Biomedical Engineering and Bioengineering Commons^™

Stationary Wavelet Transform For Under-Sampled Mri Reconstruction., Mohammad H Kayvanrad, A Jonathan Mcleod, John S H Baxter, Charles A Mckenzie, Terry M Peters

Robarts Imaging Publications

In addition to coil sensitivity data (parallel imaging), sparsity constraints are often used as an additional lp-penalty for under-sampled MRI reconstruction (compressed sensing). Penalizing the traditional decimated wavelet transform (DWT) coefficients, however, results in visual pseudo-Gibbs artifacts, some of which are attributed to the lack of translation invariance of the wavelet basis. We show that these artifacts can be greatly reduced by penalizing the translation-invariant stationary wavelet transform (SWT) coefficients. This holds with various additional reconstruction constraints, including coil sensitivity profiles and total variation. Additionally, SWT reconstructions result in lower error values and faster convergence compared to DWT. These concepts …