Solid: a novel similarity metric for mono-modal and multi-modal deformable image registration

Paris Tzitzimpasis, Cornel Zachiu, Bas W Raaymakers, Mario G Ries

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Medical image registration is an integral part of various clinical applications including image guidance, motion tracking, therapy assessment and diagnosis. We present a robust approach for mono-modal and multi-modal medical image registration. To this end, we propose the novel shape operator based local image distance (SOLID) which estimates the similarity of images by comparing their second-order curvature information. Our similarity metric is rigorously tailored to be suitable for comparing images from different medical imaging modalities or image contrasts. A critical element of our method is the extraction of local features using higher-order shape information, enabling the accurate identification and registration of smaller structures. In order to assess the efficacy of the proposed similarity metric, we have implemented a variational image registration algorithm that relies on the principle of matching the curvature information of the given images. The performance of the proposed algorithm has been evaluated against various alternative state-of-the-art variational registration algorithms. Our experiments involve mono-modal as well as multi-modal and cross-contrast co-registration tasks in a broad variety of anatomical regions. Compared to the evaluated alternative registration methods, the results indicate a very favorable accuracy, precision and robustness of the proposed SOLID method in various highly challenging registration tasks.

Original languageEnglish
Article number015020
Pages (from-to)1-13
Number of pages13
JournalPhysics in medicine and biology
Issue number1
Early online date4 Dec 2023
Publication statusPublished - 7 Jan 2024


  • curvature
  • image registration
  • multi-modal
  • second fundamental form
  • similarity metric


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