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You might technically correct in the limited sense that this isn't a 'compressive' sensing - but it's an absolutely classical example of sparse reconstruction.
by greendestiny 12y ago
You might technically correct in the limited sense that this isn't a 'compressive' sensing - but it's an absolutely classical example of sparse reconstruction. You can resample that radon transformed image randomly and reconstruct it as a sparse fourier image. There is matlab code out there if you google around a bit.
- thwest 12y agoCompressive Sensing using the Radon transform associated with radar has extensive literature. Not sure about the OPs imager. The optimization techniques are applicable to most sparse signal reconstruction transforms. Formally you would look to show the Restricted Isometery Property. http://users.ece.gatech.edu/~justin/ECE-8823a-Spring-2011/Resources_files/RandomConvolution-final-Aug09.pdf http://users.ece.gatech.edu/~justin/ECE-8823a-Spring-2011/Re...
- greendestiny 12y agoIt's a dense sensing of the radon transform - hence its not compressive. But you can resample that lots of ways and satisfy the RIP. Reconstruction of images from sparse radon transforms is one of the early examples that helped shape the field.
- lp251 12y agoSure- admittedly, confusing "sparse reconstruction" with "compressed sensing" is a pet peeve of mine.