polytopal approximation
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scholarly journals Weighted floating bodies and polytopal approximation

2018 ◽  
Vol 370 (10) ◽  
pp. 7129-7148 ◽  
Author(s):  
Florian Besau ◽  
Monika Ludwig ◽  
Elisabeth M. Werner
Keyword(s):  
Floating Bodies ◽  
Polytopal Approximation

scholarly journals Polytopal approximation of elongated convex bodies

2018 ◽  
Vol 18 (1) ◽  
pp. 105-114
Author(s):  
Gilles Bonnet
Keyword(s):  
Convex Body ◽  
Best Approximation ◽  
Convex Set ◽  
Hausdorff Metric ◽  
Convex Bodies ◽  
The Best Approximation ◽  
Polytopal Approximation ◽  
Isoperimetric Ratio

AbstractThis paper presents bounds for the best approximation, with respect to the Hausdorff metric, of a convex bodyKby a circumscribed polytopePwith a given number of facets. These bounds are of particular interest ifKis elongated. To measure the elongation of the convex set, its isoperimetric ratioVj(K)1/jVi(K)−1/iis used.

scholarly journals Umbrellas and Polytopal Approximation of the Euclidean Ball

1997 ◽  
Vol 90 (1) ◽  
pp. 9-22 ◽  
Author(s):  
Yehoram Gordon ◽  
Shlomo Reisner ◽  
Carsten Schütt
Keyword(s):  
Euclidean Ball ◽  
Polytopal Approximation
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