Accession Number : AD0770553

Title :   A New Approach to the Line-Integral Transform,

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF STANFORD ELECTRONICS LABS

Personal Author(s) : Ein-Gal,Moshe

Report Date : OCT 1973

Pagination or Media Count : 16

Abstract : The problem of reconstructing two-dimensional density from its line-integrals has been treated by authors from different branches of Physics and Engineering. Formulating the problem as an integral transformation a new method is presented for the derivation of the inverse. The method appears to be efficient and is characterized by the following properties: (a) The solution has the form of an orthogonal expansion; (b) only relevant data is used; (c) the solution is of a convolution type. The key to this method is the use of a particular integral transform to be introduced as the circular harmonic transform. (Author)

Descriptors :   *Integral transforms, *Numerical integration, Fourier transformation, Theorems

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE