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Tumor shape is a key factor that affects tumor growth and metastasis. This paper proposes a topological feature computed by persistent homology to characterize tumor progression from digital pathology and radiology images and examines its…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Chul Moon , Qiwei Li , Guanghua Xiao

Automatic labelling of anatomical structures, such as coronary arteries, is critical for diagnosis, yet existing (non-deep learning) methods are limited by a reliance on prior topological knowledge of the expected tree-like structures. As…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Yadan Li , Mohammad Ali Armin , Simon Denman , David Ahmedt-Aristizabal

Topological correctness is critical for segmentation of tubular structures, which pervade in biomedical images. Existing topological segmentation loss functions are primarily based on the persistent homology of the image. They match the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Bo Wen , Haochen Zhang , Dirk-Uwe G. Bartsch , William R. Freeman , Truong Q. Nguyen , Cheolhong An

Cardiac motion analysis from B-mode ultrasound sequence is a key task in assessing the health of the heart. The paper proposes a new methodology for cardiac motion analysis based on the temporal behaviour of points of interest on the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 V S R Veeravasarapu , Jayanthi Sivaswamy , Vishanji Karani

Blood vessel segmentation and -tracing are essential tasks in many medical imaging applications. Although numerous methods exist, the prevailing segment-then-fix paradigm is fundamentally limited regarding its suitability for modeling the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Rajalakshmi Palaniappan , Christoph Karg , Nemesio Navarro-Arambula , Peter Hirsch , Kristin Kraeker , Lisa Mais , Dagmar Kainmueller

The ability to map left ventricle (LV) myocardial motion using computed tomography angiography (CTA) is essential to diagnosing cardiovascular conditions and guiding interventional procedures. Due to their inherent locality, conventional…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Shahar Zuler , Shai Tejman-Yarden , Dan Raviv

We propose a novel method for non-rigid 3-D motion correction of orthogonally raster-scanned optical coherence tomography angiography volumes. This is the first approach that aligns predominantly axial structural features like retinal…

The anisotropic 2-point correlation function (2PCF) of galaxies measures pairwise clustering as a function of the pair separation's angle to the line of sight. The latter is often defined as either the angle bisector of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-19 Zachary Slepian , Daniel J. Eisenstein

Atrial Fibrillation is a heart condition characterized by erratic heart rhythms caused by chaotic propagation of electrical impulses in the atria, leading to numerous health complications. State-of-the-art models employ complex algorithms…

Quantitative Methods · Quantitative Biology 2019-12-02 Paul Samuel Ignacio , David Uminsky , Christopher Dunstan , Esteban Escobar , Luke Trujillo

Despite coronary artery calcium scoring being considered a largely solved problem within the realm of medical artificial intelligence, this paper argues that significant improvements can still be made. By shifting the focus from pathology…

Semantic segmentation using convolutional neural networks (CNNs) is the state-of-the-art for many medical segmentation tasks including left ventricle (LV) segmentation in cardiac MR images. However, a drawback is that these CNNs lack…

Image and Video Processing · Electrical Eng. & Systems 2022-08-18 Sofie Tilborghs , Tom Dresselaers , Piet Claus , Jan Bogaert , Frederik Maes

Deformable shape modeling approaches that describe objects in terms of their medial axis geometry (e.g., m-reps [Pizer et al., 2003]) yield rich geometrical features that can be useful for analyzing the shape of sheet-like biological…

Graphics · Computer Science 2019-03-04 Paul A. Yushkevich , Ahmed Aly , Jiancong Wang , Long Xie , Robert C. Gorman , Laurent Younes , Alison Pouch

Recent developments in computer vision have enabled the availability of segmented images across various domains, such as medicine, where segmented radiography images play an important role in diagnosis-making. As prediction problems are…

Methodology · Statistics 2025-08-22 Issam-Ali Moindjié , Marie-Hélène Descary , Cédric Beaulac

The tensorial curvature measures are tensor-valued generalizations of the curvature measures of convex bodies. We prove a set of Crofton formulae for such tensorial curvature measures. These formulae express the integral mean of the…

Metric Geometry · Mathematics 2016-07-15 Daniel Hug , Jan A. Weis

Tensor regression models, such as CP regression and Tucker regression, have many successful applications in neuroimaging analysis where the covariates are of ultrahigh dimensionality and possess complex spatial structures. The…

Machine Learning · Computer Science 2020-10-29 Da Xu

We present measurements of cosmic shear two-point correlation functions (TPCFs) from Hyper Suprime-Cam Subaru Strategic Program (HSC SSP) first-year data, and derived cosmological constraints based on a blind analysis. The HSC first-year…

Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research. Here we showcase…

Segmentation networks are not explicitly imposed to learn global invariants of an image, such as the shape of an object and the geometry between multiple objects, when they are trained with a standard loss function. On the other hand,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Seher Ozcelik , Sinan Unver , Ilke Ali Gurses , Rustu Turkay , Cigdem Gunduz-Demir

Image feature matching plays a vital role in many computer vision tasks. Although many image feature detection and matching techniques have been proposed over the past few decades, it is still time-consuming to match feature points in two…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Chin-Hung Teng , Ben-Jian Dong

We present a model for the intrinsic alignment contamination of the shear three-point correlation function and skewness of the mass aperture statistic using the tidal alignment and tidal torquing (TATT) formalism. We compute the intrinsic…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Rafael C. H. Gomes , Kyle Miller , Sunao Sugiyama , Jonathan Blazek , Thomas Bakx , Bhuvnesh Jain