ࡱ> GIF[ R8"bjbj8(ΐΐD RR333GGG84G+l%%%5+7+7+7+7+7+7+$^-0:[+Q3%%@%%%[++)))%l35+)%5+)),) 0G'p)!++0+):0' 1)):00$3)l%%)%%%%%[+[+u(%%%+%%%% 1%%%%%%%%%R a: f[ /g b JTN vThe l1 measure for image reconstructionsubject tomotion corrupted k-space data k-zzW pencbP-N[irSOЏR]Ockvl1Km^ bJTNCishen Zhang (Professor, Swinburne University of Technology) e 2014t^1g7e NHS9:00_Y 0W pSNt]'Yf[ 10SYef[|i 205O[ bJTQ[There are various imaging applications where the physical sensing and detecting devices scan imaged objects and perform the k-space data acquisition in the frequency domain. A typical practical application based on the k-space data acquisition and reconstruction is magnetic resonance imaging (MRI) and other practical and important applications include synthetic aperture radar (SAR) imaging, radio telescope imaging, fluorescence lifetime imaging (FLIM), digital holographic tomography and optoacoustic imaging, etc. If the imaged object is not stationary during the k-space data acquisition, it will result in motion artifacts in the reconstructed image. To reduce and remove the motion artifacts from the reconstructed image is known as the motion artifact correction problem. For reconstruction of a real valued image based on the k-space measurement data, analysis is carried out to showthat the l1 norm of the original motionless image is minimal among that of all images with motions and corrupted k-space data. This provides an insight and theoretical fundamental for applying the l1 optimization to the motion correction problem. An MRI reconstruction example is presented to show the effectiveness of the l1 optimization for motion artifact correction. Biography:Cishen Zhang ( _Ham) received the B.Eng. degree in computer engineering from Tsinghua University, China, in 1982 and the Ph.D. degree in electrical engineering from Newcastle University, Australia, in 1990.He was an Electrician with Changxindian (FebruarySeven) Locomotive Manufactory, Beijing, China, during 19701978, carried out research on control systems at Delft University of Technology, the Netherlands, during 19831985, was with the Department of Electrical and Electronic Engineering, the University of Melbourne, Australia, as a Lecturer, Senior Lecturer, and Associate Professor and Reader from 1989 to2002, and with the School of Electrical and Electronic Engineering and School of Chemical and Biomedical Engineering, Nanyang Technological University,  "$&024쵦rcVcDDD"h.yqh.yq5CJOJQJaJo(h.yq5CJOJQJaJh.yq5CJOJQJaJo("h.yqh.yq5CJH*OJQJaJh.yqh.yq5CJOJQJaJ"h:hO5CJOJQJaJo(hG5CJOJQJaJo("h:h@5CJOJQJaJo( hj 5CJ,OJQJ^JaJ,o(&h:hn5CJ,OJQJ^JaJ,o(&h:hC5CJ,OJQJ^JaJ,o( Q!S!T!V!W!Y!Z!\!]!^!gdkU$dXD2[$\$a$gdRY d\`gdRY ld4WD"`lgd.yq ldpWD"`lgd.yq dp`gd.yq $\$a$gdRY   " $ 6 8 L N ~ ʸwgUܖwF4"h:hFV5CJOJQJaJo(h@5CJOJQJaJo("h.yqhG5CJOJQJaJo(h.yqhG5CJOJQJaJh.yqh(G5CJOJQJaJh.yq5CJOJQJaJo(h.yqh.yq5CJOJQJaJ"h.yqh@5CJOJQJaJo("h:h@5CJOJQJaJo("h:h5CJOJQJaJo("h.yqh.yq5CJOJQJaJo("hRYh.yq5CJH*OJQJaJ ͻ߻ߚvdTEh_5CJOJQJaJo(h:h 5CJOJQJaJ"h:hO5CJOJQJaJo("h:hX5CJOJQJaJo("h:hFV5CJOJQJaJo("h:h@5CJOJQJaJo(hG5CJOJQJaJo("h:h 5CJOJQJaJo("h:hdc$5CJOJQJaJo(h.yq5CJOJQJaJo("h:ht5CJOJQJaJo( =>  ŰŰŰśnXC-+h.yqh.yq5B*CJOJQJaJo(ph(h.yqh.yq5B*CJOJQJaJph+hRYh!5B*CJOJQJaJo(ph(hRYh5B*CJOJQJaJph.jhGhRYB*CJOJQJUaJph(hGh.yqB*CJOJQJaJo(ph(hRYh.yqB*CJH*OJQJaJph%h.yqh.yqB*CJOJQJaJph+hRYh 5B*CJOJQJaJo(ph"hGhO5CJOJQJaJo( "HI{|   (!)!P!Q!R!T!U!W!X!Z![!""""" 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