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Wavelets in compressive sensing 天津大学精仪学院 闫超 1014202037.

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Presentation on theme: "Wavelets in compressive sensing 天津大学精仪学院 闫超 1014202037."— Presentation transcript:

1 Wavelets in compressive sensing 天津大学精仪学院 闫超 1014202037

2 Wavelets in compressive sensing-introduction Compressive sensing (CS), compressived sensing or compressived sample Compressed sensing is a mathematical tool that creates hi-res data sets from lo-res samples. It can be used to resurrect old musical recordings, find enemy radio signals, and generate MRIs much more quickly.

3 Wavelets in compressive sensing-history History: Embryo-@2000-A PHD thesis Theory improvement-@2004- 陶哲轩, Emmanuel Candes, Donoho L1-minimization

4 Wavelets in compressive sensing-application MRI image

5 Wavelets in compressive sensing-experiments Compressive sensing of optical imaging @2008-IEEE SIGNAL PROCESSING MAGAZINE-Single-pixel imaging via compressive sampling

6 Wavelets in compressive sensing-experiments Compressive sensing of optical imaging @2008-IEEE SIGNAL PROCESSING MAGAZINE-Single-pixel imaging via compressive sampling

7 Wavelets in compressive sensing-experiments Compressive sensing of optical imaging @2012- 光学 精密工程 - 应用压缩传感理论的单像素相机成像系统

8 Wavelets in compressive sensing-experiments Compressive sensing of terahertz imaging @2008-APL-A single-pixel terahertz imaging system based on compressed sensing 32*3230%60%

9 Wavelets in compressive sensing-experiments Compressive sensing of terahertz imaging @2011- J Infrared Milli Terahz Waves -A Fast Spatial-domain Terahertz Imaging Using Block-based Compressed Sensing 30% 32*32 10% 15%20% 25% 20% 32*328*816*16

10 Wavelets in compressive sensing-experiments Compressive sensing of terahertz imaging @2008-OL-Terahertz imaging with compressed sensing and phase retrieval

11 Wavelets in compressive sensing-mathematica Theory sparse: 1. DCT (Discrete cosine transform) 2. WT (Wavelet transform)

12 Wavelets in compressive sensing-simulation DCT: 30.21739s 21.75909dB WT: 9.71886s 38.97849dB DCT: 81.32332s 22.74607dB WT: 64.06961s 25.94528dB

13 Wavelets in compressive sensing-simulation H1-PSNR-DCT vs WTH1-elapsed time-DCT vs WT Lena-PSNR-DCT vs WTLena-elapsed time-DCT vs WT

14 Wavelets in compressive sensing-simulation db8: 19.23621s 24.7816dB sym8: 18.66266s 25.8342dB coif4: 18.63087s 16.1393dB bior4.4: 19.37384s 22.4711dB rbior4.4: 19.45398s 19.9363dB

15 Wavelets in compressive sensing-simulation db4: 19.24032s 24.9472dB db8: 19.23621s 24.7816dB sym4: 18.93414s 25.7825dB sym8: 18.66266s 25.8342dB

16 Thank you


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