Estimación del modelo de ruido de una imagen de energía local utilizando la distribución Weibull

• Autores: Tatiana Hernandez Cifuentes, Yorladys Martinez Aroca, Carlos Antonio Jacanamejoy Jamioy, Manuel Guillermo Forero Vargas
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 57, Nº. 2, 2023, págs. 207-219
• Idioma: varios idiomas
• Títulos paralelos:
  • Noise estimation of a local energy image
• Enlaces
  • Texto completo
• Resumen
  • español

    La congruencia de fase es una técnica de procesamiento de imágenes relativamente desconocida y potente para la segmentación. No obstante, una limitación de este método es su alta sensibilidad al ruido; en ese sentido, para evitar que el ruido afecte los resultados de la segmentación, es necesaria una buena estimación de su nivel, teniendo en cuenta que en la congruencia de fase, esta estimación se realiza a partir de la imagen de la energía local. Por lo tanto, con el fin de mejorar los resultados de la técnica, es indispensable realizar una buena detección del umbral de ruido. Por esta razón, en este trabajo se introduce un método eficiente para la estimación de los parámetros de una distribución Weibull, empleada para modelar el ruido de la imagen de energía de la congruencia de fase.

  • Multiple

    Phase congruency is a relatively unknown and powerful image processing technique for segmentation, which has been used in image processing. However, a limitation of this technique is its sensitivity to noise. Therefore, to prevent that noise affects segmentation results, it is necessary a good estimation of its level, considering that in phase congruency, this estimation is based on the local energy image. Consequently, to improve the results of this technique, it is essential to perform a good detection of the noise threshold. In this work, we introduce an efficient method to estimate parameters of a Weibull distribution which is used to modelate the noise of energy image in phase congruency.

• Referencias bibliográficas
  • I. E. Abdou and W.K. Pratt, Quantitative design and evaluation of enhancement/thresholding edge detectors, Proceedings of the IEEE 67 (1979),...
  • I Ben Ayed, Nacera Hennane, and Amar Mitiche, Unsupervised variational image segmentation/classification using a weibull observation model,...
  • J Constante, A Cuesta, and D Jijon, Fitting methods of two-parameter weibull of wind series and electric-wind potential estimation metodos...
  • Lee R Dice, Measures of the amount of ecologic association between species, Ecology 26 (1945), no. 3, 297-302.
  • Manuel G. Forero and Carlos A. Jacanamejoy, Unified mathematical formulation of monogenic phase congruency, Mathematics 9 (2021), no. 23,...
  • M Ganji, H Bevrani, N Hami Golzar, and S Zabihi, The weibull-rayleigh distribution, some properties, and applications., Journal of Mathematical...
  • Jan-Mark Geusebroek and Arnold WM Smeulders, Fragmentation in the vision of scenes, null, IEEE, 2003, p. 130.
  • Jan-Mark Geusebroek, Arnold WM Smeulders, et al., A physical explanation for natural image statistics, Proceedings of the 2nd International...
  • Carlos Jacanamejoy, Nohora Meneses-Casas, and Manuel G Forero, Image feature detection based on phase congruency by monogenic filters with...
  • Carlos A. Jacanamejoy and Manuel G. Forero, A note on the phase congruence method in image analysis, Iberoamerican Congress on Pattern Recognition,...
  • Peter Kovesi, Image features from phase congruency, Videre: Journal of computer vision research 1 (1999), no. 3, 1-26.
  • Peter Kovesi, Matlab and octave functions for computer vision and image processing, Available at http://www.peterkovesi.com/matlabfns/#phasecong,...
  • Max Mignotte, Christophe Collet, Patrick Perez, and Patrick Bouthemy, Sonar image segmentation using an unsupervised hierarchical mrf model,...
  • Douglas C Montgomery and George C Runger, Applied statistics and probability for engineers, John Wiley & Sons, 2010.
  • M Concetta Morrone and Robyn A Owens, Feature detection from local energy, Pattern recognition letters 6 (1987), no. 5, 303-313.
  • Lord Rayleigh, Xii. on the resultant of a large number of vibrations of the same pitch and of arbitrary phase, The London, Edinburgh, and...
  • H Steven Scholte, Sennay Ghebreab, Lourens Waldorp, Arnold WM Smeulders, and Victor AF Lamme, Brain responses strongly correlate with weibull...
  • Heidi M Sosik and Robert J Olson, Automated taxonomic classification of phytoplankton sampled with imaging-in-flow cytometry, Limnology and...
  • S Venkatesh and R Owens, An energy feature detection scheme, ICIP'89: IEEE International Conference on Image Processing: conference proceedings,...
  • Tjalling J Ypma, Historical development of the newton{raphson method, SIAM review 37 (1995), no. 4, 531-551.