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arXiv 2109.13630eess.IVcs.CV

Unsupervised Diffeomorphic Surface Registration and Non-Linear Modelling

Medical Imaging Research Center, UZ Leuven(UZ Leuven医学成像研究中心);Department of Electrical Engineering, ESAT/PSI, KU Leuven(KU Leuven电气工程系(ESAT/PSI));Center for Craniofacial and Dental Genetics, Department of Oral and Craniofacial Sciences, University of Pittsburgh(匹兹堡大学口腔与颅面科学系颅面和牙科遗传学中心);Department of Computing, Imperial College London(帝国理工学院计算机系);IDSIA, USI Lugano(卢加诺大学IDSIA研究所);Twitter(推特公司);Department of Human Genetics, KU Leuven(KU Leuven人类遗传学系)

Balder Croquet, Daan Christiaens, Seth M. Weinberg, Michael Bronstein, Dirk Vandermeulen, Peter Claes

英文摘要:

Registration is an essential tool in image analysis. Deep learning based alternatives have recently become popular, achieving competitive performance at a faster speed. However, many contemporary techniques are limited to volumetric representations, despite increased popularity of 3D surface and shape data in medical image analysis. We propose a one-step registration model for 3D surfaces that internalises a lower dimensional probabilistic deformation model (PDM) using conditional variational autoencoders (CVAE). The deformations are constrained to be diffeomorphic using an exponentiation layer. The one-step registration model is benchmarked against iterative techniques, trading in a slightly lower performance in terms of shape fit for a higher compactness. We experiment with two distance metrics, Chamfer distance (CD) and Sinkhorn divergence (SD), as specific distance functions for surface data in real-world registration scenarios. The internalised deformation model is benchmarked against linear principal component analysis (PCA) achieving competitive results and improved generalisability from lower dimensions.

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