IEEE Trans Image Process - Fast O1 bilateral filtering using trigonometric range kernels.

Tópicos

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Resumo

It is well known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not scale with the size or shape of the filter. These fast algorithms are generally referred to as constant-time or O(1) algorithms in the image-processing literature. Along with the spatial filter, the edge-preserving bilateral filter involves an additional range kernel. This is used to restrict the averaging to those neighborhood pixels whose intensity are similar or close to that of the pixel of interest. The range kernel operates by acting on the pixel intensities. This makes the averaging process nonlinear and computationally intensive, particularly when the spatial filter is large. In this paper, we show how the O(1) averaging algorithms can be leveraged for realizing the bilateral filter in constant time, by using trigonometric range kernels. This is done by generalizing the idea presented by Porikli, i.e., using polynomial kernels. The class of trigonometric kernels turns out to be sufficiently rich, allowing for the approximation of the standard Gaussian bilateral filter. The attractive feature of our approach is that, for a fixed number of terms, the quality of approximation achieved using trigonometric kernels is much superior to that obtained by Porikli using polynomials.

Resumo Limpo

well known spatial averag can realiz space frequenc domain use algorithm whose complex scale size shape filter fast algorithm general refer constanttim o algorithm imageprocess literatur along spatial filter edgepreserv bilater filter involv addit rang kernel use restrict averag neighborhood pixel whose intens similar close pixel interest rang kernel oper act pixel intens make averag process nonlinear comput intens particular spatial filter larg paper show o averag algorithm can leverag realiz bilater filter constant time use trigonometr rang kernel done general idea present porik ie use polynomi kernel class trigonometr kernel turn suffici rich allow approxim standard gaussian bilater filter attract featur approach fix number term qualiti approxim achiev use trigonometr kernel much superior obtain porik use polynomi

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