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Erschienen in: International Journal of Machine Learning and Cybernetics 5/2017

30.04.2016 | Original Article

The mean shift method of chaotic sequences in the study of compressive sensing

verfasst von: Guoming Chen, Qiang Chen, Shun Long, Weiheng Zhu

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 5/2017

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Abstract

This paper presents a novel reconstruction approach of digital image in compressive sensing by the use of mean shift of different chaotic sequence to the measurement matrix. This matrix preserves better details of the structures of the recovered images, and enables a systematic construction of the measurement matrices of it. This proposed approach provides not only visible Peak Signal to Noise Ratio improvements over state-of-the-art methods (e.g. the Gaussian random matrix method) but also better preservation of the image structures during compression, which in turn enables better visual quality in image recovery, as illustrated in our experimental results.

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Literatur
1.
Zurück zum Zitat Cheng Y (1995) Mean shift, mode seeking, and clustering, Pattern Analysis and Machine Intelligence. IEEE Trans 17(8):790–799 Cheng Y (1995) Mean shift, mode seeking, and clustering, Pattern Analysis and Machine Intelligence. IEEE Trans 17(8):790–799
2.
Zurück zum Zitat Yu-Ren L, Kuo-Liang C, Chyou-Hwa C, Guei-Yin L, Wang CH (2012) Novel mean-shift based histogram equalization using textured regions. Expert Syst Appl 39(3):2750–2758 Yu-Ren L, Kuo-Liang C, Chyou-Hwa C, Guei-Yin L, Wang CH (2012) Novel mean-shift based histogram equalization using textured regions. Expert Syst Appl 39(3):2750–2758
3.
Zurück zum Zitat Estellers V, Thiran J-P, Bresson X (2013) Enhanced Compressed Sensing Recovery With Level Set Normals. IEEE Trans Image Process 22(7):2611–2626CrossRef Estellers V, Thiran J-P, Bresson X (2013) Enhanced Compressed Sensing Recovery With Level Set Normals. IEEE Trans Image Process 22(7):2611–2626CrossRef
4.
Zurück zum Zitat Guo W, Yin W (2010) Edge CS: Edge guided compressive sensing reconstruction, Proc SPIE Visual Commun Image Process 17–23 Guo W, Yin W (2010) Edge CS: Edge guided compressive sensing reconstruction, Proc SPIE Visual Commun Image Process 17–23
5.
Zurück zum Zitat Senoussaoui M , Kenny P, Stafylakis T, Dumouchel P (2014) A Study of the cosine distance-based mean shift for telephone speech diarization, audio, speech, and language processing. IEEE/ACM Trans 22(1):217–227 Senoussaoui M , Kenny P, Stafylakis T, Dumouchel P (2014) A Study of the cosine distance-based mean shift for telephone speech diarization, audio, speech, and language processing. IEEE/ACM Trans 22(1):217–227
6.
Zurück zum Zitat Comaniciu D, Meer P (2002) Mean shift: a robust approach toward feature space analysis, Pattern Analysis and Machine Intelligence. IEEE Trans 24(5):603–619 Comaniciu D, Meer P (2002) Mean shift: a robust approach toward feature space analysis, Pattern Analysis and Machine Intelligence. IEEE Trans 24(5):603–619
7.
Zurück zum Zitat Mayer A, Greenspan H (2009) An adaptive mean-shift framework for MRI brain segmentation, medical imaging. IEEE Trans 28(8):1238–1250 Mayer A, Greenspan H (2009) An adaptive mean-shift framework for MRI brain segmentation, medical imaging. IEEE Trans 28(8):1238–1250
8.
Zurück zum Zitat Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inform Theory 52(2):489–509MathSciNetCrossRefMATH Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inform Theory 52(2):489–509MathSciNetCrossRefMATH
10.
Zurück zum Zitat Lei Y, Barbot JP, Gang Z, Hong S (2010) Compressive sensing with chaotic sequence. IEEE Signal Process Lett 17(8):731–734CrossRef Lei Y, Barbot JP, Gang Z, Hong S (2010) Compressive sensing with chaotic sequence. IEEE Signal Process Lett 17(8):731–734CrossRef
11.
Zurück zum Zitat Frunzete M, Lei Y, Barbot J, Vlad A (2011) Compressive sensing matrix designed by tent map, for secure data transmission,Signal Processing Algorithms,Architectures,Arrangements,and Applications Conference Proceedings pp 1–6 Frunzete M, Lei Y, Barbot J, Vlad A (2011) Compressive sensing matrix designed by tent map, for secure data transmission,Signal Processing Algorithms,Architectures,Arrangements,and Applications Conference Proceedings pp 1–6
