SOME EXTENSIONS OF THE CLASS OF k-CONVEX BODIES

V. P. Golubyatnikov; V. Yu. Rovenski

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SOME EXTENSIONS OF THE CLASS OF k-CONVEX BODIES

机译：k凸体类的某些扩展

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摘要

We study interrelations between sonic classes of bodies in Euclidean spaces. We introducecircular projections in normed linear spaces and the classes of bodies related with some families of theseprojections. Investigation of these bodies more general than k-convex and k-visible bodies allows us togeneralize some classical results of geometric tomography and find their new applications.

机译：我们研究欧几里得空间中身体的声音分类之间的相互关系。我们介绍了范数线性空间中的圆形投影以及与这些投影的某些族相关的物体类别。研究这些比k凸和k可见的实体更笼统的物体，使我们能够概括几何层析成像的一些经典结果，并找到它们的新应用。

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《Siberian Mathematical Journal》 |2009年第5期|共10页
作者
V. P. Golubyatnikov; V. Yu. Rovenski;
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正文语种 eng
中图分类数学;
关键词
k-convex body; k-visible body; supporting ball; circular projection; visual hull; geometrictomography;

机译：k凸体;k可见体;支撑球;圆形投影;视觉船体;几何断层摄影;

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1. SOME EXTENSIONS OF THE CLASS OF k-CONVEX BODIES [J] . V. P. Golubyatnikov, V. Yu. Rovenski Siberian Mathematical Journal . 2009,第5期

机译：k凸体类的某些扩展
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5. Maximum entropy and improved iterative scaling for classification on mixed spaces, ensemble classification and extensions. [D] . Pal, Siddharth. 2006

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7. Some extensions of the class of k-convex bodies [O] . V. Golubyatnikov 2009

机译：k凸体类的某些扩展

SOME EXTENSIONS OF THE CLASS OF k-CONVEX BODIES

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