Image reconstruction using compressed sensing..

I was going through certain papers in compressed sensing and papers claims exact reconstruction is possible through compressed sensing by acquiring only 15 or 20 percent of data from an image .The mathematics seems to be very complex.I stress the word 'acquiring'.By acquiring 15 % of data they had constructed an mri image.Seems hard to believe.If any one have an example code for this please let me know.

Thanks in advance...

[Alejandro Turpin]

I know it might be too late but I found the original l1 magic code, which is working fine to me.

https://statweb.stanford.edu/~candes/l1magic/

I hope it helps!

[Ritish Raghav]

thank you for the link.

[Abhilasha Sharma]

The code for compressive sensing given on net..it is working , but not give the recovered image properly.. Would u any one plz help me regarding this..I am also working on compressive sensing.