Accession Number:

ADA433580

Title:

Polyharmonic Smoothing Splines for Multi-Dimensional Signals with 1/W - Like Spectra

Descriptive Note:

Conference paper

Corporate Author:

SWISS FEDERAL INST OF TECHNOLOGY LAUSANNE (SWITZERLAND)

Report Date:

2005-01-07

Pagination or Media Count:

5.0

Abstract:

Motivated by the fractal-like behavior of natural images, we propose a new smoothing technique that uses a regularization functional which is a fractional iterate of the Laplacian. This type of functional has previously been introduced by Duchon in the context of radial basis functions RBFs for the approximation of non-uniform data. Here, we introduce a new solution to Duchons smoothing problem in multiple dimensions using non-separable fractional polyharmonic B-splines. The smoothing is performed in the Fourier domain by filtering, thereby making the algorithm fast enough for most multi-dimensional real-time applications.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE