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Vessel-based fast deformable registration with minimal strain energy

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Abstract

Purpose

Image registration for internal organs and soft tissues is considered extremely challenging due to organ shifts and tissue deformation caused by patients’ movements such as respiration and repositioning. In this paper, we propose a fast deformable image registration method. The purpose of our work is to greatly improve the registration time while maintaining the registration accuracy.

Methods

In this study, we formulate the deformable image registration problem as a quadratic optimization problem that minimizes strain energy subject to the constraints of 3D curves of blood vessel centerlines and point marks. The proposed method does not require iteration and is local minimum free. By using 2nd order B-splines to model the blood vessels in the moving image and a new transformation model, our method provides a closed-form solution that imitates the manner in which physical soft tissues deform, thus guarantees a physically consistent match.

Results

We have demonstrated the effectiveness of our deformable technique in registering MR images of the liver. Validation results show that we can achieve a target registration error (TRE) of 1.29 mm and an average centerline distance error (ACD) of 0.84 ± 0.55 mm.

Conclusions

This technique has the potential to significantly improve registration capabilities and the quality of intraoperative image guidance. To the best of our knowledge, this is the first time that a global analytical solution has been determined for the registration energy function with 3D curve constraints.

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Authors and Affiliations

  1. Sulon Technologies Inc., 226 Esna Park Dr., Markham, ON, Canada

    Xishi Huang

  2. Canada University of Ontario Institute of Technology, Ontario, Canada

    Jing Ren, Anwar Abdalbari & Mark Green

Authors
  1. Xishi Huang
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  2. Jing Ren
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  3. Anwar Abdalbari
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  4. Mark Green
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Correspondence to Jing Ren.

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Huang, X., Ren, J., Abdalbari, A. et al. Vessel-based fast deformable registration with minimal strain energy. Biomed. Eng. Lett. 6, 47–55 (2016). https://doi.org/10.1007/s13534-016-0213-7

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  • DOI: https://doi.org/10.1007/s13534-016-0213-7

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