Artículos

 

Índice de contraste morfológico basado en el análisis de los contornos y el fondo de la imagen

 

Morphological Contrast Index based on an Analysis of Contours and Image Background

 

Angélica R. Jiménez Sánchez¹, Jorge D. Mendiola Santibañez^1,2, Gilberto Herrera Ruíz¹ e Israel Santillan^1,2

 

¹ División de Investigación y Posgrado de la Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario S/N. C.P. 76010, Querétaro, México. Correo: rosariojs@uaq.mx, mendijor@uaq.mx, gherrera@uaq.mx, santilis@gmail.com

² Universidad Politécnica de Querétaro, Carretera Estatal 420 S/N, El Rosario, El Marqués, C.P. 76240, Querétaro, México.

 

Artículo recibido el 23/08/2010.
Aceptado el 16/08/2011.

 

Resumen

En este artículo se presenta un índice para cuantificar el contraste que se percibe en una imagen. El índice está basado en la ley de Weber y toma en consideración una estimación del fondo de la imagen mediante la erosión de la apertura por reconstrucción. El desempeño de la propuesta se ilustra con un conjunto de imágenes procesadas por un mapeo de contraste y se compara con dos medidas de contraste dadas en la literatura.

Palabras clave: Contraste morfológico, apertura por reconstrucción, índice de contraste, ley de Weber.

 

Abstract

In this work, a contrast index for quantifying the perceived contrast in an image is proposed. The index is based on Weber's law and takes into account background estimation through the erosion of opening by reconstruction. The performance of our proposal is illustrated with a set of images processed by contrast mapping and compared with two contrast measures given in the literature.

Keywords: Morphological contrast, opening by reconstruction, contrast index, Weber's law.

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

Referencias

1. Agaian, S.S., Panetta, K., & Grigoryan, A.M. (2001). Transform–based image enhancement algorithms with performance measure. IEEE Transactions on Image Processing, 10(3), 367–382.         [ Links ]

2. Beghdadi, A. & Negrate, A.L. (1989). Contrast enhancement technique based on local detection of edges. Computer Vision, Graphics, and Image Processing, 46(2), 162–174.         [ Links ]

3. Gordon, R. & Rangayyan, R.M. (1984). Feature enhancement of film mammograms using fixed and adaptive neighborhoods. Applied Optics, 23(4), 560564.         [ Links ]

4. Heijmans, H.J.A.M. (1994). Morphological image operators. Boston: Academic Press.         [ Links ]

5. Jain, A.K. (1989). Fundamentals of digital images processing. Englewood Cliffs, NJ: Prentice–Hall.         [ Links ]

6. Jiménez–Sánchez, A.R., Mendiola–Santibáñez, J.D., Terol–Villalobos, I.R., Herrera–Ruíz, G., Vargas–Vázquez, D., García–Escalante, J.J., & Lara–Guevara, A. (2009). Morphological background detection and enhancement of images with poor lighting. IEEE Transactions on Image Processing, 18(3), 613–623.         [ Links ]

7. Kim, J.K., Park, J.M., Song, K.S., & Park, H.W. (1997). Adaptive mammographic image enhancement using first derivative and local statistics. IEEE Transactions on Medical Imaging, 16(5), 495–502.         [ Links ]

8. Maragos, P. & Schafer, R. (1987). Morphological filters–Part II: their relations to median, order–statistic, and stack filters. IEEE Transactions on Acoustics Speech and Signal Processing, 35(8), 1170–1184.         [ Links ]

9. Meyer, F. & Serra, J. (1989). Contrasts and Activity Lattice. Signal Processing, 16(4), 303–317.         [ Links ]

10. Mendiola–Santibáñez, J.D. & Terol–Villalobos, I.R. (2002). Mapeos de contraste morfológicos sobre particiones basados en la noción de zona plana. Computación y sistemas, 6(1), 25–37.         [ Links ]

