A fast full multigrid solver for applications in image processing

Stürmer M, Köstler H, Rüde U (2008)

Publication Type: Journal article, Original article

Publication year: 2008


Publisher: Wiley-Blackwell

Book Volume: 15

Pages Range: 187-200

URI: http://onlinelibrary.wiley.com/doi/10.1002/nla.703/pdf

DOI: 10.1002/nla.563


We present a fast, cell-centered multigrid solver and apply it to image denoising and non-rigid diffusion- based image registration. In both applications, real-time performance is required in 3D and the multigrid method has to be compared with solvers based on fast Fourier transform (FFT). The optimization of the underlying variational approach results for image denoising directly in one time step of a parabolic linear heat equation, for image registration a non-linear second-order system of partial differential equations is obtained. This system is solved by a fixpoint iteration using a semi-implicit time discretization, where each time step again results in an elliptic linear heat equation. The multigrid implementation comes close to real-time performance for medium size medical images in 3D for both applications and is compared with a solver based on FFT using available libraries. Copyright © 2008 John Wiley & Sons, Ltd.

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Stürmer, M., Köstler, H., & Rüde, U. (2008). A fast full multigrid solver for applications in image processing. Numerical Linear Algebra With Applications, 15, 187-200. https://doi.org/10.1002/nla.563


Stürmer, Markus, Harald Köstler, and Ulrich Rüde. "A fast full multigrid solver for applications in image processing." Numerical Linear Algebra With Applications 15 (2008): 187-200.

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