Five-step phase-shifting algorithms with unknown values of phase shift

Novák, Jiří

doi:10.1078/0030-4026-00222

Cited by 55 publications

(32 citation statements)

References 10 publications

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“…To solve for the A i (x,y) without knowing the value of the phase-shift, more equally phaseshifted images have to be acquired. As an example, a 5-step algorithm based on the acquisition of five consecutive phaseshifted images and the consequent use of Hariharan equations was proposed by Greivenkamp and Bruning (1992) and by Novak (2003). The five raw FF-OCT images are acquired as: and the tomography image is extracted through the following procedure:…”

Section: Algorithms For Signal Processing In Optical Coherence Tomogrmentioning

confidence: 99%

Optical coherence tomography: fundamental principles, instrumental designs and biomedical applications

et al. 2011

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The advances made in the last two decades in interference technologies, optical instrumentation, catheter technology, optical detectors, speed of data acquisition and processing as well as light sources have facilitated the transformation of optical coherence tomography from an optical method used mainly in research laboratories into a valuable tool applied in various areas of medicine and health sciences. This review paper highlights the place occupied by optical coherence tomography in relation to other imaging methods that are used in medical and life science areas such as ophthalmology, cardiology, dentistry and gastrointestinal endoscopy. Together with the basic principles that lay behind the imaging method itself, this review provides a summary of the functional differences between time-domain, spectral-domain and full-field optical coherence tomography, a presentation of specific methods for processing the data acquired by these systems, an introduction to the noise sources that plague the detected signal and the progress made in optical coherence tomography catheter technology over the last decade.

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Section: Algorithms For Signal Processing In Optical Coherence Tomogrmentioning

confidence: 99%

Optical coherence tomography: fundamental principles, instrumental designs and biomedical applications

et al. 2011

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“…In Novak [4], several five-step phase-shifting equations insensitive to phase shift calibration are described and a complex error analysis of these phase calculation equations is performed. The best five-step equation, Eq.…”

Section: Theory Of Phase Shifting Techniquementioning

confidence: 99%

“…There are many potential error sources which may affect the accuracy of the practical measurement, e.g. the phase shifting errors, detector nonlinearities, quantization errors, source stability, vibrations and air turbulence, and so on [4].…”

Section: Introductionmentioning

confidence: 99%

“…The phase shifting technique offers fully automatic calculation of the phase difference between two coherent wave fields that interfere in the process. There are various phase shifting equations for phase calculation that differ on the number of phase steps, on phase shift values between captured intensity frames, and on their sensitivity to the influencing factors during practical measurements [4].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New Carré Equation

Magalhães¹,

Neto²,

Magalhães³

2010

Metrology and Measurement Systems

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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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“…Phase shifting [1][2][3][4][5][6] is an effective technique for optical interferometry and has been used widely in various fields. This method provides high resolution when it is used appropriately.…”

Section: Introductionmentioning

confidence: 99%