12.
Zurück zum Zitat Petras I (2011) Fractional-order nonlinear systems: modeling, analysis and simulation, Nonlinear Physical Science Petras I (2011) Fractional-order nonlinear systems: modeling, analysis and simulation, Nonlinear Physical Science
13.
Zurück zum Zitat Yin W, Osher S, Darbon J, Goldfarb D (2008) Bregman iterative algorithms for compressed sensing and related problems. SIAM J Imaging Sci 1(1):143–168MathSciNetCrossRefMATH Yin W, Osher S, Darbon J, Goldfarb D (2008) Bregman iterative algorithms for compressed sensing and related problems. SIAM J Imaging Sci 1(1):143–168MathSciNetCrossRefMATH
14.
Zurück zum Zitat Osher S, Mao Y, Dong B, Yin W (2010) Fast linearized bregman iteration for compressive sensing and sparse denoising. Commun Math Sci 8(1):93–111MathSciNetCrossRefMATH Osher S, Mao Y, Dong B, Yin W (2010) Fast linearized bregman iteration for compressive sensing and sparse denoising. Commun Math Sci 8(1):93–111MathSciNetCrossRefMATH
15.
16.
Zurück zum Zitat Cai JF, Osher S, Shen Z (2009) Linearized Bregman iterations for frame-based image deblurring. SIAM J Imaging Sci 2(1):226–252MathSciNetCrossRefMATH Cai JF, Osher S, Shen Z (2009) Linearized Bregman iterations for frame-based image deblurring. SIAM J Imaging Sci 2(1):226–252MathSciNetCrossRefMATH
17.
Zurück zum Zitat Tropp JA, Gilbert AC (2007) Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit. IEEE Trans Inform Theory 53(12):4655–4666MathSciNetCrossRefMATH Tropp JA, Gilbert AC (2007) Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit. IEEE Trans Inform Theory 53(12):4655–4666MathSciNetCrossRefMATH
18.
Zurück zum Zitat Li P, Wang Q, Zuo W, Zhang L (2013) Log-euclidean kernels for sparse representation and dictionary learning, In ICCV Li P, Wang Q, Zuo W, Zhang L (2013) Log-euclidean kernels for sparse representation and dictionary learning, In ICCV
19.
Zurück zum Zitat Tian WB, Kang J, Zhang Y, Rui GS, Zhang HB (2014) Weakly matching pursuit denoising recovery for compressed sensing based on kalman filtering. ACTA Electr SINICA 42(6):1762–1767 Tian WB, Kang J, Zhang Y, Rui GS, Zhang HB (2014) Weakly matching pursuit denoising recovery for compressed sensing based on kalman filtering. ACTA Electr SINICA 42(6):1762–1767
20.
Zurück zum Zitat Thrampoulidis C, Oymak S, Hassibi B (2015) Recovering structured signals in noise: least-squares meets compressed sensing, compressed sensing and its applications, Springer International Publishing, ISBN:978-3-319-16041-2 Thrampoulidis C, Oymak S, Hassibi B (2015) Recovering structured signals in noise: least-squares meets compressed sensing, compressed sensing and its applications, Springer International Publishing, ISBN:978-3-319-16041-2
21.
Zurück zum Zitat Tan J, Ma YT, Baron D (2015) Compressive imaging via approximate message passing with image denoising. IEEE Transa Signal Process 63(8):424–428MathSciNetCrossRef Tan J, Ma YT, Baron D (2015) Compressive imaging via approximate message passing with image denoising. IEEE Transa Signal Process 63(8):424–428MathSciNetCrossRef
22.
Zurück zum Zitat Sermwuthisarn P, Gansawat D, Patanavijit V, Auethavekiat S (2015) Impulsive noise rejection method for compressed measurement signal in compressed sensing. EURASIP J Adv Signal Process pp 1–23 Sermwuthisarn P, Gansawat D, Patanavijit V, Auethavekiat S (2015) Impulsive noise rejection method for compressed measurement signal in compressed sensing. EURASIP J Adv Signal Process pp 1–23
23.
Zurück zum Zitat Lim FL, West GA, Venkatesh S (1997) Use of log polar space for foveation and feature recognition. IEEE Proceed Vision Image Signal Process pp 323–331 Lim FL, West GA, Venkatesh S (1997) Use of log polar space for foveation and feature recognition. IEEE Proceed Vision Image Signal Process pp 323–331
24.
Zurück zum Zitat Ciocoiu IB (2011) Compressed sensing meets the human visual system. Springer Berlin Heidelberg, ISBN:978-3-642-24081-2 Ciocoiu IB (2011) Compressed sensing meets the human visual system. Springer Berlin Heidelberg, ISBN:978-3-642-24081-2
Metadaten
Titel
The mean shift method of chaotic sequences in the study of compressive sensing
verfasst von
Guoming Chen
Qiang Chen
Shun Long
Weiheng Zhu
Publikationsdatum
30.04.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 5/2017
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0534-y

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