Geodesic
Computations of Quasiconvex Hulls of Isotropic Sets
Journal of convex analysis, Tome 24 (2017) no. 2, pp. 477-492
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We design an algorithm for computations of quasiconvex hulls of isotropic compact sets in in the space of 2×2 real matrices. Our approach uses a recent result by the first author [Adv. Calc. Var. 8 (2015) 43--53] on quasiconvex hulls of isotropic compact sets in the space of 2×2 real matrices. We show that our algorithm has the time complexity of O(N log N) where N is the number of orbits of the set. Finally, we outline some applications of our results to relaxation of L∞ variational problems. 
@article{JCA_2017_24_2_JCA_2017_24_2_a6,
     author = {S. Heinz and M. Kruz{\'\i}k},
     title = {Computations of {Quasiconvex} {Hulls} of {Isotropic} {Sets}},
     journal = {Journal of convex analysis},
     pages = {477--492},
     year = {2017},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a6/}
}
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S. Heinz; M. Kruzík. Computations of Quasiconvex Hulls of Isotropic Sets. Journal of convex analysis, Tome 24 (2017) no. 2, pp. 477-492. http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a6/