Pattern Recognition Letters - Speciqal issue: Ultrasonic image processing and analysis
An Adaptive Fuzzy Segmentation Algorithm for Three-Dimensional Magnetic Resonance Images
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
Adapted method for separating kinetic SZ signal from primary CMB fluctuations
EURASIP Journal on Applied Signal Processing
An efficient layered data compression scheme with constraint analysis
Mathematics and Computers in Simulation
Robust diffeomorphic mapping via geodesically controlled active shapes
Journal of Biomedical Imaging
| Hi-index | 0.00 |
We consider a general weighted least squares approximation problem with a membrane spline regularization term. The key parameters in this formulation are the weighting factors which provide the possibility of a spatial adaptation. We prove that the corresponding space-varying variational problem is well posed, and propose a novel multigrid computational solution. This multiresolution relaxation scheme uses three image pyramids (input data, weights, and current solution) and allows for a very efficient computation with an effective O(N) complexity, where N is the number of pixels. This general multigrid solver can be useful for a variety of image processing tasks. In particular, we propose new multigrid solutions for noise reduction in images (adaptive smoothing spline), interpolation/reconstruction of missing image data, and image segmentation using an adaptive extension of the K-means clustering algorithm.