IEEE Trans Image Process - Acceleration of the shiftable O(1) algorithm for bilateral filtering and nonlocal means.

Tópicos

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Resumo

A direct implementation of the bilateral filter requires O(s(s)(2)) operations per pixel, where s(s) is the (effective) width of the spatial kernel. A fast implementation of the bilateral filter that required O(1) operations per pixel with respect to s(s) was recently proposed. This was done by using trigonometric functions for the range kernel of the bilateral filter, and by exploiting their so-called shiftability property. In particular, a fast implementation of the Gaussian bilateral filter was realized by approximating the Gaussian range kernel using raised cosines. Later, it was demonstrated that this idea could be extended to a larger class of filters, including the popular non-local means filter. As already observed, a flip side of this approach was that the run time depended on the width s(r) of the range kernel. For an image with dynamic range [0,T], the run time scaled as O(T(2)/s(2)(r)) with s(r). This made it difficult to implement narrow range kernels, particularly for images with large dynamic range. In this paper, we discuss this problem, and propose some simple steps to accelerate the implementation, in general, and for small s(r) in particular. We provide some experimental results to demonstrate the acceleration that is achieved using these modifications.

Resumo Limpo

direct implement bilater filter requir oss oper per pixel ss effect width spatial kernel fast implement bilater filter requir o oper per pixel respect ss recent propos done use trigonometr function rang kernel bilater filter exploit socal shiftabl properti particular fast implement gaussian bilater filter realiz approxim gaussian rang kernel use rais cosin later demonstr idea extend larger class filter includ popular nonloc mean filter alreadi observ flip side approach run time depend width sr rang kernel imag dynam rang t run time scale otsr sr made difficult implement narrow rang kernel particular imag larg dynam rang paper discuss problem propos simpl step acceler implement general small sr particular provid experiment result demonstr acceler achiev use modif

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