Geodesic
Illumination bodies and affine surface area
Studia Mathematica, Tome 110 (1994) no. 3, pp. 257-269 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the affine surface area as(∂K) of a convex body K in $ℝ^{n}$ can be computed as $as(∂K) = lim_{δ→0} d_{n} (vol_{n}(K^{δ}) - vol_{n}(K))/(δ^{2/(n+1)})$ where $d_{n}$ is a constant and $K^{δ}$ is the illumination body. 
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     author = {Elisabeth Werner},
     title = {Illumination bodies and affine surface area},
     journal = {Studia Mathematica},
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     language = {en},
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}
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Elisabeth Werner. Illumination bodies and affine surface area. Studia Mathematica, Tome 110 (1994) no. 3, pp. 257-269. doi: 10.4064/sm-110-3-257-269

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