MATHEMATICAL PRINCIPLES OF BASIC MAGNETIC-RESONANCE-IMAGING IN MEDICINE

被引：15

作者：

SEBASTIANI, G

BARONE, P

机构：

[1] Istituto per le Applicazioni del Calcolo M. Picone, Consiglio Nazionale delle Ricerche, 00161 Roma

来源：

SIGNAL PROCESSING | 1991年 / 25卷 / 02期

关键词：

BIOMEDICAL IMAGE PROCESSING; MAGNETIC RESONANCE;

D O I：

10.1016/0165-1684(91)90065-Q

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper we review, from a mathematical point of view, the main techniques of magnetic resonance imaging (MRI) used in medicine. A detailed mathematical description of the basic physics and of the image formation process is given in the framework of the classical theory.

引用

页码：227 / 250

页数：24

共 25 条

[1]

Abragam, The Principles of Nuclear Magnetism, (1983)

[2]

Bloch, Nuclear induction, Phys. Rev., 70, 7, pp. 460-474, (1946)

[3]

Bloch, Siegert, Magnetic resonance for nonrotating fields, Phys. Rev., 57, 6, pp. 522-527, (1940)

[4]

De Simone, De Luca, Maraviglia, Maximum-entropy and 2DFT NMR images, Magn. Resonance. Med., 8, 3, pp. 332-339, (1988)

[5]

Edelstein, Hutchison, Johnson, Redpath, Spin warp NMR imaging and applications to human whole-body imaging, Phys. Med. Biol., 25, 4, pp. 751-756, (1980)

[6]

Emsley, Feeney, Sutcliffe, High Resolution Nuclear Magnetic Resonance Spectroscopy, pp. 59-117, (1965)

[7]

Farrar, Becker, Pulse and Fourier Transform NMR, pp. 8-10, (1971)

[8]

Foster, Hutchison, Practical NMR Imaging, (1987)

[9]

Gerstein, Dybowsky, Transient Techniques in NMR of Solids, pp. 4-11, (1985)

[10]

Haacke, Liang, Izen, Constrained reconstruction: A superresolution, optimal signal-to-noise alternative to the Fourier transform in magnetic resonance imaging, Med. Phys., 16, 3, pp. 388-397, (1989)

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