Title :
Data redundancy and reduced-scan reconstruction in reflectivity tomography
Author :
Pan, Xiaochuan ; Zou, Yu ; Anastasio, Mark A.
Author_Institution :
Dept. of Radiol., Univ. of Chicago Med. Center, IL, USA
fDate :
7/1/2003 12:00:00 AM
Abstract :
In reflectivity tomography, conventional reconstruction approaches require that measurements be acquired at view angles that span a full angular range of 2π. It is often, however, advantageous to reduce the angular range over which measurements are acquired, in order, for example, to minimize artifacts due to movements of the imaged object. Moreover, in certain situations, it may not be experimentally possible to collect data over a 2π angular range. We investigate the problem of reconstructing images from reduced-scan data in reflectivity tomography. By exploiting symmetries in the data function of reflectivity tomography, we demonstrate heuristically that an image function can be uniquely specified by reduced-scan data that correspond to measurements taken over an angular interval (possibly disjoint) that spans at least π radians. We also identify sufficient conditions that permit for a stable reconstruction of image boundaries from reduced-scan data. Numerical results in computer-simulation studies indicate that images can be reconstructed accurately from reduced-scan data.
Keywords :
biomedical imaging; image reconstruction; nondestructive testing; tomography; angular range; biomedical imaging; data redundancy; image function; image reconstruction; nondestructive testing imaging; reduced-scan reconstruction; reflectivity tomography; Acoustic measurements; Biomedical imaging; Biomedical measurements; Computed tomography; Image reconstruction; Ionizing radiation; Pulse measurements; Reflectivity; Ultrasonic imaging; Ultrasonic variables measurement;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2003.814244