Abstract

In this paper we study local tomography (LT) in the motion contaminated case. It is shown that microlocally, away from some critical directions, LT is equivalent to a pseudo-differential operator of order one. LT also produces non-local artifacts that are of the same strength as useful singularities. If motion is not accurately known, singularities inside the object f being scanned spread in different directions. A single edge can become a double edge. In such a case the image of f looks cluttered. Based on this observation we propose an algorithm for motion estimation. We propose an empiric measure of image clutter, which we call edge entropy. By minimizing edge entropy we find the motion model. The algorithm is quite flexible and is used also for solving the misalignment correction problem. The results of numerical experiments on motion estimation and misalignment correction are very encouraging.

Document Type

Patent

Patent Number

US 8,611,630

Application Serial Number

13/152,997

Issue Date

12-17-2013

Current Assignee

Joint Assignment w/UCFRF: Toshiba Medical Research Institute, USA

Assignee at Issuance

Joint Assignment w/UCFRF: Toshiba Medical Research Institute, USA

College

College of Sciences

Department

Mathematics

Allowance Date

8-12-2013

Filing Date

6-3-2011

Assignee at Filing

Joint Assignment w/UCFRF: Toshiba Medical Research Institute, USA

Filing Type

Nonprovisional Application Record

Donated

no

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