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Statistical shape analysis is a very useful tool in a wide range of medical and biological applications. However, it typically relies on the ability to produce a relatively small number of features that can capture the relevant variability…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Riddhish Bhalodia , Ladislav Kavan , Ross Whitaker

Statistical shape models (SSMs) are a popular tool to conduct morphological analysis of anatomical structures which is a crucial step in clinical practices. However, shape representations through SSMs are based on shape coefficients and…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Arnaud Boutillon , Asma Salhi , Valérie Burdin , Bhushan Borotikar

Statistical shape analysis is a powerful tool to assess organ morphologies and find shape changes associated to a particular disease. However, imbalance in confounding factors, such as demographics might invalidate the analysis if not taken…

Probabilistic models often have parameters that can be translated, scaled, permuted, or otherwise transformed without changing the model. These symmetries can lead to strong correlation and multimodality in the posterior distribution over…

Machine Learning · Statistics 2013-12-20 Robert Nishihara , Thomas Minka , Daniel Tarlow

We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probing Field (LPF), which describes how a local probing operator…

Computational Geometry · Computer Science 2017-11-03 Julie Digne , Sébastien Valette , Raphaëlle Chaine

In many image analysis problems, the contours of objects carry important statistical information about shape. Such contours are typically affected by deformation variables including scaling, translation, rotation, and reparametrization.…

Methodology · Statistics 2026-05-26 Issam-Ali Moindjié , Cédric Beaulac , Marie-Hélène Descary

Statistical shape modeling (SSM) directly from 3D medical images is an underutilized tool for detecting pathology, diagnosing disease, and conducting population-level morphology analysis. Deep learning frameworks have increased the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Jadie Adams , Shireen Elhabian

Correspondence-based shape models are key to various medical imaging applications that rely on a statistical analysis of anatomies. Such shape models are expected to represent consistent anatomical features across the population for…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Praful Agrawal , Ross T. Whitaker , Shireen Y. Elhabian

The classification of shapes is of great interest in diverse areas ranging from medical imaging to computer vision and beyond. While many statistical frameworks have been developed for the classification problem, most are strongly tied to…

Machine Learning · Statistics 2019-01-24 Min Ho Cho , Sebastian Kurtek , Steven N. MacEachern

Estimating the body shape and posture of a dressed human subject in motion represented as a sequence of (possibly incomplete) 3D meshes is important for virtual change rooms and security. To solve this problem, statistical shape spaces…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Stefanie Wuhrer , Leonid Pishchulin , Alan Brunton , Chang Shu , Jochen Lang

Copying an element from a photo and pasting it into a painting is a challenging task. Applying photo compositing techniques in this context yields subpar results that look like a collage --- and existing painterly stylization algorithms,…

Graphics · Computer Science 2018-06-28 Fujun Luan , Sylvain Paris , Eli Shechtman , Kavita Bala

Statistical methodology is proposed for comparing unlabeled marked point sets, with an application to aligning steroid molecules in chemoinformatics. Methods from statistical shape analysis are combined with techniques for predicting random…

Applications · Statistics 2012-03-02 Irina Czogiel , Ian L. Dryden , Christopher J. Brignell

Clinical investigations of anatomy's structural changes over time could greatly benefit from population-level quantification of shape, or spatiotemporal statistic shape modeling (SSM). Such a tool enables characterizing patient organ cycles…

Machine Learning · Computer Science 2022-09-08 Jadie Adams , Nawazish Khan , Alan Morris , Shireen Elhabian

This paper proposes a novel framework for multi-group shape analysis relying on a hierarchical graphical statistical model on shapes within a population.The framework represents individual shapes as point setsmodulo translation, rotation,…

Computer Vision and Pattern Recognition · Computer Science 2013-01-11 Yen-Yun Yu , P. Thomas Fletcher , Suyash P. Awate

Particle-based shape modeling (PSM) is a popular approach to automatically quantify shape variability in populations of anatomies. The PSM family of methods employs optimization to automatically populate a dense set of corresponding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Hong Xu , Shireen Y. Elhabian

Past approaches for statistical shape analysis of objects have focused mainly on objects within the same topological classes, e.g., scalar functions, Euclidean curves, or surfaces, etc. For objects that differ in more complex ways, the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-18 Xiaoyang Guo , Anuj Srivastava

This paper addresses the problem of 3D human body shape and pose estimation from RGB images. Some recent approaches to this task predict probability distributions over human body model parameters conditioned on the input images. This is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Akash Sengupta , Ignas Budvytis , Roberto Cipolla

Statistical shape modeling (SSM) is a valuable and powerful tool to generate a detailed representation of complex anatomy that enables quantitative analysis and the comparison of shapes and their variations. SSM applies mathematics,…

Image and Video Processing · Electrical Eng. & Systems 2022-09-14 Krithika Iyer , Alan Morris , Brian Zenger , Karthik Karanth , Benjamin A Orkild , Oleksandre Korshak , Shireen Elhabian

Procrustes Analysis is a Morphometric method based on Configurations of Landmarks that estimates the superimposition parameters by least-squares; for this reason, the procedure is very sensitive to outliers. In the first part of the paper…

Applications · Statistics 2017-03-16 A. Garcia-Perez , M. A. Cabrero-Ortega

A critical step in data analysis for many different types of experiments is the identification of features with theoretically defined shapes in N-dimensional datasets; examples of this process include finding peaks in multi-dimensional…

Data Analysis, Statistics and Probability · Physics 2022-08-25 Korak Kumar Ray , Anjali R. Verma , Ruben L. Gonzalez , Colin D. Kinz-Thompson
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