Researching on wavelet BASIS for Compressive Sensing
Many image transformed domins are much more sparse than the original image itself. Wavelet is a very good one.
|The orignial image||'haar' based wavelet coeffients|
The sparsity of the wavelet 'haar' BASIS
|1% basis has been used to reconstruct||5% basis has been used to reconstruct||15% basis has been used to reconstruct||20% basis has been used to reconstruct|
Note: This example is only for demostrating the sparsity of wavelet basis. Because in the CS framework, the K-largest coeffients are not measured directly.
But in this case, it is using M-largest coeffients to reconstruct.
There is another way to construct better BASIS for CS based image reconstruction.