The application of direct integral-geometric methods for interferometric image analysis

A. A. Aliverdiev; C. Moriconi; M. A. Caponero; E. Bacchi; P. A. Fichera; G. Sagratella

doi:10.1117/12.693111

21 June 2006 The application of direct integral-geometric methods for interferometric image analysis

A. A. Aliverdiev, C. Moriconi, M. A. Caponero, E. Bacchi, P. A. Fichera, G. Sagratella

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Proceedings Volume 6345, Seventh International Conference on Vibration Measurements by Laser Techniques: Advances and Applications; 63450A (2006) https://doi.org/10.1117/12.693111
Event: Seventh International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 2006, Ancona, Italy

Abstract

Here we present our approach to apply the direct Radon transform for the analysis of interferometric images, in particular for the laser speckle velocymetry, and for the ESPI measurements. A technique for the precise velocity measurement is based on the precise calculation of the common movement of a laser speckle field. This approach allows realising a velocimeter suitable for use in extreme conditions. The latest results of our investigations are presented in this report. We also present the method of image analysis for the automatic set up of an Electronic Speckle Pattern Interferometry (ESPI). The idea of our method is to make a direct Radon-like transformation for each pixel (x₀, y₀) a 2D field of an image brightness B(x,y):, and than we calculate the rms spatial deviation by s, the maximum of which determines two values: (i) immediate max_φ(σ_s), and (ii) the corresponded angle φ((σ_s)_max). So, from 2D function B(x,y) we have two functions depended from same 2D field, but gives a clear defect location. Our investigations show a perspective of our approach. The submitted results have both methodological and applied significance for the pattern analysis.

Citation Download Citation

A. A. Aliverdiev, C. Moriconi, M. A. Caponero, E. Bacchi, P. A. Fichera, and G. Sagratella "The application of direct integral-geometric methods for interferometric image analysis", Proc. SPIE 6345, Seventh International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 63450A (21 June 2006); https://doi.org/10.1117/12.693111

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KEYWORDS

Interferometry

Image analysis

Speckle

Speckle pattern

Statistical analysis

Velocity measurements

Control systems

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