Blind deconvolution using image priors

Need help with this, I am trying to retrieve kernel and do deconvolution without any training data. I have had success with my model if the image is sparse like few fluorescent beads in the image but when the image is dense like a biosample algorithm does not work. Literature says that it fails because I am doing joint optimization which can cause problem and suggested MAPk method Basically this method says to find a kernel k such that it has maximum number of x which can explain y, use this kernel with any non blind deconvolution algorithm and you will get result. However with this method, I