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18 results with keyword: 'delaunay triangulations of points on circles'

Delaunay Triangulations of Points on Circles

If a set of points in the Euclidean plane does not contain any sym- metric quadruples then it has a unique max-min angle Delaunay triangulation.. Notice that the two

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2021
Discretized Riemannian Delaunay Triangulations

By building upon the theoretical results of the Riemannian Delaunay triangulation, we show that, under sufficient conditions, the dual of the Riemannian Voronoi diagram can be

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2021
Higher order Delaunay triangulations

This paper introduced a class of triangulations that generalizes the Delaunay triangulation: the empty- circle property for the triangles in the Delaunay triangulation is replaced

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2021
Using archaeological data to infer past relative sea-level positions along the Bulgarian coast of the Black Sea

On the Bulgarian Black Sea coast a series of sunken harbour facilities (Karantinata, Galata, Apollonia Pontica) (DIMITROV and ORACHEV, 1982) and parts of residential quarters of

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2022
Optimal higher order Delaunay triangulations of polygons

We also explain how to extend our algorithm to triangulate polygons with points inside, and present experimental results on the structure of order- k Delaunay triangulations that

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2021
Crank and Slotted Lever

The objective of this experiment is to investigate the kinematics motion of a Crank and Slotted Lever Quick Return mechanism.. The investigation is to show that it is indeed a

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2021
On the number of higher order Delaunay triangulations

In relation to our expected case analysis of the number of higher order Delaunay triangulations, it is worth mentioning that many properties of the Delaunay triangulation – and

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2021
On the Number of Higher Order Delaunay Triangulations

Results We study lower and upper bounds on the number of higher order Delaunay triangula- tions, as well as the expected number of order- k Delaunay triangulations for

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2021
Discretized Riemannian Delaunay Triangulations

We have introduced a practical approach to computing Riemannian Voronoi diagrams and exposed theoretical conditions on the point set and the canvas such that geodesic and straight

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2021
Delaunay Triangulations on Orientable Surfaces of Low Genus

Earlier work on Delaunay triangulation of point sets on the 2D flat torus, which is locally isometric to the Euclidean plane, was based on lifting the point set to a locally

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2021
Perturbations for Delaunay and weighted Delaunay 3D triangulations

In the case we are interested in, if S is not in general position, the regular triangulation is not uniquely defined and the aim of a perturbation technique is to select one of

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2021
Turning in the Age of Corona...Episode #30

Picking up on that lead, we’ll be offering our June, 2021, demo as an illustrated, step by step narrative by John Wells for turning handles of several different kinds of tools..

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2021
Delaunay triangulations approximate anchor hulls

Abstract Recent results establish that a subset of the Voronoi diagram of a point set that is sampled from the smooth boundary of a shape approximates the medial axis..

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Implementing Delaunay Triangulations of the Bolza Surface

Consequently, the Euclidean Delaunay triangle containing p gives us a hyperbolic Delaunay face in conflict with p; the Euclidean and hyperbolic faces will both be denoted as.. σ p

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2021
The Stretch Factor of Hexagon-Delaunay Triangulations

The worst case stretch factor for the Delaunay triangulation is then the maximum between the worst case stretch factors for 1) a path connecting the leftmost and rightmost points in

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2021
External corrosion modeling for an underground natural gas pipeline using COMSOL Multiphysics

The model under study consists of a steel pipeline with a corrosion defect and surrounding soil..

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2021
Optimization for first order Delaunay triangulations

Once the optimal value of M ( T ) is found, we take the corresponding 2-SAT solution and compute the assignment of diagonals for each flippable quadrilateral accordingly, resulting in

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2021
New Results on LEPP-delaunay Algorithm for Quality Triangulations

For a terminal triangle with smallest angle α = θ the ratio between the insertion radius of Q and P is bounded by 1 +cos 120 2 sin θ ◦ , wich corresponds to the ratio between

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2021

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