/**
* 1/2 || Ax - b ||^2 + rho/2 || x - y ||^2
*
* x = (ATA + lI)^-1 b
*
* X = 1 / (pat^2 + l) B
*
*/
static void ufft_apply_pinverse(const linop_data_t* _data, float rho, complex float* dst, const complex float* src)
{
const struct ufft_data* data = CONTAINER_OF(_data, const struct ufft_data, base);
md_zsadd(DIMS, data->pat_dims, data->pat, data->pat, rho);
linop_forward(data->fft_op, DIMS, data->ksp_dims, dst, DIMS, data->ksp_dims, src);
md_zdiv2(DIMS, data->ksp_dims, data->ksp_strs, dst, data->ksp_strs, dst, data->pat_strs, data->pat);
linop_adjoint(data->fft_op, DIMS, data->ksp_dims, dst, DIMS, data->ksp_dims, dst);
md_zsadd(DIMS, data->pat_dims, data->pat, data->pat, -rho);
}
static void nufft_precond_apply(const operator_data_t* _data, unsigned int M, void* args[M])
{
assert(2 == M);
const auto data = CAST_DOWN(nufft_precond_data, _data);
complex float* dst = args[0];
const complex float* src = args[1];
linop_forward(data->fft_op, data->N, data->cim_dims, dst, data->N, data->cim_dims, src);
md_zdiv2(data->N, data->cim_dims, data->cim_strs, dst, data->cim_strs, dst, data->pre_strs, data->pre);
linop_adjoint(data->fft_op, data->N, data->cim_dims, dst, data->N, data->cim_dims, dst);
}
int main_nlinv(int argc, char* argv[])
{
int iter = 8;
float l1 = -1.;
bool waterfat = false;
bool rvc = false;
bool normalize = true;
float restrict_fov = -1.;
float csh[3] = { 0., 0., 0. };
bool usegpu = false;
const char* psf = NULL;
const struct opt_s opts[] = {
{ 'l', true, opt_float, &l1, NULL },
{ 'i', true, opt_int, &iter, NULL },
{ 'c', false, opt_set, &rvc, NULL },
{ 'N', false, opt_clear, &normalize, NULL },
{ 'f', true, opt_float, &restrict_fov, NULL },
{ 'p', true, opt_string, &psf, NULL },
{ 'g', false, opt_set, &usegpu, NULL },
};
cmdline(&argc, argv, 2, 3, usage_str, help_str, ARRAY_SIZE(opts), opts);
num_init();
assert(iter > 0);
long ksp_dims[DIMS];
complex float* kspace_data = load_cfl(argv[1], DIMS, ksp_dims);
long dims[DIMS];
md_copy_dims(DIMS, dims, ksp_dims);
if (waterfat)
dims[CSHIFT_DIM] = 2;
long img_dims[DIMS];
md_select_dims(DIMS, FFT_FLAGS|CSHIFT_FLAG, img_dims, dims);
long img_strs[DIMS];
md_calc_strides(DIMS, img_strs, img_dims, CFL_SIZE);
complex float* image = create_cfl(argv[2], DIMS, img_dims);
long msk_dims[DIMS];
md_select_dims(DIMS, FFT_FLAGS, msk_dims, dims);
long msk_strs[DIMS];
md_calc_strides(DIMS, msk_strs, msk_dims, CFL_SIZE);
complex float* mask;
complex float* norm = md_alloc(DIMS, msk_dims, CFL_SIZE);
complex float* sens;
if (4 == argc) {
sens = create_cfl(argv[3], DIMS, ksp_dims);
} else {
sens = md_alloc(DIMS, ksp_dims, CFL_SIZE);
}
complex float* pattern = NULL;
long pat_dims[DIMS];
if (NULL != psf) {
pattern = load_cfl(psf, DIMS, pat_dims);
// FIXME: check compatibility
} else {
pattern = md_alloc(DIMS, img_dims, CFL_SIZE);
estimate_pattern(DIMS, ksp_dims, COIL_DIM, pattern, kspace_data);
}
if (waterfat) {
size_t size = md_calc_size(DIMS, msk_dims);
md_copy(DIMS, msk_dims, pattern + size, pattern, CFL_SIZE);
long shift_dims[DIMS];
md_select_dims(DIMS, FFT_FLAGS, shift_dims, msk_dims);
long shift_strs[DIMS];
md_calc_strides(DIMS, shift_strs, shift_dims, CFL_SIZE);
complex float* shift = md_alloc(DIMS, shift_dims, CFL_SIZE);
unsigned int X = shift_dims[READ_DIM];
unsigned int Y = shift_dims[PHS1_DIM];
unsigned int Z = shift_dims[PHS2_DIM];
for (unsigned int x = 0; x < X; x++)
for (unsigned int y = 0; y < Y; y++)
for (unsigned int z = 0; z < Z; z++)
shift[(z * Z + y) * Y + x] = cexp(2.i * M_PI * ((csh[0] * x) / X + (csh[1] * y) / Y + (csh[2] * z) / Z));
md_zmul2(DIMS, msk_dims, msk_strs, pattern + size, msk_strs, pattern + size, shift_strs, shift);
md_free(shift);
}
#if 0
float scaling = 1. / estimate_scaling(ksp_dims, NULL, kspace_data);
#else
float scaling = 100. / md_znorm(DIMS, ksp_dims, kspace_data);
#endif
debug_printf(DP_INFO, "Scaling: %f\n", scaling);
md_zsmul(DIMS, ksp_dims, kspace_data, kspace_data, scaling);
if (-1. == restrict_fov) {
mask = md_alloc(DIMS, msk_dims, CFL_SIZE);
md_zfill(DIMS, msk_dims, mask, 1.);
} else {
float restrict_dims[DIMS] = { [0 ... DIMS - 1] = 1. };
restrict_dims[0] = restrict_fov;
restrict_dims[1] = restrict_fov;
restrict_dims[2] = restrict_fov;
mask = compute_mask(DIMS, msk_dims, restrict_dims);
}
#ifdef USE_CUDA
if (usegpu) {
complex float* kspace_gpu = md_alloc_gpu(DIMS, ksp_dims, CFL_SIZE);
md_copy(DIMS, ksp_dims, kspace_gpu, kspace_data, CFL_SIZE);
noir_recon(dims, iter, l1, image, NULL, pattern, mask, kspace_gpu, rvc, usegpu);
md_free(kspace_gpu);
md_zfill(DIMS, ksp_dims, sens, 1.);
} else
#endif
noir_recon(dims, iter, l1, image, sens, pattern, mask, kspace_data, rvc, usegpu);
if (normalize) {
md_zrss(DIMS, ksp_dims, COIL_FLAG, norm, sens);
md_zmul2(DIMS, img_dims, img_strs, image, img_strs, image, msk_strs, norm);
}
if (4 == argc) {
long strs[DIMS];
md_calc_strides(DIMS, strs, ksp_dims, CFL_SIZE);
if (norm)
md_zdiv2(DIMS, ksp_dims, strs, sens, strs, sens, img_strs, norm);
fftmod(DIMS, ksp_dims, FFT_FLAGS, sens, sens);
unmap_cfl(DIMS, ksp_dims, sens);
} else {
md_free(sens);
}
md_free(norm);
md_free(mask);
if (NULL != psf)
unmap_cfl(DIMS, pat_dims, pattern);
else
md_free(pattern);
unmap_cfl(DIMS, img_dims, image);
unmap_cfl(DIMS, ksp_dims, kspace_data);
exit(0);
}