Fast High-Dimensional Filtering Using the Permutohedral Lattice
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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
Many useful algorithms for processing images and geometry fall under the general framework of high-dimensional Gaussian filtering. This family of algorithms includes bilateral filtering and non-local means. We propose a new way to perform such filters using the permutohedral lattice, which tessellates high-dimensional space with uniform simplices. Our algorithm is the first implementation of a high-dimensional Gaussian filter that is both linear in input size and polynomial in dimensionality. Furthermore it is parameter-free, apart from the filter size, and achieves a consistently high accuracy relative to ground truth (> 45 dB). We use this to demonstrate a number of interactive-rate applications of filters in as high as eight dimensions.
Description
@article{10.1111:j.1467-8659.2009.01645.x,
journal = {Computer Graphics Forum},
title = {{Fast High-Dimensional Filtering Using the Permutohedral Lattice}},
author = {Adams, Andrew and Baek, Jongmin and Davis, Myers Abraham},
year = {2010},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2009.01645.x}
}