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In medical imaging, most of the image registration methods implicitly assume a one-to-one correspondence between the source and target images (i.e., diffeomorphism). However, this is not necessarily the case when dealing with pathological…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Matthis Maillard , Anton François , Joan Glaunès , Isabelle Bloch , Pietro Gori

We describe a diffeomorphic registration algorithm that allows groups of images to be accurately aligned to a common space, which we intend to incorporate into the SPM software. The idea is to perform inference in a probabilistic graphical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mikael Brudfors , Yaël Balbastre , Guillaume Flandin , Parashkev Nachev , John Ashburner

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

The use of supervised deep learning techniques to detect pathologies in brain MRI scans can be challenging due to the diversity of brain anatomy and the need for annotated data sets. An alternative approach is to use unsupervised anomaly…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Finn Behrendt , Debayan Bhattacharya , Julia Krüger , Roland Opfer , Alexander Schlaefer

We propose a novel learnable representation for detail-preserving shape deformation. The goal of our method is to warp a source shape to match the general structure of a target shape, while preserving the surface details of the source. Our…

Graphics · Computer Science 2020-03-20 Wang Yifan , Noam Aigerman , Vladimir G. Kim , Siddhartha Chaudhuri , Olga Sorkine-Hornung

Unsupervised anomaly detection (UAD) based on deep generative modelling has been increasingly explored for identifying pathological brain abnormalities without requiring voxel-level annotations. By learning the distribution of healthy…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Youwan Mahé , Elise Bannier , Stéphanie Leplaideur , Elisa Fromont , Francesca Galassi

Traditional methods for high-dimensional diffeomorphic mapping often struggle with the curse of dimensionality. We propose a mesh-free learning framework designed for $n$-dimensional mapping problems, seamlessly combining variational…

Machine Learning · Computer Science 2025-11-05 Zhiwen Li , Cheuk Hin Ho , Lok Ming Lui

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the contributions of the Intelligent Systems for Medicine…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 K. Miller , G. R. Joldes , G. Bourantas , S. K. Warfield , D. E. Hyde , R. Kikinis , A. Wittek

Deep Implicit Functions (DIFs) represent 3D geometry with continuous signed distance functions learned through deep neural nets. Recently DIFs-based methods have been proposed to handle shape reconstruction and dense point correspondences…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shanlin Sun , Kun Han , Deying Kong , Hao Tang , Xiangyi Yan , Xiaohui Xie

Conventional deformable registration methods aim at solving an optimization model carefully designed on image pairs and their computational costs are exceptionally high. In contrast, recent deep learning based approaches can provide fast…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Risheng Liu , Zi Li , Xin Fan , Chenying Zhao , Hao Huang , Zhongxuan Luo

This paper presents a novel method, named geodesic deformable networks (GDN), that for the first time enables the learning of geodesic flows of deformation fields derived from images. In particular, the capability of our proposed GDN being…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Nian Wu , Miaomiao Zhang

Human anatomy, morphology, and associated diseases can be studied using medical imaging data. However, access to medical imaging data is restricted by governance and privacy concerns, data ownership, and the cost of acquisition, thus…

Template estimation plays a crucial role in computational anatomy since it provides reference frames for performing statistical analysis of the underlying anatomical population variability. While building models for template estimation,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Akshay Pai , Stefan Sommer , Lars Lau Raket , Line Kühnel , Sune Darkner , Lauge Sørensen , Mads Nielsen

Measuring geometric similarity between high-dimensional network representations is a topic of longstanding interest to neuroscience and deep learning. Although many methods have been proposed, only a few works have rigorously analyzed their…

Machine Learning · Statistics 2023-12-12 Dean A. Pospisil , Brett W. Larsen , Sarah E. Harvey , Alex H. Williams

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

Neural shape models can represent complex 3D shapes with a compact latent space. When applied to dynamically deforming shapes such as the human hands, however, they would need to preserve temporal coherence of the deformation as well as the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Binbin Xu , Lingni Ma , Yuting Ye , Tanner Schmidt , Christopher D. Twigg , Steven Lovegrove

Statistical shape modeling is the computational process of discovering significant shape parameters from segmented anatomies captured by medical images (such as MRI and CT scans), which can fully describe subject-specific anatomy in the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Krithika Iyer , Shireen Elhabian

This paper introduces a 3D shape generative model based on deep neural networks. A new image-like (i.e., tensor) data representation for genus-zero 3D shapes is devised. It is based on the observation that complicated shapes can be well…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Heli Ben-Hamu , Haggai Maron , Itay Kezurer , Gal Avineri , Yaron Lipman

Accurate brain lesion delineation is important for planning neurosurgical treatment. Automatic brain lesion segmentation methods based on convolutional neural networks have demonstrated remarkable performance. However, neural network…

Image and Video Processing · Electrical Eng. & Systems 2024-08-20 Jiayu Huo , Sebastien Ourselin , Rachel Sparks