Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression

Cristina Juarez Landin, Magally Martinez Reyes, Anabelem Soberanes Martin, Rosa Maria Valdovinos Rosas, Jose Luis Sanchez Ramirez, Volodymyr Ponomaryov, Maria Dolores Torres Soto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

The analysis of different Wavelets including novel Wavelet families based on atomic functions are presented, especially for ultrasound (US) and mammography (MG) images compression. This way we are able to determine with what type of filters Wavelet works better in compression of such images. Key properties: Frequency response, approximation order, projection cosine, and Riesz bounds were determined and compared for the classic Wavelets W9/7 used in standard JPEG2000, Daubechies8, Symlet8, as well as for the complex Kravchenko-Rvachev Wavelets ψ(t) based on the atomic functions up(t), fup 2(t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in study of key properties. © 2011 Springer Science+Business Media, LLC.
Original languageAmerican English
Title of host publicationMedical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression
Pages497-504
Number of pages446
ISBN (Electronic)9781441970459
DOIs
StatePublished - 12 Dec 2011
EventAdvances in Experimental Medicine and Biology -
Duration: 12 Dec 2011 → …

Publication series

NameAdvances in Experimental Medicine and Biology
Volume696
ISSN (Print)0065-2598

Conference

ConferenceAdvances in Experimental Medicine and Biology
Period12/12/11 → …

Fingerprint

Medical image processing
Image compression
image processing
wavelet
compression
filter
Mammography
Frequency response
Ultrasonics
Industry
Experiments

Cite this

Landin, C. J., Reyes, M. M., Martin, A. S., Rosas, R. M. V., Ramirez, J. L. S., Ponomaryov, V., & Soto, M. D. T. (2011). Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. In Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression (pp. 497-504). (Advances in Experimental Medicine and Biology; Vol. 696). https://doi.org/10.1007/978-1-4419-7046-6_50
Landin, Cristina Juarez ; Reyes, Magally Martinez ; Martin, Anabelem Soberanes ; Rosas, Rosa Maria Valdovinos ; Ramirez, Jose Luis Sanchez ; Ponomaryov, Volodymyr ; Soto, Maria Dolores Torres. / Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. 2011. pp. 497-504 (Advances in Experimental Medicine and Biology).
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abstract = "The analysis of different Wavelets including novel Wavelet families based on atomic functions are presented, especially for ultrasound (US) and mammography (MG) images compression. This way we are able to determine with what type of filters Wavelet works better in compression of such images. Key properties: Frequency response, approximation order, projection cosine, and Riesz bounds were determined and compared for the classic Wavelets W9/7 used in standard JPEG2000, Daubechies8, Symlet8, as well as for the complex Kravchenko-Rvachev Wavelets ψ(t) based on the atomic functions up(t), fup 2(t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in study of key properties. {\circledC} 2011 Springer Science+Business Media, LLC.",
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Landin, CJ, Reyes, MM, Martin, AS, Rosas, RMV, Ramirez, JLS, Ponomaryov, V & Soto, MDT 2011, Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. in Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. Advances in Experimental Medicine and Biology, vol. 696, pp. 497-504, Advances in Experimental Medicine and Biology, 12/12/11. https://doi.org/10.1007/978-1-4419-7046-6_50

Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. / Landin, Cristina Juarez; Reyes, Magally Martinez; Martin, Anabelem Soberanes; Rosas, Rosa Maria Valdovinos; Ramirez, Jose Luis Sanchez; Ponomaryov, Volodymyr; Soto, Maria Dolores Torres.

Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. 2011. p. 497-504 (Advances in Experimental Medicine and Biology; Vol. 696).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Landin CJ, Reyes MM, Martin AS, Rosas RMV, Ramirez JLS, Ponomaryov V et al. Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. In Medical image processing using novel wavelet filters based on atomic functions: Optimal medical image compression. 2011. p. 497-504. (Advances in Experimental Medicine and Biology). https://doi.org/10.1007/978-1-4419-7046-6_50