Self-improving algorithms

N Ailon, B Chazelle, KL Clarkson, D Liu, W Mulzer… - SIAM Journal on …, 2011 - SIAM
We investigate ways in which an algorithm can improve its expected performance by fine-
tuning itself automatically with respect to an unknown input distribution D. We assume here …

Lower bounds for oblivious near-neighbor search

KG Larsen, T Malkin, O Weinstein, K Yeo - Proceedings of the Fourteenth …, 2020 - SIAM
We prove an Ω (d lg n/(lg lg n) 2) lower bound on the dynamic cell-probe complexity of
statistically oblivious approximate-near-neighbor search (ANN) over the d-dimensional …

Delaunay triangulations in O(sort(n)) time and more

K Buchin, W Mulzer - Journal of the ACM (JACM), 2011 - dl.acm.org
We present several results about Delaunay triangulations (DTs) and convex hulls in
transdichotomous and hereditary settings:(i) the DT of a planar point set can be computed in …

Preprocessing imprecise points for Delaunay triangulation: Simplified and extended

K Buchin, M Löffler, P Morin, W Mulzer - Algorithmica, 2011 - Springer
Suppose we want to compute the Delaunay triangulation of a set P whose points are
restricted to a collection ℛ of input regions known in advance. Building on recent work by …

Preprocessing imprecise points and splitting triangulations

M Van Kreveld, M Löffler, JSB Mitchell - SIAM Journal on Computing, 2010 - SIAM
Traditional algorithms in computational geometry assume that the input points are given
precisely. In practice, data is usually imprecise, but information about the imprecision is often …

Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance

S Manzoor, MG Edwards, AH Dogru… - Computational …, 2018 - Springer
Grid generation for reservoir simulation must honor classical key constraints and be
boundary aligned such that control-volume boundaries are aligned with geological features …

Monitoring the health of an emblematic monument from terrestrial laser scanner

D Gonzalez-Aguilera, J Gomez-Lahoz… - Nondestructive …, 2008 - Taylor & Francis
This paper deals with the application of terrestrial laser scanner technology to the health
monitoring of a monument in the World Heritage List. Specifically, this monument is a …

Triangulating the square and squaring the triangle: quadtrees and Delaunay triangulations are equivalent

M Loffler, W Mulzer - SIAM Journal on Computing, 2012 - SIAM
We show that Delaunay triangulations and compressed quadtrees are equivalent structures.
More precisely, we give two algorithms: the first computes a compressed quadtree for a …

On the shape of a set of points and lines in the plane

M Van Kreveld, T Van Lankveld… - Computer Graphics …, 2011 - Wiley Online Library
Detailed geometric models of the real world are in increasing demand. LiDAR data is
appropriate to reconstruct urban models. In urban scenes, the individual surfaces can be …

Delaunay triangulation of imprecise points, preprocess and actually get a fast query time

O Devillers - Journal of Computational Geometry, 2011 - inria.hal.science
We propose a new algorithm to preprocess a set of n disjoint unit disks in O (n log n)
expected time, allowing to compute the Delaunay triangulation of a set of n points, one from …