Conference paper

Fast Adaptive Elliptical Filtering Using Box Splines

We demonstrate that it is possible to filter all image with an elliptic window of varying size, elongation and orientation with a fixed computational cost per pixel. Our method involves the application of a suitable global pre-integrator followed by a pointwise-adaptive localization me,h. We present the basic theory for the 1D case using a B spline formalism and then appropriately extend it to 2D using radially-uniform box splines. The sire and ellipticity of these radially-uniform box splines is adaptively controlled. Moreover, they converge to Gaussians as the order increases. Finally, we present a fast and practical directional filtering, algorithm that has the capability of adapting to the local image features.


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