A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Machine Vision and Applications
Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
Journal of Computational and Applied Mathematics
Multisensor image fusion using the wavelet transform
Graphical Models and Image Processing
How fast the Laplace equation was solved in 1995
Applied Numerical Mathematics
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Multigrid
An Algebraic Multigrid Approach for Image Analysis
SIAM Journal on Scientific Computing
The steerable pyramid: a flexible architecture for multi-scale derivative computation
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol. 3)-Volume 3 - Volume 3
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Matrix-Based Multigrid: Theory and Applications
Matrix-Based Multigrid: Theory and Applications
Multigrid anisotropic diffusion
IEEE Transactions on Image Processing
An efficient layered data compression scheme with constraint analysis
Mathematics and Computers in Simulation
| Hi-index | 0.00 |
A second order partial differential operator is applied to an image function. By using a multigrid operator known from the so-called approximation property, we derive a new type of multiresolution decomposition of the image. As an example, the Poisson case is treated in-depth. Using the new transform we devise an algorithm for image fusion. The actual recombination is performed on the image functions on which the partial differential operator has been applied first. A fusion example is elaborated upon. Other applications can be envisaged as well.