Partial k-space MRI reconstruction using a modified Homodyne approach

A drawback of the conventional Homodyne approach which is originated from the communication theory, is that the reconstructed image acquired by the Magnetic Resonance Imaging (MRI) modality is blurred. Thus, a new homodyne based-approach is proposed in order to improve the quality of the MRI image. Consequently, the segmentation of boundaries of a particular organ (or any structure), a crucial step for medical diagnosis in the estimation of its size as well as the computation of various functional parameters is improved. The proposed approach is evaluated visually by segmenting the MR brain images using an active contour “snake” model as well as by subtracting the reconstructed images from the original image. Also, the evaluation is performed quantitatively using different criteria (the Performance Test and the Root Mean Square) for various percentage of the collected k-space. The proposed approach is compared with other MRI Reconstruction techniques such as the Homodyne approach, the Zero-filling approach, the POCS approach and the conjugate Synthesis approach. Consequently, its performance is much better than the indicated conventional techniques.