Orientation-dependent section distributions for convex bodies |
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Authors: | H. S. Harutyunyan V. K. Ohanyan |
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Affiliation: | 1. Yerevan State University, Yerevan, Armenia
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Abstract: | In the paper the orientation dependent chord length distribution functions for some bounded convex domains are obtained. In particular, formulae for the orientation dependent chord length distributions for a regular polygon and an ellipse are obtained. Explicit forms of the orientation dependent chord length distributions were known only in the cases of a disc and a triangle. We also obtain the cross-section area distribution functions for an ellipsoid and a cylinder. The cross-section area distribution function was known only in the case of a ball. |
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