15. Decomposition of convex bodies in ...

Above: Decomposition of convex bodies in $ℝ_{2}^{n}$

The decomposition of convex bodies is particularly useful in Mathematical Morphology [AF 1 515] .

15.1 Polytope decomposition

Every non-empty polygon X of

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(1) - ANDERSON (R.D.), KLEE (V.) - Convex functions and upper-semicontinuous collections, - Duke Mathematical Journal, Vol. 19, pp. 349-357 (1952).
(2) - ASPLUND (E.) - Čebyšev sets in Hilbert space, - Transactions of the American Mathematical...

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