void iter_admm(iter_conf* _conf,
const struct operator_s* normaleq_op,
const struct operator_p_s* thresh_prox,
long size, float* image, const float* image_adj,
struct iter_monitor_s* monitor)
{
const struct linop_s* eye[1] = { linop_identity_create(1, MD_DIMS(size / 2)) }; // using complex float identity operator... divide size by 2
iter2_admm(_conf, normaleq_op, 1, &thresh_prox, eye, NULL, NULL, size, image, image_adj, monitor);
linop_free(eye[0]);
}
void iter_admm(iter_conf* _conf,
const struct operator_s* normaleq_op,
const struct operator_p_s* thresh_prox,
long size, float* image, const float* image_adj,
const float* image_truth,
void* objval_data,
float (*obj_eval)(const void*, const float*))
{
const struct linop_s* eye[1] = { linop_identity_create(1, MD_DIMS(size / 2)) }; // using complex float identity operator... divide size by 2
iter2_admm(_conf, normaleq_op, 1, &thresh_prox, eye, NULL, size, image, image_adj, image_truth, objval_data, obj_eval);
linop_free(eye[0]);
}
int main_bpsense(int argc, char* argv[])
{
// -----------------------------------------------------------
// set up conf and option parser
struct bpsense_conf conf = bpsense_defaults;
struct iter_admm_conf iconf = iter_admm_defaults;
conf.iconf = &iconf;
conf.iconf->rho = 10; // more sensibile default
bool usegpu = false;
const char* psf = NULL;
const char* image_truth_fname = NULL;
bool im_truth = false;
bool use_tvnorm = false;
double start_time = timestamp();
const struct opt_s opts[] = {
OPT_FLOAT('e', &conf.eps, "eps", "data consistency error"),
OPT_FLOAT('r', &conf.lambda, "lambda", "l2 regularization parameter"),
OPT_FLOAT('u', &conf.iconf->rho, "rho", "ADMM penalty parameter"),
OPT_SET('c', &conf.rvc, "real-value constraint"),
OPT_SET('t', &use_tvnorm, "use TV norm"),
OPT_STRING('T', &image_truth_fname, "file", "compare to truth image"),
OPT_UINT('i', &conf.iconf->maxiter, "iter", "max. iterations"),
OPT_SET('g', &usegpu, "(use gpu)"),
OPT_STRING('p', &psf, "file", "point-spread function"),
};
cmdline(&argc, argv, 3, 3, usage_str, help_str, ARRAY_SIZE(opts), opts);
if (NULL != image_truth_fname)
im_truth = true;
// -----------------------------------------------------------
// load data and print some info about the recon
int N = DIMS;
long dims[N];
long dims1[N];
long img_dims[N];
long ksp_dims[N];
complex float* kspace_data = load_cfl(argv[1], N, ksp_dims);
complex float* sens_maps = load_cfl(argv[2], N, dims);
for (int i = 0; i < 4; i++) // sizes2[4] may be > 1
if (ksp_dims[i] != dims[i])
error("Dimensions of kspace and sensitivities do not match!\n");
assert(1 == ksp_dims[MAPS_DIM]);
(usegpu ? num_init_gpu : num_init)();
if (dims[MAPS_DIM] > 1)
debug_printf(DP_INFO, "%ld maps.\nESPIRiT reconstruction.\n", dims[4]);
if (conf.lambda > 0.)
debug_printf(DP_INFO, "l2 regularization: %f\n", conf.lambda);
if (use_tvnorm)
debug_printf(DP_INFO, "use Total Variation\n");
else
debug_printf(DP_INFO, "use Wavelets\n");
if (im_truth)
debug_printf(DP_INFO, "Compare to truth\n");
md_select_dims(N, ~(COIL_FLAG | MAPS_FLAG), dims1, dims);
md_select_dims(N, ~COIL_FLAG, img_dims, dims);
// -----------------------------------------------------------
// initialize sampling pattern
complex float* pattern = NULL;
long pat_dims[N];
if (NULL != psf) {
pattern = load_cfl(psf, N, pat_dims);
// FIXME: check compatibility
} else {
pattern = md_alloc(N, dims1, CFL_SIZE);
estimate_pattern(N, ksp_dims, COIL_DIM, pattern, kspace_data);
}
// -----------------------------------------------------------
// print some statistics
size_t T = md_calc_size(N, dims1);
long samples = (long)pow(md_znorm(N, dims1, pattern), 2.);
debug_printf(DP_INFO, "Size: %ld Samples: %ld Acc: %.2f\n", T, samples, (float)T/(float)samples);
// -----------------------------------------------------------
// fftmod to un-center data
fftmod(N, ksp_dims, FFT_FLAGS, kspace_data, kspace_data);
fftmod(N, dims, FFT_FLAGS, sens_maps, sens_maps);
// -----------------------------------------------------------
// apply scaling
float scaling = estimate_scaling(ksp_dims, NULL, kspace_data);
debug_printf(DP_INFO, "Scaling: %f\n", scaling);
if (scaling != 0.)
