IEEE Trans Image Process - Improvements on Fast space-variant elliptical filtering using box splines.

Tópicos

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Resumo

It is well-known that box filters can be efficiently computed using pre-integration and local finite-differences. By generalizing this idea and by combining it with a nonstandard variant of the central limit theorem, we had earlier proposed a constant-time or O(1) algorithm that allowed one to perform space-variant filtering using Gaussian-like kernels. The algorithm was based on the observation that both isotropic and anisotropic Gaussians could be approximated using certain bivariate splines called box splines. The attractive feature of the algorithm was that it allowed one to continuously control the shape and size (covariance) of the filter, and that it had a fixed computational cost per pixel, irrespective of the size of the filter. The algorithm, however, offered a limited control on the covariance and accuracy of the Gaussian approximation. In this paper, we propose some improvements of our previous algorithm.

Resumo Limpo

wellknown box filter can effici comput use preintegr local finitediffer general idea combin nonstandard variant central limit theorem earlier propos constanttim o algorithm allow one perform spacevari filter use gaussianlik kernel algorithm base observ isotrop anisotrop gaussian approxim use certain bivari spline call box spline attract featur algorithm allow one continu control shape size covari filter fix comput cost per pixel irrespect size filter algorithm howev offer limit control covari accuraci gaussian approxim paper propos improv previous algorithm

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