
doi: 10.1007/11408031_34
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.
multigrid fusion algorithm, multiresolution, Image fusion, multigrid image decomposition, multigrid methods, Laplace equation, multigrid image transform, Laplacian pyramid
multigrid fusion algorithm, multiresolution, Image fusion, multigrid image decomposition, multigrid methods, Laplace equation, multigrid image transform, Laplacian pyramid
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