md_zsmul(N, ksp_dims, kspace_data, kspace_data, 1. / scaling);
// -----------------------------------------------------------
// create l1 prox operator and transform
long minsize[DIMS] = { [0 ... DIMS - 1] = 1 };
minsize[0] = MIN(img_dims[0], 16);
minsize[1] = MIN(img_dims[1], 16);
minsize[2] = MIN(img_dims[2], 16);
const struct linop_s* l1op = NULL;
const struct operator_p_s* l1prox = NULL;
if (use_tvnorm) {
l1op = grad_init(DIMS, img_dims, FFT_FLAGS);
l1prox = prox_thresh_create(DIMS + 1, linop_codomain(l1op)->dims, 1., 0u, usegpu);
conf.l1op_obj = l1op;
} else {
bool randshift = true;
l1op = linop_identity_create(DIMS, img_dims);
conf.l1op_obj = wavelet_create(DIMS, img_dims, FFT_FLAGS, minsize, false, usegpu);
l1prox = prox_wavethresh_create(DIMS, img_dims, FFT_FLAGS, minsize, 1., randshift, usegpu);
}
// -----------------------------------------------------------
// create image and load truth image
complex float* image = create_cfl(argv[3], N, img_dims);
md_clear(N, img_dims, image, CFL_SIZE);
long img_truth_dims[DIMS];
complex float* image_truth = NULL;
if (im_truth)
image_truth = load_cfl(image_truth_fname, DIMS, img_truth_dims);
// -----------------------------------------------------------
// call recon
if (usegpu)
#ifdef USE_CUDA
bpsense_recon_gpu(&conf, dims, image, sens_maps, dims1, pattern, l1op, l1prox, ksp_dims, kspace_data, image_truth);
#else
assert(0);
#endif
else
void opt_reg_configure(unsigned int N, const long img_dims[N], struct opt_reg_s* ropts, const struct operator_p_s* prox_ops[NUM_REGS], const struct linop_s* trafos[NUM_REGS], unsigned int llr_blk, bool randshift, bool use_gpu)
{
float lambda = ropts->lambda;
if (-1. == lambda)
lambda = 0.;
// if no penalities specified but regularization
// parameter is given, add a l2 penalty
struct reg_s* regs = ropts->regs;
if ((0 == ropts->r) && (lambda > 0.)) {
regs[0].xform = L2IMG;
regs[0].xflags = 0u;
regs[0].jflags = 0u;
regs[0].lambda = lambda;
ropts->r = 1;
}
int nr_penalties = ropts->r;
long blkdims[MAX_LEV][DIMS];
int levels;
for (int nr = 0; nr < nr_penalties; nr++) {
// fix up regularization parameter
if (-1. == regs[nr].lambda)
regs[nr].lambda = lambda;
switch (regs[nr].xform) {
case L1WAV:
debug_printf(DP_INFO, "l1-wavelet regularization: %f\n", regs[nr].lambda);
if (0 != regs[nr].jflags)
debug_printf(DP_WARN, "joint l1-wavelet thresholding not currently supported.\n");
long minsize[DIMS] = { [0 ... DIMS - 1] = 1 };
minsize[0] = MIN(img_dims[0], 16);
minsize[1] = MIN(img_dims[1], 16);
minsize[2] = MIN(img_dims[2], 16);
unsigned int wflags = 0;
for (unsigned int i = 0; i < DIMS; i++) {
if ((1 < img_dims[i]) && MD_IS_SET(regs[nr].xflags, i)) {
wflags = MD_SET(wflags, i);
minsize[i] = MIN(img_dims[i], 16);
}
}
trafos[nr] = linop_identity_create(DIMS, img_dims);
prox_ops[nr] = prox_wavelet3_thresh_create(DIMS, img_dims, wflags, minsize, regs[nr].lambda, randshift);
break;
case TV:
debug_printf(DP_INFO, "TV regularization: %f\n", regs[nr].lambda);
