document: Reconstruction of MR images from data acquired on an arbitrary k-space trajectory using the same-image weight A sampling density compensation function denoted `` same-image -LRB- SI -RRB- weight '' is proposed to reconstruct MR images from the data acquired on an arbitrary k-space trajectory . An equation for the SI weight is established on the SI criterion and an iterative scheme is developed to find the weight . The SI weight is then used to reconstruct images from the data calculated on a random trajectory in a numerical phantom case and from the data acquired on interleaved spirals in an in vivo experiment , respectively . In addition , Pipe and Menon 's weight -LRB- MRM 1999 ; 41:179 -186 -RRB- is also used in the reconstructions to make a comparison . The images obtained with the SI weight were found to be slightly more accurate than those obtained with Pipe 's weight
doc_bio_tags: O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: sampling density compensation random trajectory numerical phantom
abstractive_keyphrases: mri image reconstruction arbitrary k-space trajectory spiral trajectory same-image weight convolution function nyquist sampling conditions iterative algorithm weighting function