Global ETD Search
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Showing 1 to 4 of 4 for “"Discrete curvature"”.
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The polyhedral Gauss map and discrete curvature measures in geometric modelling.
… in this thesis is concentrated on the study of discrete curvature as an important geometric property of objects, useful in describing their shape. The main focus is on the study of the methods to measure the discrete curvature on polyhedral surfaces. The curvatures associated with a polyhedral …
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Bistable Auxetic System -- Programming synclastic curvature into 2D Patterning
… the locations of linear hinges from target discrete curvature are informed by the constraints and further optimized through prototype fabrication(Top-down process). Accompanying the pattern generation, a design strategy based on the Gauss map and parallel mesh is also developed to explore …
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Discrepancy Inequalities in Graphs and Their Applications
… We seek to mimic that idea, but by using discrete curvature instead of a spectral condition. Discrete curvature, inspired by its counterpart in Riemannian geometry, measures the local volume growth at a vertex. Thus, given a vertex <em>x</em>, our result uses curvature to quantify the edge …
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Discretization of differential geometry for computational gauge theory
This Dissertation was approved for publication on 2018-04-13 at 12:05.