0 [3]. Then, the quadrature filter that we are looking for can be obtained as the product of these filters in the following way: Having this, to obtain the formula for our phase-shifting algorithm it is necessary to obtain the inverse Fourier transform to get:…”

Section: Tunable Phase-shifting Algorithmsmentioning

confidence: 99%

“…In standard PSI, an interferogram sequence of N interferograms is taken having a known temporal carrier. When the actual temporal frequency of the interferograms does not match with the expected carrier of the phase shifting algorithm, a phase estimation error is introduced; a detuning error [2,3]. To minimize most of this detuning error, people have proposed phase estimation techniques robust to this [2,4,5,6,7,8].…”

Section: Introductionmentioning

confidence: 99%

A self-tuning phase-shifting algorithm for interferometry

2010

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Abstract:In Phase Stepping Interferometry (PSI) an interferogram sequence having a known, and constant phase shift between the interferograms is required. Here we take the case where this constant phase shift is unknown and the only assumption is that the interferograms do have a temporal carrier. To recover the modulating phase from the interferograms, we propose a self-tuning phase-shifting algorithm. Our algorithm estimates the temporal frequency first, and then this knowledge is used to estimate the interesting modulating phase. There are several well known iterative schemes published before, but our approach has the unique advantage of being very fast. Our new temporal carrier, and phase estimator is capable of obtaining a very good approximation of their temporal carrier in a single iteration. Numerical experiments are given to show the performance of this simple yet powerful self-tuning phase shifting algorithm.

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Phasorial analysis of detuning error in temporal phase shifting algorithms

Cited by 38 publications

References 9 publications

The general theory of phase shifting algorithms

The general theory of phase shifting algorithms

A compact structured light based otoscope for three dimensional imaging of the tympanic membrane

A self-tuning phase-shifting algorithm for interferometry

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