Fractional Laplacian Pyramids

We provide an extension of the L2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation. Finally, we illustrate the potentials of our pyramid by performing an estimation of the parameters of multivariate fractal processes.

• Type: Conference
• Year: 2009
• Where: ICIP
• Keywords: Corresponding Error Pyramid, ICIP 2009, Image Processing, Multi-scale Laplace Operator, Multivariate Fractal Processes