Journal ArticleDOI
Two algorithms for constructing a Delaunay triangulation
Der-Tsai Lee,Bruce Schachter +1 more
TLDR
This paper provides a unified discussion of the Delaunay triangulation and two algorithms are presented for constructing the triangulations over a planar set ofN points.Abstract:
This paper provides a unified discussion of the Delaunay triangulation. Its geometric properties are reviewed and several applications are discussed. Two algorithms are presented for constructing the triangulation over a planar set ofN points. The first algorithm uses a divide-and-conquer approach. It runs inO(N logN) time, which is asymptotically optimal. The second algorithm is iterative and requiresO(N
2) time in the worst case. However, its average case performance is comparable to that of the first algorithm.read more
Citations
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Journal ArticleDOI
A fault runs through it: Modeling the influence of rock strength and grain-size distribution in a fault-damaged landscape
Journal ArticleDOI
An efficient sweep-line Delaunay triangulation algorithm
TL;DR: A new algorithm for constructing a 2D Delaunay triangulation is introduced, based on a sweep-line paradigm, which is combined with a local optimization criterion-a characteristic of incremental insertion algorithms.
Journal ArticleDOI
New morphometric measurements of craters and basins on Mercury and the Moon from MESSENGER and LRO altimetry and image data: An observational framework for evaluating models of peak-ring basin formation
David M.H. Baker,James W. Head +1 more
TL;DR: In this paper, the morphometric properties of impact structures in the transition from complex craters with central peaks to peak-ring basins are measured using altimetry and image data from the MESSENGER and LRO spacecraft in orbit around Mercury and the Moon.
Journal ArticleDOI
A Lagrangian gradient smoothing method for solid‐flow problems using simplicial mesh
TL;DR: Both the theoretical analysis and the numerical testing results demonstrate that the proposed Lagrangian gradient smoothing method approach restores first‐order accuracy unconditionally and does not suffer from the tensile instability.
Journal ArticleDOI
Preserving Personalized Location Privacy in Ride-Hailing Service
TL;DR: This work proposes an enhanced scheme that allows a rider to specify his privacy preference and provides much better ride matching results that are close to the optimal solution, while preserving personalized location privacy for riders.
References
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Journal ArticleDOI
Nouvelles applications des paramètres continus à théorie des formes quadratiques. Deuxième Mémoire. Recherches sur les paralléloèdres primitifs.
Proceedings ArticleDOI
Closest-point problems
Michael Ian Shamos,Dan Hoey +1 more
TL;DR: The purpose of this paper is to introduce a single geometric structure, called the Voronoi diagram, which can be constructed rapidly and contains all of the relevant proximity information in only linear space, and is used to obtain O(N log N) algorithms for most of the problems considered.