PALEY-WIENER THEOREM FOR EXPONENTIAL RADON-TRANSFORM

被引:13
作者
KUCHMENT, PA [1 ]
LVIN, SY [1 ]
机构
[1] VORONEZH FORESTRY TECHNOL INST,DEPT MATH,VORONEZH 394613,USSR
关键词
AMS subject classification (1980): 44A15; radon transform; Tomography;
D O I
10.1007/BF00049128
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The exponential Radon transform on the plane arises in single photon emission computed tomography. It differs from the usual Radon transform by an exponential weight along the line of integration. The full description of the image of the transform in the space of compactly supported smooth functions is given. This description is connected with some curious identities for the sin function. © 1990 Kluwer Academic Publishers.
引用
收藏
页码:251 / 260
页数:10
相关论文
共 15 条
[1]   COMPENSATION OF TISSUE ABSORPTION IN EMISSION TOMOGRAPHY [J].
BELLINI, S ;
PIACENTINI, M ;
CAFFORIO, C ;
ROCCA, F .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (03) :213-218
[2]  
FINCH DV, 1987, CONT MATH, V44, P67
[3]  
Gel'fand I.M., 1962, INTEGRAL GEOMETRY RE
[4]  
Helgason, 2000, GROUPGEOMETRIC ANA, V83
[5]  
Helgason S., 1980, RADON TRANSFORM
[6]  
Herman G.T., 1980, IMAGE RECONSTRUCTION
[7]   ON THE INJECTIVITY OF THE ATTENUATED RADON-TRANSFORM [J].
HERTLE, A .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 92 (02) :201-205
[8]   AN ELEMENTARY PROOF OF LOCAL INVERTIBILITY FOR GENERALIZED AND ATTENUATED RADON TRANSFORMS [J].
MARKOE, A ;
QUINTO, ET .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1985, 16 (05) :1114-1119
[9]   FOURIER INVERSION OF THE ATTENUATED X-RAY TRANSFORM [J].
MARKOE, A .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :718-722
[10]  
MARKOE A, 1985, SIAM J MATH ANAL, V16, P1119