[IPOL announce] new article: A Fast Approximation of the Bilateral Filter using the Discrete Fourier Transform
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Tue Jul 4 00:20:49 CEST 2017
A new article is available in IPOL: http://www.ipol.im/pub/art/2017/184/
Pravin Nair, Anmol Popli, and Kunal N. Chaudhury,
A Fast Approximation of the Bilateral Filter using the Discrete Fourier
Transform,
Image Processing On Line, 7 (2017), pp. 115–130.
https://doi.org/10.5201/ipol.2017.184
Abstract
The bilateral filter is a popular non-linear smoother that has
applications in image processing, computer vision, and computational
photography. The novelty of the filter is that a range kernel is used in
tandem with a spatial kernel for performing edge-preserving smoothing,
where both kernels are usually Gaussian. A direct implementation of the
bilateral filter is computationally expensive, and several fast
approximations have been proposed to address this problem. In
particular, it was recently demonstrated in a series of papers that a
fast and accurate approximation of the bilateral filter can be obtained
by approximating the Gaussian range kernel using polynomials and
trigonometric functions. By adopting some of the ideas from this line of
work, we propose a fast algorithm based on the discrete Fourier
transform of the samples of the range kernel. We develop a parallel C
implementation of the resulting algorithm for Gaussian kernels, and
analyze the effect of various extrinsic and intrinsic parameters on the
approximation quality and the run time. A key component of the
implementation are the recursive Gaussian filters of Deriche and Young.
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