RECONSTRUCTING PLANE SETS FROM PROJECTIONS

被引:13
作者
BIANCHI, G
LONGINETTI, M
机构
[1] Istituto di Analisi Globale ed Applicazioni, C.N.R., Firenze, 50139
关键词
D O I
10.1007/BF02187787
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We give some uniqueness results for the problem of determining a finite set in the plane knowing its projections along m directions. We apply the results to the problem of the reconstruction of a homogeneous convex body with a finite set of spherical disjoint holes. If m X-ray pictures with directions in some plane are given, then the problem is well posed provided the number of the holes is less than or equal to m and the set of the directions satisfies a suitable condition. © 1990 Springer-Verlag New York Inc.
引用
收藏
页码:223 / 242
页数:20
相关论文
共 9 条
[1]   RADAR TARGET SHAPE ESTIMATION USING ALGORITHMS FOR RECONSTRUCTION FROM PROJECTIONS [J].
DAS, Y ;
BOERNER, WM .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1978, 26 (02) :274-279
[2]   ON HAMMER X-RAY PROBLEM [J].
GARDNER, RJ ;
MCMULLEN, P .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1980, 21 (FEB) :171-175
[3]  
LONGINETTI M, 1986, GEOMETRIAE DEDICATA, V20, P27
[4]   A PROBLEM OF PLANE MEASURE [J].
LORENTZ, GG .
AMERICAN JOURNAL OF MATHEMATICS, 1949, 71 (02) :417-426
[5]  
MAGERL C, 1986, ANN MAT PUR APPL, V144, P173
[6]  
MERMIKIDES ME, 1981, 1980 P CERN SCH COMP, P106
[7]  
Renyi A., 1952, ACTA MATH ACAD SCI H, V3, P131, DOI DOI 10.1007/BF02022515
[8]   PRACTICAL AND MATHEMATICAL ASPECTS OF PROBLEM OF RECONSTRUCTING OBJECTS FROM RADIOGRAPHS [J].
SMITH, KT ;
SOLMON, DC ;
WAGNER, SL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (06) :1227-1270
[9]  
VOLCIC A, 1983, LECTURE NOTES MATH, V1089