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Showing 1 to 3 of 3 for “"Polyhedral surfaces"”.
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The polyhedral Gauss map and discrete curvature measures in geometric modelling.
… the methods to measure the discrete curvature on polyhedral surfaces. The curvatures associated with a polyhedral surface are concentrated around its vertices and along its edges. An existing method to evaluate the curvature at a vertex is the Angle Deficit, which also characterises vertices into …
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Cost-Minizming Networks and Polyhedral Cones
… fluid clusters in space by cost-minimizing polyhedral surfaces, where “cost” is a weighted area. We also discuss planar configurations of immiscible fluid clusters modeled by costminimizing networks, where cost is a weighted length. We give necessary and sufficient conditions for local …