Geodesic
The addition of subsets to constant width bodies
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 132-143

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We research a well-known existence problem of constant width bodies which contain the given bounded set. We have got a formula for such bodies and a criteria of uniqueness for constant width body which contain a given bounded set. 
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     author = {E. S. Polovinkin and S. V. Sidenko},
     title = {The addition of subsets to constant width bodies},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {148},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a12/}
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E. S. Polovinkin; S. V. Sidenko. The addition of subsets to constant width bodies. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 132-143. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a12/