Beyond euclid: An illustrated guide to modern machine learning with geometric, topological, and algebraic structures

S Sanborn, J Mathe, M Papillon, D Buracas… - arXiv preprint arXiv …, 2024 - arxiv.org
The enduring legacy of Euclidean geometry underpins classical machine learning, which,
for decades, has been primarily developed for data lying in Euclidean space. Yet, modern …

Automated model-based vertebra detection, identification, and segmentation in CT images

T Klinder, J Ostermann, M Ehm, A Franz, R Kneser… - Medical image …, 2009 - Elsevier
For many orthopaedic, neurological, and oncological applications, an exact segmentation of
the vertebral column including an identification of each vertebra is essential. However …

A review of methods for quantitative evaluation of axial vertebral rotation

T Vrtovec, F Pernuš, B Likar - European Spine Journal, 2009 - Springer
Quantitative evaluation of axial vertebral rotation is essential for the determination of
reference values in normal and pathological conditions and for understanding the …

[图书][B] Statistical shape models: understanding and mastering variation in anatomy

In our chapter we are describing how to reconstruct three-dimensional anatomy from
medical image data and how to build Statistical 3D Shape Models out of many such …

Cascaded statistical shape model based segmentation of the full lower limb in CT

EA Audenaert, J Van Houcke, DF Almeida… - Computer methods in …, 2019 - Taylor & Francis
Image segmentation has become an important tool in orthopedic and biomechanical
research. However, it greatly remains a time-consuming and laborious task. In this …

Spine detection in CT and MR using iterated marginal space learning

BM Kelm, M Wels, SK Zhou, S Seifert, M Suehling… - Medical image …, 2013 - Elsevier
Examinations of the spinal column with both, Magnetic Resonance (MR) imaging and
Computed Tomography (CT), often require a precise three-dimensional positioning …

Cortical sulci recognition and spatial normalization

M Perrot, D Rivière, JF Mangin - Medical image analysis, 2011 - Elsevier
Brain mapping techniques pair similar anatomical information across individuals. In this
context, spatial normalization is mainly used to reduce inter-subject differences to improve …

Nonrigid 2D/3D registration of coronary artery models with live fluoroscopy for guidance of cardiac interventions

D Rivest-Henault, H Sundar… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
A 2D/3D nonrigid registration method is proposed that brings a 3D centerline model of the
coronary arteries into correspondence with bi-plane fluoroscopic angiograms. The …

A statistical model for quantification and prediction of cardiac remodelling: Application to tetralogy of fallot

T Mansi, I Voigt, B Leonardi, X Pennec… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Cardiac remodelling plays a crucial role in heart diseases. Analyzing how the heart grows
and remodels over time can provide precious insights into pathological mechanisms …

The state-of-the-art in ultrasound-guided spine interventions

HE Gueziri, C Santaguida, DL Collins - Medical Image Analysis, 2020 - Elsevier
During the last two decades, intra-operative ultrasound (iUS) imaging has been employed
for various surgical procedures of the spine, including spinal fusion and needle injections …