Local Tomography and the Motion Estimation Problem

被引:26
作者
Katsevich, A. [1 ]
Silver, M. [2 ]
Zamyatin, A. [2 ]
机构
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
[2] Toshiba Med Res Inst USA Inc, Vernon Hills, IL 60061 USA
来源
SIAM JOURNAL ON IMAGING SCIENCES | 2011年 / 4卷 / 01期
关键词
motion estimation; edge entropy; cone beam; RESPIRATORY MOTION; CORONARY-ARTERIES; RECONSTRUCTION; CT; COMPENSATION; HEART;
D O I
10.1137/100796728
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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 pseudodifferential operator of order one. LT also produces nonlocal 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 also used for solving the misalignment correction problem. The results of numerical experiments on motion estimation and misalignment correction are very encouraging.
引用
收藏
页码:200 / 219
页数:20
相关论文
共 36 条
[1]   Local cone-beam tomography image reconstruction on chords [J].
Anastasio, Mark A. ;
Zou, Yu ;
Sidky, Emil Y. ;
Pan, Xiaochuan .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2007, 24 (06) :1569-1579
[2]  
[Anonymous], 1997, Pseudo-differential operators, singularities, applications, volume 93 of Operator Theory: Advances and Applications
[3]   3D tomographic reconstruction of coronary arteries using a precomputed 4D motion field [J].
Blondel, C ;
Vaillant, R ;
Malandain, G ;
Ayache, N .
PHYSICS IN MEDICINE AND BIOLOGY, 2004, 49 (11) :2197-2208
[4]   Reconstruction of coronary arteries from a single rotational X-ray projection sequence [J].
Blondel, C ;
Malandain, G ;
Vaillant, R ;
Ayache, N .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2006, 25 (05) :653-663
[5]   Dynamic X-ray computed tomography [J].
Bonnet, S ;
Koenig, A ;
Roux, S ;
Hugonnard, P ;
Guillemaud, R ;
Grangeat, P .
PROCEEDINGS OF THE IEEE, 2003, 91 (10) :1574-1587
[6]   CEnPiT:: Helical cardiac CT reconstruction [J].
Bontus, Claas ;
Koken, Peter ;
Koehler, Thomas ;
Grass, Michael .
MEDICAL PHYSICS, 2006, 33 (08) :2792-2799
[7]   Compensation of some time dependent deformations in tomography [J].
Desbat, Laurent ;
Roux, Sebastien ;
Grangeat, Pierre .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2007, 26 (02) :261-269
[8]  
Finch D, 2003, MATH SCI R, V47, P193
[9]   Heart rate adaptive optimization of spatial and temporal resolution for electrocardiogram-gated multislice spiral CT of the heart [J].
Flohr, T ;
Ohnesorge, B .
JOURNAL OF COMPUTER ASSISTED TOMOGRAPHY, 2001, 25 (06) :907-923
[10]   Theoretical framework for a dynamic cone-beam reconstruction algorithm based on a dynamic particle model [J].
Grangeat, P ;
Koenig, A ;
Rodet, T ;
Bonnet, S .
PHYSICS IN MEDICINE AND BIOLOGY, 2002, 47 (15) :2611-2625