A multigrid approach to image processing
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.
|Keywords||Image fusion, Laplace equation, Laplacian pyramid, multigrid fusion algorithm, multigrid image decomposition, multigrid image transform, multigrid methods, multiresolution|
|Editor||R. Kimmel , N. Sochen , J. Weickert|
|Series||Lecture Notes in Computer Science|
de Zeeuw, P.M. (2005). A multigrid approach to image processing. In R Kimmel, N Sochen, & J Weickert (Eds.), Scale Space and PDE Methods in Computer Vision (pp. 396–407). Springer.