Characterization and reduction of artifacts in limited angle tomography

被引：130

作者：

Frikel, Juergen ^{[1
,2
]}

Quinto, Eric Todd ^{[3
]}

机构：

[1] Tech Univ Munich, Zentrum Math, D-80290 Munich, Germany

[2] Helmholtz Zentrum Munchen, Inst Computat Biol, Munich, Germany

[3] Tufts Univ, Dept Math, Medford, MA 02155 USA

来源：

INVERSE PROBLEMS | 2013年 / 29卷 / 12期

基金：

美国国家科学基金会;

关键词：

X-RAY TRANSFORM; LOCAL TOMOGRAPHY; IMAGE-RECONSTRUCTION; TOMOSYNTHESIS; INVERSION; SPACE;

D O I：

10.1088/0266-5611/29/12/125007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the reconstruction problem for limited angle tomography using filtered backprojection (FBP) and lambda tomography. We use microlocal analysis to explain why the well-known streak artifacts are present at the end of the limited angular range. We explain how to mitigate the streaks and prove that our modified FBP and lambda operators are standard pseudodifferential operators, and so they do not add artifacts. We provide reconstructions to illustrate our mathematical results.

引用

页数：21

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