Fast Convex Optimizer for for images (compressed sensing)?

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SwishSwisher
SwishSwisher 2015-2-10
评论： SwishSwisher 2015-2-11
I have the following cost function
minimize ||x||1,
subject to
|| A(x) - b||2 < epsilon
Where A is some operator (A(x) ~= A*x, unfortunately), x is my image, and b is my measurement.
At the moment, I am using cvx to solve. This works perfectly for little "images" (32 x 32), but for any real images (128x128 or 256 x 256) it is super slow!
Does anyone know of a better solver or a better way to solve this kind of problem? I feel like there has to be a better way with all of the compressed sensing done on images these days.
Thanks so much for your help! I really appreciate your help!
Christine
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SwishSwisher
SwishSwisher 2015-2-11
Actually after more research, I found that CVX is for convenience/accuracy, not for speed and not recommended for images. It is wonderful at 32 x 32!
If only A(x) == A*x. Then I'd have so many options.

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