Compressed Sensing of Natural Video Frames

Our motivation in this project was to achieve sample image frames with a minimal number of analog measurements. Thus achieving: compression before A/D

Abstract

Our motivation in this project was to achieve sample image frames with a minimal number of analog measurements. Thus achieving: compression before A/D, Energy saving and ability to Increase camera fps performance. Assuming typical Sparseness of natural Images, reconstruct Image from samples by minimizing L1/L2 error norm in the Sparse Space.

 

Reconstruction Results

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Conclusions

  • Although Most of the image energy is concentrated in few frequency coefficients, weak coefficients are still visually very important
  • For small Block sizes (<=32×32) DCT Dictionary is better than Wavelet Dictionary
  • Empiriclly for Lena we need a ratio of 5 between the image DCT coefficients and the number of random samples
  • For compression ratio better than 2, Random samples aren’t compatible. it is better to sample low frequency DCT coefficients