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Recent Developments of an Optimal Control Approach to Nonrigid Image Registration

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Biomedical Image Registration (WBIR 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13386))

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Abstract

The Variational Principle (VP) forms diffeomorphisms (non-folding grids) with prescribed Jacobian determinant (JD) and curl under an optimal control set-up, which satisfies the properties of a Lie group. To take advantage of that, it is meaningful to regularize the resulting deformations of the image registration problem into the solution pool of VP. In this research note, (1) we provide an optimal control formulation of the image registration problem under a similar optimal control set-up as is VP; (2) numerical examples demonstrate the confirmation of diffeomorphic solutions as expected.

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References

  1. Zhou, Z., Liao, G.: Construction of diffeomorphisms with prescribed jacobian determinant and curl. In: International Conference on Geometry and Graphics, Proceedings (2022). (in press)

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  2. Zhou, Z., Liao, G.: A novel approach to form Normal Distribution of Medical Image Segmentation based on multiple doctors\(^{\prime }\) annotations. In: Proceedings of SPIE 12032, Medical Imaging 2022: Image Processing, p. 1203237 (2022). https://doi.org/10.1117/12.2611973

  3. Zhou, Z.: Image Analysis Based on Differential Operators with Applications to Brain MRIs, Ph.D. Dissertation, University of Texas at Arlington (2019)

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Correspondence to Zicong Zhou .

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Zhou, Z., Liao, G. (2022). Recent Developments of an Optimal Control Approach to Nonrigid Image Registration. In: Hering, A., Schnabel, J., Zhang, M., Ferrante, E., Heinrich, M., Rueckert, D. (eds) Biomedical Image Registration. WBIR 2022. Lecture Notes in Computer Science, vol 13386. Springer, Cham. https://doi.org/10.1007/978-3-031-11203-4_22

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  • DOI: https://doi.org/10.1007/978-3-031-11203-4_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-11202-7

  • Online ISBN: 978-3-031-11203-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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