Invariant nonlinear correlation and spectral index for diatoms recognition

Claudia Fimbres-Castro; Josué Álvarez-Borrego; Mario Alonso Bueno-Ibarra

doi:10.1117/1.OE.51.4.047201

11 April 2012 Invariant nonlinear correlation and spectral index for diatoms recognition

Claudia Fimbres-Castro, Josué Álvarez-Borrego, Mario Alonso Bueno-Ibarra

Author Affiliations +

Optical Engineering, Vol. 51, Issue 4, 047201 (April 2012). https://doi.org/10.1117/1.OE.51.4.047201

Abstract

We present a nonlinear correlation methodology to recognize objects. This system is invariant to position, rotation, and scale by using vectorial signatures obtained from the target such as those from problem images. Vectorial signatures are calculated through several mathematical transformations such as scale and Fourier transform. In this application, vectorial signatures are compared using nonlinear correlations. Also, experiments were carried out in order to find the noise tolerance. The discrimination coefficient was used as a metric in performance evaluation in presence of noise. In addition, spectral index and vectorial signature index are obtained in order to recognize objects in a simpler way. This technique has low computational cost. The invariance to position, rotation, and scale digital system was tested with 21 different fossil diatoms images. The results obtained are good, and the confidence level is above 95.4%.

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Claudia Fimbres-Castro, Josué Álvarez-Borrego, and Mario Alonso Bueno-Ibarra "Invariant nonlinear correlation and spectral index for diatoms recognition," Optical Engineering 51(4), 047201 (11 April 2012). https://doi.org/10.1117/1.OE.51.4.047201

Published: 11 April 2012

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