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. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
De Zeeuw, P. M. (2005). A multigrid approach to image processing. In Lecture Notes in Computer Science (Vol. 3459, pp. 396–407). Springer Verlag. https://doi.org/10.1007/11408031_34
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