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Illumination bodies and affine surface area

Elisabeth Werner (1994)

Studia Mathematica

We show that the affine surface area as(∂K) of a convex body K in n can be computed as a s ( K ) = l i m δ 0 d n ( v o l n ( K δ ) - v o l n ( K ) ) / ( δ 2 / ( n + 1 ) ) where d n is a constant and K δ is the illumination body.

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