Tomographic reconstruction of binary fields

被引：3

作者：

Roux, Stephane ^{[1
]}

Leclerc, Hugo ^{[1
]}

Hild, Francois ^{[1
]}

机构：

[1] UniverSud Paris, Lab Mecan & Technol LMT Cachan, ENS Cachan, CNRS,UMR 8535,UPMC,PRES, F-94235 Cachan, France

来源：

2ND INTERNATIONAL WORKSHOP ON NEW COMPUTATIONAL METHODS FOR INVERSE PROBLEMS (NCMIP 2012) | 2012年 / 386卷

关键词：

D O I：

10.1088/1742-6596/386/1/012014

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A novel algorithm is proposed for reconstructing binary images from their projection along a set of different orientations. Based on a nonlinear transformation of the projection data, classical back-projection procedures can be used iteratively to converge to the sought image. A multiscale implementation allows for a faster convergence. The algorithm is tested on images up to 1 Mb definition, and an error free reconstruction is achieved with a very limited number of projection data, saving a factor of about 100 on the number of projections required for classical reconstruction algorithms.

引用

页数：4

共 4 条

[1] A network flow algorithm for reconstructing binary images from discrete x-rays [J].

Batenburg, Kees Joost .

JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2007, 27 (02) :175-191

[2] Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information [J].

Candès, EJ ;

Romberg, J ;

Tao, T .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (02) :489-509

[3]

Herman GT, 2007, APPL NUMER HARMON AN, P1, DOI 10.1007/978-0-8176-4543-4

[4]

Kak A.C. Slaney M., 1999, PRINCIPLES COMPUTERI

← 1 →