DETERMINATION OF CONVEX-BODIES BY THEIR BRIGHTNESS FUNCTIONS

被引：9

作者：

GARDNER, RJ ^{[1
]}

VOLCIC, A ^{[1
]}

机构：

[1] UNIV TRIESTE,DIPARTIMENTO SCI MATEMAT,I-34100 TRIESTE,ITALY

来源：

MATHEMATIKA | 1993年 / 40卷 / 80期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0025579300006951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that a convex body is determined uniquely among all convex bodies by the volumes of its projections onto all hyperplanes through the origin if and only if it is a parallelotope.

引用

页码：161 / 168

页数：8

共 50 条

[21] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
SCHNEIDER, R
WIEACKER, JA
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (MAR) : 149 - 156
[22] APPROXIMATION OF CONVEX-BODIES BY TRIANGLES
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 207 - 210
[23] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
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DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1981, 34 (05): : 621 - 622
[24] ITERATED MEANS OF CONVEX-BODIES
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MONATSHEFTE FUR MATHEMATIK, 1992, 113 (03): : 189 - 198
[25] SKELETA AND SECTIONS OF CONVEX-BODIES
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MATHEMATIKA, 1980, 27 (53) : 97 - 103
[26] ILLUMINATION THROUGH CONVEX-BODIES
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SOLTAN, VP
DOKLADY AKADEMII NAUK SSSR, 1986, 286 (01): : 50 - 53
[27] CONVEX-BODIES WITH FEW FACES
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (01) : 225 - 231
[28] ON INNER QUERMASSES OF CONVEX-BODIES
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ARCHIV DER MATHEMATIK, 1989, 52 (04) : 402 - 406
[29] AFFINELY EMBEDDABLE CONVEX-BODIES
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GEOMETRIAE DEDICATA, 1988, 26 (01) : 99 - 109
[30] A NOTE ON THE ILLUMINATION OF CONVEX-BODIES
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