Title :
Hierarchical reconstruction using geometry and sinogram restoration
Author :
Prince, Jerry L. ; Willsky, Alan S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
fDate :
7/1/1993 12:00:00 AM
Abstract :
The authors describe and demonstrate a hierarchical reconstruction algorithm for use in noisy and limited-angle or sparse-angle tomography. The algorithm estimates an object´s mass, center of mass, and convex hull from the available projections, and uses this information, along with fundamental mathematical constraints, to estimate a full set of smoothed projections. The mass and center of mass estimates are made using a least squares estimator derived from the principles of consistency of the Radon transform. The convex hull estimate is produced by first estimating the positions of support lines of the object from each available projection and then estimating the overall convex hull using prior shape information. Estimating the position of two support lines from a single projection is accomplished using a generalized likelihood ratio technique for estimating jumps in linear systems. Results for simulated objects in a variety of measurement situations are shown, and several possible extensions to this work are discussed
Keywords :
geometry; image reconstruction; center of mass; convex hull; generalized likelihood ratio technique; geometry; hierarchical reconstruction algorithm; least squares estimator; limited angle tomography; linear systems; mass; mathematical constraints; measurement; noisy tomography; sinogram restoration; smoothed projections; sparse-angle tomography; Area measurement; Computed tomography; Geometry; Image reconstruction; Image restoration; Laboratories; Least squares approximation; Linear systems; Shape; Sonar;
Journal_Title :
Image Processing, IEEE Transactions on