Fast Adaptive Elliptical Filtering Using Box Splines
We demonstrate that it is possible to filter an 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 mesh. 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 size 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.
- View record in Web of Science
- URL: http://bigwww.epfl.ch/publications/chaudhury0802.html
- URL: http://bigwww.epfl.ch/publications/chaudhury0802.pdf
- URL: http://bigwww.epfl.ch/publications/chaudhury0802.ps
Record created on 2012-06-12, modified on 2016-08-09