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Statistical shape analysis of gravid uteri throughout pregnancy by a ray description technique

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Abstract

In order to study the anatomical variability of the uterus induced by pregnancy, a parametrization of gravid uterine geometry based on principal component analysis (PCA) is proposed. Corresponding meshes used for PCA are created by a ray description technique applied to a reference mesh. A smoothed voxel-based methodology is applied to determine the reference mesh from a database of 11 real shapes produced by the FEMONUM project. The ray-based correspondence technique is compared to two existing methods (He, Giessen) as well as a proposed mixed method. Principal component analysis results are based on a database of 11 existing shapes. Results of the parametrization show that 90% of the total variance of the database can be represented with four new shape parameters and that a wide spectrum of shapes can be generated.

Proposed correspondence technique compared to existing methods

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Funding

This work received funding from the European Regional Development Fund (ERDF) 2014-2020. This was carried out and funded in the framework of the Labex MS2T. It was supported by the French Government, through the program “Investments for the future” managed by the National Agency for Research (Reference ANR-11-IDEX-0004-02).

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Authors and Affiliations

  1. CNRS, Biomechanics and Bioengineering, Université de technologie de Compiègne, Centre de recherche Royallieu-CS 60319, 60203, Compiègne Cedex, France

    Jolanthe Verwaerde, Jérémy Laforet & Catherine Marque

  2. Laboratoire Roberval, Université de technologie de Compiègne, Centre de recherche Royallieu, CS 60319, 60203, Compiègne Cedex, France

    Alain Rassineux

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  1. Jolanthe Verwaerde
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  2. Jérémy Laforet
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Correspondence to Jolanthe Verwaerde.

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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Jolanthe Verwaerde, Alain Rassineux and Jérémy Laforet. The first draft of the manuscript was written by Jolanthe Verwaerde and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Verwaerde, J., Laforet, J., Marque, C. et al. Statistical shape analysis of gravid uteri throughout pregnancy by a ray description technique. Med Biol Eng Comput 59, 2165–2183 (2021). https://doi.org/10.1007/s11517-021-02402-1

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