
Minimal Delaunay triangulations of hyperbolic surfaces
Motivated by recent work on Delaunay triangulations of hyperbolic surfac...
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Flipping Geometric Triangulations on Hyperbolic Surfaces
We consider geometric triangulations of surfaces, i.e., triangulations w...
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Predicting Future Cognitive Decline with Hyperbolic Stochastic Coding
Hyperbolic geometry has been successfully applied in modeling brain cort...
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Regular Polygon Surfaces
A regular polygon surface M is a surface graph (Σ, Γ) together with a co...
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General Midpoint Subdivision
In this paper, we introduce two generalizations of midpoint subdivision ...
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Surface MIMO: Using Conductive Surfaces For MIMO Between Small Devices
As connected devices continue to decrease in size, we explore the idea o...
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Analyzing Midpoint Subdivision
Midpoint subdivision generalizes the LaneRiesenfeld algorithm for unifo...
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Delaunay triangulations of generalized Bolza surfaces
The Bolza surface can be seen as the quotient of the hyperbolic plane, represented by the Poincaré disk model, under the action of the group generated by the hyperbolic isometries identifying opposite sides of a regular octagon centered at the origin. We consider generalized Bolza surfaces 𝕄_g, where the octagon is replaced by a regular 4ggon, leading to a genus g surface. We propose an extension of Bowyer's algorithm to these surfaces. In particular, we compute the value of the systole of 𝕄_g. We also propose algorithms computing small sets of points on 𝕄_g that are used to initialize Bowyer's algorithm.
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