Global Optimization of Centroidal Voronoi Tessellation with Monte Carlo Approach
IEEE Transactions on Visualization and Computer Graphics, 2012 Centroidal Voronoi Tessellation (CVT) is a widely used geometric structure in applications including mesh generation, vector quantization and image processing. Global optimization of the CVT function is important in these applications. With numerical evidences, we show that the CVT function is highly nonconvex and has many local minima and therefore ...
Sun, F, Wang, WP, Lu, L, Pan, H
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Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications
, 2019 Nowadays, big data of digital media (including images, videos and 3D graphical models) are frequently modeled as low-dimensional manifold meshes embedded in a high-dimensional feature space. In this paper, we summarized our recent work on geodesic centroidal Voronoi tessellations(GCVTs), which are intrinsic geometric structures on manifold meshes.
Ye, Zipeng +4 more
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Medial packing and elastic asymmetry stabilize the double-gyroid in block copolymers. [PDF]
Nat Commun, 2022 Reddy A, Dimitriyev MS, Grason GM.
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Content-Aware SLIC Super-Pixels for Semi-Dark Images (SLIC++). [PDF]
Sensors (Basel), 2022 Hashmani MA +5 more
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Nonhomogeneous distributions and optimal quantizers for Sierpi\'nski carpets
, 2016 The purpose of quantization of a probability distribution is to estimate the probability by a discrete probability with finite support. In this paper, a nonhomogeneous probability measure $P$ on $\mathbb R^2$ which has support the Sierpi\'nski carpet ...
Roychowdhury, Mrinal Kanti
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Bi-objective optimization of catheter positions for high-dose-rate prostate brachytherapy. [PDF]
Med Phys, 2020 van der Meer MC +6 more
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EpiGraph: an open-source platform to quantify epithelial organization. [PDF]
Bioinformatics, 2020 Vicente-Munuera P +8 more
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Finite-element and semi-analytical study of elastic wave propagation in strongly scattering polycrystals. [PDF]
Proc Math Phys Eng Sci, 2022 Huang M +3 more
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Multi-Level Evolution for Robotic Design. [PDF]
Front Robot AI, 2021 Chand S, Howard D.
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Bottom-up Coarse-Graining: Principles and Perspectives. [PDF]
J Chem Theory Comput, 2022 Jin J +4 more
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