@InProceedings{MalheirosWalt:2015:SiEfAp,
author = "Malheiros, Marcelo de Gomensoro and Walter, Marcelo",
title = "Simple and efficient approximate nearest neighbor search using
spatial sorting",
booktitle = "Proceedings...",
year = "2015",
editor = "Papa, Jo{\~a}o Paulo and Sander, Pedro Vieira and Marroquim,
Ricardo Guerra and Farrell, Ryan",
organization = "Conference on Graphics, Patterns and Images, 28. (SIBGRAPI)",
publisher = "IEEE Computer Society",
address = "Los Alamitos",
keywords = "spatial sorting, k-nearest neighbors, parallel algorithms, data
structures.",
abstract = "Finding the nearest neighbors of a point is a highly used
operation in many graphics applications. Recently, the
neighborhood grid has been proposed as a new approach for this
task, focused on low-dimensional spaces. In 2D, for instance, we
would organize a set of points in a matrix in such a way that
their x and y coordinates are at the same time sorted along rows
and columns, respectively. Then, the problem of finding closest
points reduces to only examining the nearby elements around a
given element in the matrix. Based on this idea, we propose and
evaluate novel spatial sorting strategies for the bidimensional
case, providing significant performance and precision gains over
previous works. We also experimentally analyze different
scenarios, to establish the robustness of searching for nearest
neighbors. The experiments show that for many dense point
distributions, by using some of the devised algorithms, spatial
sorting beats more complex and current techniques, like k-d trees
and index sorting. Our main contribution is to show that spatial
sorting, albeit a still scarcely researched topic, can be turned
into a competitive approximate technique for the low-dimensional
k-NN problem, still being simple to implement, memory efficient,
robust on common cases, and highly parallelizable.",
conference-location = "Salvador, BA, Brazil",
conference-year = "26-29 Aug. 2015",
doi = "10.1109/SIBGRAPI.2015.37",
url = "http://dx.doi.org/10.1109/SIBGRAPI.2015.37",
language = "en",
ibi = "8JMKD3MGPBW34M/3JMNB5L",
url = "http://urlib.net/ibi/8JMKD3MGPBW34M/3JMNB5L",
targetfile = "PID3770507.pdf",
urlaccessdate = "2024, Apr. 27"
}