11. Mendiola–Santibáñez, J.D., Terol–Villalobos, I.R., Herrera–Ruíz, G., & Fernández–Bouzas, A. (2007). Morphological contrast measure and contrast enhancement: one application to the segmentation of brain MRI. Signal Processing, 87(9), 2125–2150.         [ Links ]

12. Morrow, W.M., Paranjape, R.B., Rangayyan, R.M., & Desautels, J.E.L. (1992). Region–based contrast enhancement of mammograms. IEEE Transactions on Medical Imaging, 11(3), 392–406.         [ Links ]

13. Peli, E. (1990). Contrast in Complex Images. Journal of the Optical Society of America A, 7(10), 2032–2040.         [ Links ]

14. Rizzi, A., Algeri, T., Medeghini, G., & Marini, D. (2004). A proposal for contrast measure in digital images. CGIV 2004–Second European Conference on Color in Graphics, Imaging and Vision, Aachen, Germany, 187–192.         [ Links ]

15. Rizzi, A., Simone, G., & Cordone, R. (2008). A modified algorithm for perceived contrast measure in digital images. 4th European Conference on Colour in Graphics, Imaging, and Vision, and 10th International Symposium on Multispectral Colour Science (CGIV 2008/MCS'08), Terrassa, Spain, 249–252.         [ Links ]

16. Rivest, J.F., Soille, P., & Beucher, S. (1992). Morphological gradients. In E. Dougherty, J. Astola, and G. Boncelet, editors, Nonlinear image processing III vol.1658 (139–150). Bellingham, Washington: SPIE.         [ Links ]

17. Serra, J. (1982). Image analysis and Mathematical Morphology. London; New York: Academic Press.         [ Links ]

18. Serra, J. (1988). Image Analysis and Mathematical Morphology vol.2. London; New York: Academic Press.         [ Links ]

19. Serra, J. (1988). Toggle mapings (Technical report N–18/88/MM). Fontainebleaiu, France: Centre de morphologie mathematique, ENSMP.         [ Links ]

20. Serra, J. (1992). Anamorphoses and function lattices. In E.R. Dougerty, (ed.), Mathematical Morphology in Image Processing (483–524), New York: Marcel Dekker.         [ Links ]

21. Serra, J.C. & Salembier, P. (1993). Connected operator and pyramids. Proceedings of SPIE vol.2030. Image Algebra and Mathematical Morphology IV, San Diego, CA., USA, 65–76.         [ Links ]

22. Salembier, P. & Serra, J. (1995). Flat zones filtering, connected operators and filters by reconstruction. IEEE Transactions on Image Processing, 4(8), 1153–1160.         [ Links ]

23. Soille, P. (2003). Morphological image analysis: principle and applications (2^nd ed.), Berlin; New York: Springer.         [ Links ]

24. Terol–Villalobos, I.R. (1996). Nonincreasing filtres using morphological gradient criteria. Optical Engineering, 35(11), 3172–3182.         [ Links ]

25. Terol–Villalobos, I.R. & Cruz–Mandujano, J.A. (1998). Contrast enhancement and image segmentation using a class of morphological nonincreasing filters. Journal of Electronic Imaging, 7(3), 641–654.         [ Links ]

26. Terol–Villalobos, I.R. (1998). Toggle mappings and some related transformations: a study of contrast enhancement. In: H.J.A.M. Heijmans, J.B.T.M. Roerdink (Eds.), Mathematical Morphology and Its Applications to Image and Signal Processing (11–18), Dordrecht; Boston: Kluwer Academic Publishers.         [ Links ]

27. Terol–Villalobos, I.R. (2004). Morphological connected contrast mappings based on top–hat criteria: a multiscale contrast approach. Optical Engineering, 43(7), 1577–1595.         [ Links ]

28. Vincent, L. (1993). Morphological grayscale reconstruction in image analysis: applications and efficient algorithms. IEEE Transactions on Image Processing, 2(2), 176–201.         [ Links ]