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Stochastically evolving geometric systems are studied in shape analysis and computational anatomy for modelling random evolutions of human organ shapes. The notion of geodesic paths between shapes is central to shape analysis and has a…

Numerical Analysis · Mathematics 2022-12-01 Alexis Arnaudon , Frank van der Meulen , Moritz Schauer , Stefan Sommer

Modeling stochastic and irregularly sampled time series is a challenging problem found in a wide range of applications, especially in medicine. Neural stochastic differential equations (Neural SDEs) are an attractive modeling technique for…

Machine Learning · Computer Science 2025-02-05 Xi Zhang , Yuan Pu , Yuki Kawamura , Andrew Loza , Yoshua Bengio , Dennis L. Shung , Alexander Tong

Purpose: Semantic segmentation and landmark detection are fundamental tasks of medical image processing, facilitating further analysis of anatomical objects. Although deep learning-based pixel-wise classification has set a…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Ron Keuth , Lasse Hansen , Maren Balks , Ronja Jäger , Anne-Nele Schröder , Ludger Tüshaus , Mattias Heinrich

Particle-based shape modeling (PSM) is a family of approaches that automatically quantifies shape variability across anatomical cohorts by positioning particles (pseudo landmarks) on shape surfaces in a consistent configuration. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Hong Xu , Shireen Y. Elhabian

Shape and texture are two prominent and complementary cues for recognizing objects. Nonetheless, Convolutional Neural Networks are often biased towards either texture or shape, depending on the training dataset. Our ablation shows that such…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Yingwei Li , Qihang Yu , Mingxing Tan , Jieru Mei , Peng Tang , Wei Shen , Alan Yuille , Cihang Xie

Quantification of anatomical shape changes currently relies on scalar global indexes which are largely insensitive to regional or asymmetric modifications. Accurate assessment of pathology-driven anatomical remodeling is a crucial step for…

We present a novel resizing module for neural networks: shape adaptor, a drop-in enhancement built on top of traditional resizing layers, such as pooling, bilinear sampling, and strided convolution. Whilst traditional resizing layers have…

Machine Learning · Computer Science 2020-08-11 Shikun Liu , Zhe Lin , Yilin Wang , Jianming Zhang , Federico Perazzi , Edward Johns

We propose Geometric Neural Parametric Models (GNPM), a learned parametric model that takes into account the local structure of data to learn disentangled shape and pose latent spaces of 4D dynamics, using a geometric-aware architecture on…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Mirgahney Mohamed , Lourdes Agapito

We extend the Locally-Subdivided Neural Intersection Function (LSNIF) to support parameterized deformable and animated geometry. Our approach introduces a rest-space and deformed-space formulation inspired by meshless rendering, allowing…

Graphics · Computer Science 2026-04-28 Chih-Chen Kao , Grzegorz Makowski , Shin Fujieda , Takahiro Harada

Recently, studies on machine learning have focused on methods that use symmetry implicit in a specific manifold as an inductive bias. Grassmann manifolds provide the ability to handle fundamental shapes represented as shape spaces, enabling…

Machine Learning · Computer Science 2023-12-06 Ryoma Yataka , Kazuki Hirashima , Masashi Shiraishi

Light sheet fluorescence microscopy (LSM) enables high-resolution, three-dimensional (3D) imaging of biological specimens, providing rich volumetric data for studying cellular organization, pathology, and vascular networks. However, the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Adina Scheinfeld , Haotan Zhang , Shang Mu , Rudolf L. M. van Herten , Lucas Stoffl , Ali Erturk , Zhuhao Wu , Johannes C. Paetzold

Pixel-aligned implicit models, such as PIFu, PIFuHD, and ICON, are used for single-view clothed human reconstruction. These models need to be trained using a sampling training scheme. Existing sampling training schemes either fail to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Kennard Yanting Chan , Fayao Liu , Guosheng Lin , Chuan Sheng Foo , Weisi Lin

We propose two deep learning models that fully automate shape parameterization for aerodynamic shape optimization. Both models are optimized to parameterize via deep geometric learning to embed human prior knowledge into learned geometric…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Zhen Wei , Pascal Fua , Michaël Bauerheim

This paper presents a shape-theoretic framework for dynamical analysis of nonlinear dynamical systems which appear frequently in several video-based inference tasks. Traditional approaches to dynamical modeling have included linear and…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Vinay Venkataraman , Pavan Turaga

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

In this paper we describe a general probabilistic framework for modeling waveforms such as heartbeats from ECG data. The model is based on segmental hidden Markov models (as used in speech recognition) with the addition of random effects to…

Applications · Statistics 2012-07-19 Seyoung Kim , Padhraic Smyth , Stefan Luther

There is increasing evidence on the importance of brain morphology in predicting and classifying mental disorders. However, the vast majority of current shape approaches rely heavily on vertex-wise analysis that may not successfully capture…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Yuexuan Wu , Suprateek Kundu , Jennifer S. Stevens , Negar Fani , Anuj Srivastava

Sampling from unnormalized densities presents a fundamental challenge with wide-ranging applications, from posterior inference to molecular dynamics simulations. Continuous flow-based neural samplers offer a promising approach, learning a…

Machine Learning · Computer Science 2025-07-22 Wuhao Chen , Zijing Ou , Yingzhen Li

Soft object manipulation has recently gained popularity within the robotics community due to its potential applications in many economically important areas. Although great progress has been recently achieved in these types of tasks, most…

Robotics · Computer Science 2021-10-20 Peng Zhou , Jihong Zhu , Shengzeng Huo , David Navarro-Alarcon

Many random growth models have the property that the set of discovered sites, scaled properly, converges to some deterministic set as time grows. Such results are known as shape theorems. Typically, not much is known about the shapes. For…

Machine Learning · Statistics 2020-06-26 Sebastian Rosengren