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Showing 1 to 7 of 7 for “"Polyhedrons"”.
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A Deterministic Approach to Partitioning Neural Network Training Data for the Classification Problem
… of observations within their groups' convex polyhedrons. We show by example that projecting the interior points of simulated data to the boundary of their group polyhedrons generates convex shapes similar to real-world data group convex polyhedrons. Our two-group deterministic partitioning …
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Local Criteria in Polyhedral Minimizing Problems
… of criteria for edge-length minimizing polyhedrons. The aim is to get closer to answering a 1957 conjecture by Zdzislaw Melzak, that the unit volume polyhedron with least edge length was a triangular right prism, with edge length $2^{2/3}3^{11/6}\approx 11.896$. We present a variety of …
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Constrained parameterization with applications to graphics and image processing.
… dimensional datasets, such as, volume data and polyhedrons. The second contribution is the development of a vector field based deformation algorithm for 2D mesh deformation and image warping. Many presented deformation approaches are used to employ the basis functions (including our proposed …
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Order and Asymmetry in Jammed Systems
… entropy is to detect and quantify unique Voronoi polyhedrons. Voronoi entropy can successfully find lattice order in bi-disperse crystal and other structures like simple cubic, body-centered-cubic, for which Q<sub>6</sub> is not sensitive. We performed molecular dynamics (MD) simulations of binary …
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Polytope-based topology optimization using a mimetic-inspired method
Topology optimization refers to the optimum distribution of materials, so as to achieve certain prescribed design objectives while simultaneously satisfying constraints. Engineering applications often require unstructured meshes to capture the domain and boundary conditions accurately and to ensure …
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Poliedros de Platão
Geometry is, frequent, taught in the schools in traditional way, with the theories of didactic books. However, this work has as objective a bibliographical research and a proposal of activity to awake in the pupils the interest for special geometry in the Polyhedra of Platão, being shown that the …