Geodesic
THE CONVEX INTERSECTION BODY OF A CONVEX BODY
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 523-534

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DOI

Let L be a convex body in n and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection bodyI(L, z) (whose radial function at u ∈ Sn−1 is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only if L is centrally symmetric about z. We study the properties of CI(L, z).
DOI : 10.1017/S0017089511000103
Mots-clés : 52A20 
MEYER, MATHIEU; REISNER, SHLOMO. THE CONVEX INTERSECTION BODY OF A CONVEX BODY. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 523-534. doi: 10.1017/S0017089511000103
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     title = {THE {CONVEX} {INTERSECTION} {BODY} {OF} {A} {CONVEX} {BODY}},
     journal = {Glasgow mathematical journal},
     pages = {523--534},
     year = {2011},
     volume = {53},
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     doi = {10.1017/S0017089511000103},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000103/}
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