Abstract
Non-linear filters are generally preferred for image enhancement applications as they provide better filtering results not only by suppressing background noise but also preserving the edges. This paper introduces a new technique for enhancement of digital mammograms using a Volterra filter. The proposed Volterra filter design is obtained by truncation of Volterra series to the first non-linear terms. Truncation of Volterra series leads to a simpler and effective representation without having prior knowledge of higher order statistics. The weight indices of the proposed filter are optimally selected in a manner to provide better enhancement of lesions in the mammograms in comparison to other techniques.
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References
Pisano, E.D., Hendrick, E., et al.: Diagnostic Accuracy of Digital versus Film Mammography: Exploratory Analysis of Selected Population Subgroups in DMIST. Radiology, 376–383 (2008)
Tang, H., Zhuang, T., Wu, E.X.: Realization of Fast 2-D/3-D Image Filtering and Enhancement. IEEE Transactions on Medical Imaging 20(2), 132–140 (2001)
Jusman, Y., Isa, N.A.M.: A Proposed System for Edge Mammogram Image. In: Proc. of the 9th World Scientific and Engineering Academy and Society (WSEAS) International Conference on Applications of Electrical Engineering, pp. 117–123 (2010)
Zheng, J., Fuentes, O., Leung, M.: Super Resolution of Mammograms. In: IEEE Symposium on Computational Intelligence in Bioinformatics and Computational Biology (CIBCB), Montreal, pp. 1–7 (2010)
Al-Kindi, S.G., Al-Kindi, G.A.: Breast Sonogram and Mammogram Enhancement Using Hybrid and Repetitive Smoothing-Sharpening Technique. In: Proc. of the 1st Middle East Conference on Biomedical Engineering (MECBME), Sharjah, pp. 446–449 (2011)
Mathews, V.J., Sicuranza, G.L.: Volterra and General Volterra Related Filtering. In: IEEE Winter Workshop on Nonlinear Digital Signal Processing, pp. T_2.1–T_2.8 (1993)
Salmond, D.J., et al.: Novel Approach to Non-linear/Non-Gaussian Bayesian State Estimation. In: Proc. of the IEEE on Radar and Signal Processing, vol. 140, pp. 107–113 (1993)
Pitas, I., Venetsanopoulos, A.N.: Order Statistics in Digital Image Processing. Proc. of the IEEE 80(12), 1893–1921 (1992)
Stevenson, R., Arce, G.: Morphological Filters: Statistics and Further Syntactic Properties. IEEE Transactions on Circuits and Systems 34(11), 1292–1305 (1987)
Mathews, V.J.: Adaptive Volterra Filter. IEEE Signal Processing Magazine 8(3), 10–26 (1991)
Sicuranza, G.L.: Quadratic Filters for Signal Processing. Proc. of the IEEEÂ 80(8) (1992)
Sicuranza, G.L.: Volterra Filters for Image and Video Processing. In: Proc. of the First International Workshop on Image and Signal Processing and Analysis, Pula, pp. 15–26 (2000)
Morrow, W.M., et al.: Region Based Contrast Enhancement of Mammograms. IEEE Transactions on Medical Imaging 11, 392–406 (1992)
Suckling, J., et al.: The Mammographic Image Analysis Society Mammogram Database. In: Proc. of 2nd Int. Workshop Digital Mammography, York, U.K., pp. 375–378 (1994)
Rogowska, J., Preston, K., Shasin, D.: Evaluation of Digital Unsharp Masking and Local Contrast Stretching as Applied to Chest Radiology. IEEE Transactions on Information Technology in Biomedical Engineering 35(2), 236–251 (2009)
Pisano, E.D., et al.: Contrast Limited Adaptive Histogram Equalization Image Processing to Improve the Detection of Simulated Spiculations in Dense Mammograms. Journal of Digital Imaging 11, 193–200 (1998)
Ramponi, G.: Bi-impulse Response Design of Isotropic Quadratic Filters. Proc. of the IEEE 78(4), 665–667 (1990)
Zhou, Y., et al.: Mammogram Enhancement Using Alpha Weighted Quadratic Filter. In: Proc. of Annual International Conf. IEEE Engineering in Medicine and Biology Society, Minneapolis, Minnesota, pp. 3681–3684 (2009)
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Pandey, A., Yadav, A., Bhateja, V. (2013). Design of New Volterra Filter for Mammogram Enhancement. In: Satapathy, S., Udgata, S., Biswal, B. (eds) Proceedings of the International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA). Advances in Intelligent Systems and Computing, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35314-7_17
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DOI: https://doi.org/10.1007/978-3-642-35314-7_17
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