Volume 9, Issue 5 pp. 499-509
Full Article

Hybrid method of strain estimation in optical coherence elastography using combined sub-wavelength phase measurements and supra-pixel displacement tracking

Vladimir Y. Zaitsev

Corresponding Author

Vladimir Y. Zaitsev

Institute of Applied Physics of the Russian Academy of Sciences, 46 Uljanova St., 603950 Nizhny Novgorod, Russia

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

State University of Nizhny Novgorod, 23 Gagarina avenue, 603950 Nizhny Novgorod, Russia

Corresponding author: e-mail: [email protected]

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Alexander L. Matveyev

Alexander L. Matveyev

Institute of Applied Physics of the Russian Academy of Sciences, 46 Uljanova St., 603950 Nizhny Novgorod, Russia

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

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Lev A. Matveev

Lev A. Matveev

Institute of Applied Physics of the Russian Academy of Sciences, 46 Uljanova St., 603950 Nizhny Novgorod, Russia

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

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Grigory V. Gelikonov

Grigory V. Gelikonov

Institute of Applied Physics of the Russian Academy of Sciences, 46 Uljanova St., 603950 Nizhny Novgorod, Russia

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

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Ekaterina V. Gubarkova

Ekaterina V. Gubarkova

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

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Natalia D. Gladkova

Natalia D. Gladkova

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

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Alex Vitkin

Alex Vitkin

State Medical Academy of Nizhny Novgorod, 1 Minina Square, 10/1 Minina Square, Nizhny Novgorod, 603005 Russia

University of Toronto, Toronto, Canada

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First published: 13 November 2015
Citations: 46

Abstract

A novel hybrid method which combines sub-wavelength-scale phase measurements and pixel-scale displacement tracking for robust strain mapping in compressional optical coherence elastography is proposed. Unlike majority of OCE methods it does not rely on initial reconstruction of displacements and does not suffer from the phase-wrapping problem for super-wavelength displacements. Its robustness is enabled by direct fitting of local phase gradients obviating the necessity of phase unwrapping and error-prone numerical differentiation. Furthermore, axial displacements significantly exceeding not only the optical wavelength, but pixel scales (i.e., multiple wavelengths) can be efficiently tracked and compensated. This feature strongly reduces errors in phase-gradient estimation and ensures high robustness with respect to both additive and decorrelation noises.

figure

Illustration of exceptionally high tolerance of the proposed method to noises: contrast of only 25% in the stiffness of the layers is clearly seen in the strain map even for equal intensities of the OCT signal and additive noise (SNR = 0 dB).

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