The STOne Transform: Multi-Resolution Image Enhancement and Compressive Video

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Tom GoldsteinRichard Baraniuk

Abstract

Compressive sensing enables the reconstruction of high-resolution signals from under-sampled data. While the compressive methods simplify data acquisition, they require the solution of difficult recovery problems to make use of the resulting measurements. This paper presents a new sensing framework that combines the advantages of both the conventional and the compressive sensing. Using the proposed sum-to-one transform, the measurements can be reconstructed instantly at the Nyquist rates at any power-of-two resolution. The same data can then be enhanced to higher resolutions using the compressive methods that leverage sparsity to beat the Nyquist limit. The availability of a fast direct reconstruction enables the compressive measurements to be processed on small embedded devices. We demonstrate this by constructing a real-time compressive video camera.

References

Jun 3, 2011·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Stanley H ChanTruong Q Nguyen
Nov 8, 2012·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·M Salman AsifJustin Romberg

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Citations

Apr 29, 2016·The Journal of Physical Chemistry Letters·Desheng ZhengSteven Baldelli
Apr 5, 2017·Applied Optics·Xin YuanShuo Pang
May 22, 2020·Accounts of Chemical Research·Syed Alamdar Shah, Steven Baldelli

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