LidarBoost with CVX

Hello everyone:
When I try to implement the “LidarBoost” method with cvx,two problem come up:
1.)out of memory
2.)2D convolution is needed in solving minimum energy function
Does anyone have such problem?How do you overcome?

LidarBoost:http://www.mpi-inf.mpg.de/~theobalt/cvpr09_superresolution.pdf
(the key fuction is at right side of page 4)

I suggest that you ask the authors of the article. It looks like they used CVX for their work.

I would like to know if you have solved the problem, I am also struggling with it

In the paper, say that transform the problem into Second-Order-Cone-Program (SOCP) and resolves it using a generic solver…

Anyone has any idea how to solve it?