Improved optimization methods for image registration problems

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Chen, Ke and Grapiglia, Geovani Nunes and Yuan, Jinyun and Zhang, Daoping (2019) Improved optimization methods for image registration problems. Numerical Algorithms, 80 (2). pp. 305-336. ISSN 1017-1398 (https://doi.org/10.1007/s11075-018-0486-2)

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Abstract

In this paper, we propose new multilevel optimization methods for minimizing continuously differentiable functions obtained by discretizing models for image registration problems. These multilevel schemes rely on a novel two-step Gauss-Newton method, in which a second step is computed within each iteration by minimizing a quadratic approximation of the objective function over a certain two-dimensional subspace. Numerical results on image registration problems show that the proposed methods can outperform the standard multilevel Gauss-Newton method.

ORCID iDs

Chen, Ke ORCID logoORCID: https://orcid.org/0000-0002-6093-6623, Grapiglia, Geovani Nunes, Yuan, Jinyun and Zhang, Daoping;
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