Concept
Voronoi diagram
Related publications (51)
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Shape-changing robots adapt their own morphology to address a wider range of functions or environments than is possible with a fixed or rigid structure. Akin to biological organisms, the ability to alter shape or configuration emerges from the underlying m ...
Berlin2023High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography
This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive moving mesh finite difference schemes for the shallow water equations (SWEs) with non flat bottom topography. To enable the construction of the ES schemes on moving mesh ...
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The nature of the gap observed at the zone border in the spin excitation spectrum of CrI3 quasitwo-dimensional single crystals is still controversial. We perform first-principles calculations based on time-dependent density functional perturbation theory, ...
College Pk2023Quadratic serendipity element shape functions on general planar polygons
This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...
ELSEVIER SCIENCE SA2022A virtual microstructure generator for 3D stone masonry walls
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Detailed micromodel simulations of stone masonry walls require as input a 3D mesh that represents a realistic arrangement of stones in the masonry wall. In this paper, we constructed the first 3D masonry microstructures to derive 2D and 3D finite or discre ...
ELSEVIER2022Convex Quantization Preserves Logconcavity
A logconcave likelihood is as important to proper statistical inference as a convex cost function is important to variational optimization. Quantization is often disregarded when writing likelihood models, ignoring the limitations of the physical detectors ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022Development of a semi-implicit contact methodology for finite volume stress solvers
Andreas Pautz, Carlo Fiorina, Alessandro Scolaro
The past decades have seen numerous efforts to apply the finite volume methodology to solid mechanics problems. However, only limited work has been done by the finite volume community toward the simulation of mechanical contact. In this article, we present ...
WILEY2021On compact representations of Voronoi cells of lattices
Matthias Schymura, Christoph Hunkenschröder
In a seminal work, Micciancio and Voulgaris (SIAM J Comput 42(3):1364-1391, 2013) described a deterministic single-exponential time algorithm for the closest vector problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given ...
SPRINGER HEIDELBERG2020A Low-Parametric Rhombic Microstructure Family for Irregular Lattices
New fabrication technologies have significantly decreased the cost of fabrication of shapes with highly complex geometric structure. One important application of complex fine-scale geometric structures is to create variable effective elastic material prope ...
ASSOC COMPUTING MACHINERY2020Deforming Tessellations for the Segmentation of Cell Aggregates
Michaël Unser, Daniel Sage, Aymeric Alexandre Galan, Anaïs Laure Marie-Thérèse Badoual
We present a new active contour to segment cell aggregates. We describe it by a smooth tessellation that is attracted toward the cell membranes. Our approach relies on subdivision schemes that are tightly linked to the theory of wavelets. The shape is enco ...
IEEE2019