The log-Minkowski measure of asymmetry for convex bodies
In this paper, we introduce a new measure of asymmetry, called log-Minkowski measure of asymmetry for planar convex bodies in terms of the L 0 -mixed volume, and show that triangles are the most asymmetric planar convex bodies in the sense of this measure of asymmetry.
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Published in | Geometriae dedicata Vol. 196; no. 1; pp. 27 - 34 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Dordrecht
Springer Netherlands
01.10.2018
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we introduce a new measure of asymmetry, called log-Minkowski measure of asymmetry for planar convex bodies in terms of the
L
0
-mixed volume, and show that triangles are the most asymmetric planar convex bodies in the sense of this measure of asymmetry. |
---|---|
ISSN: | 0046-5755 1572-9168 |
DOI: | 10.1007/s10711-017-0302-5 |