Title: Two approaches to 3D reconstruction in NMR zeugmatography

Abstract

In nuclear magnetic resonance (NMR) zeugmatography, the primary data pertain to integrals of the unknown nuclear spin density f(x,y,z) over planes instead of lines in R/sup 3/. Two natural approaches to reconstructing f from such data are: (1) By numerical implementation of the inverse Radon transform in three dimensions (the direct approach), and (2) by application, in two successive stages, of existing well-known algorithms for inverting the two-dimensional Radon transform (the two-stage approach). These two approaches are discussed and compared, both from a theoretical standpoint and through computer results obtained with real NMR data. For the cases studied to date the two methods appear to produce qualitatively similar results.

Authors:

Marr, R B; Chen, C N; Lauterbur, P C

Publication Date:

1980-01-01

Research Org.:

Brookhaven National Lab., Upton, NY (USA); State Univ. of New York, Stony Brook (USA)

Sponsoring Org.:

USDOE

OSTI Identifier:

5219424

Report Number(s):

BNL-28041; CONF-800247-1
TRN: 80-013767

DOE Contract Number:  

AC02-76CH00016

Resource Type:

Conference

Resource Relation:

Conference: Conference on mathematical aspects of computerized tomography, Oberwolfach, F.R. Germany, 10 Feb 1980

Country of Publication:

United States

Language:

English

Subject:

37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; NUCLEAR MAGNETIC RESONANCE; ALGORITHMS; IMAGES; INTEGRAL TRANSFORMATIONS; SPIN; TRANSFORMATIONS; ANGULAR MOMENTUM; MAGNETIC RESONANCE; MATHEMATICAL LOGIC; PARTICLE PROPERTIES; RESONANCE; 400201* - Chemical & Physicochemical Properties