trafos[nr] = linop_grad_create(DIMS, img_dims, regs[nr].xflags);
prox_ops[nr] = prox_thresh_create(DIMS + 1,
linop_codomain(trafos[nr])->dims,
regs[nr].lambda, regs[nr].jflags | MD_BIT(DIMS), use_gpu);
break;
case LLR:
debug_printf(DP_INFO, "lowrank regularization: %f\n", regs[nr].lambda);
// add locally lowrank penalty
levels = llr_blkdims(blkdims, regs[nr].jflags, img_dims, llr_blk);
assert(1 == levels);
assert(levels == img_dims[LEVEL_DIM]);
for(int l = 0; l < levels; l++)
#if 0
blkdims[l][MAPS_DIM] = img_dims[MAPS_DIM];
#else
blkdims[l][MAPS_DIM] = 1;
#endif
int remove_mean = 0;
trafos[nr] = linop_identity_create(DIMS, img_dims);
prox_ops[nr] = lrthresh_create(img_dims, randshift, regs[nr].xflags, (const long (*)[DIMS])blkdims, regs[nr].lambda, false, remove_mean, use_gpu);
break;
case MLR:
#if 0
// FIXME: multiscale low rank changes the output image dimensions
// and requires the forward linear operator. This should be decoupled...
debug_printf(DP_INFO, "multi-scale lowrank regularization: %f\n", regs[nr].lambda);
levels = multilr_blkdims(blkdims, regs[nr].jflags, img_dims, 8, 1);
img_dims[LEVEL_DIM] = levels;
max_dims[LEVEL_DIM] = levels;
for(int l = 0; l < levels; l++)
blkdims[l][MAPS_DIM] = 1;
trafos[nr] = linop_identity_create(DIMS, img_dims);
prox_ops[nr] = lrthresh_create(img_dims, randshift, regs[nr].xflags, (const long (*)[DIMS])blkdims, regs[nr].lambda, false, 0, use_gpu);
const struct linop_s* decom_op = sum_create( img_dims, use_gpu );
const struct linop_s* tmp_op = forward_op;
forward_op = linop_chain(decom_op, forward_op);
linop_free(decom_op);
linop_free(tmp_op);
#else
debug_printf(DP_WARN, "multi-scale lowrank regularization not yet supported: %f\n", regs[nr].lambda);
#endif
break;
case IMAGL1:
debug_printf(DP_INFO, "l1 regularization of imaginary part: %f\n", regs[nr].lambda);
trafos[nr] = linop_rdiag_create(DIMS, img_dims, 0, &(complex float){ 1.i });
prox_ops[nr] = prox_thresh_create(DIMS, img_dims, regs[nr].lambda, regs[nr].jflags, use_gpu);
break;
case IMAGL2:
debug_printf(DP_INFO, "l2 regularization of imaginary part: %f\n", regs[nr].lambda);
trafos[nr] = linop_rdiag_create(DIMS, img_dims, 0, &(complex float){ 1.i });
prox_ops[nr] = prox_leastsquares_create(DIMS, img_dims, regs[nr].lambda, NULL);
break;
case L1IMG:
debug_printf(DP_INFO, "l1 regularization: %f\n", regs[nr].lambda);
trafos[nr] = linop_identity_create(DIMS, img_dims);
prox_ops[nr] = prox_thresh_create(DIMS, img_dims, regs[nr].lambda, regs[nr].jflags, use_gpu);
break;
case L2IMG:
debug_printf(DP_INFO, "l2 regularization: %f\n", regs[nr].lambda);
trafos[nr] = linop_identity_create(DIMS, img_dims);
prox_ops[nr] = prox_leastsquares_create(DIMS, img_dims, regs[nr].lambda, NULL);
break;
case FTL1:
debug_printf(DP_INFO, "l1 regularization of Fourier transform: %f\n", regs[nr].lambda);
trafos[nr] = linop_fft_create(DIMS, img_dims, regs[nr].xflags);
prox_ops[nr] = prox_thresh_create(DIMS, img_dims, regs[nr].lambda, regs[nr].jflags, use_gpu);
break;
}
