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math.OC2018
Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D
Rustum Choksi, Xin Yang Lu
Gersho's conjecture in 3D asserts the asymptotic periodicity and structure of the optimal centroidal Voronoi tessellation. This relatively simple crystallization problem remains to…
math.AP2018
Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties
Pan Liu, Xin Yang Lu
In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the -order (an)-isotropic total variatio…