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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Non-Linear Registration Based on Mutual Information

Non-Linear Registration Based on Mutual Information

Heldmann, Stefan

Paperback

General Mathematics

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ISBN10: 3832514813
ISBN13: 9783832514815
Publisher: Logos Verlag Berlin
Published: Mar 15 2007
Pages: 183
Weight: 0.80
Height: 0.48 Width: 6.70 Depth: 9.46
Language: English
Mutual Information belongs to the most popular and powerful tools for multi-modal image registration. Nevertheless, its handling is involved, and despite a wide spread use in a large number of applications no standard treatment exists. Here, we present both theory and numerics for non-linear image registration based on mutual information. Building on a non-standard analysis of mutual information from the perspective of measure and integration theory, we develop PDE and optimization based registration methods. Crucial for the numerical schemes are efficient computation of mutual information and fast solving of the arising large linear systems. Addressing these points, we consider non-equispaced Fourier transforms and B-Splines techniques for the approximation of densities and develop fast FFT and multigrid solvers. Finally, we demonstrate the performance of the proposed methods in an application for the registration of 3D PET and CT images.

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