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Sphere packings are essential to the development of physical models for powders, composite materials, and the atomic structure of the liquid state. There is a strong scientific need to be able to assess the fit of packing models to data,…

Methodology · Statistics 2009-10-31 Jeffrey Picka

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

We propose and demonstrate a joint model of anatomical shapes, image features and clinical indicators for statistical shape modeling and medical image analysis. The key idea is to employ a copula model to separate the joint dependency…

Image and Video Processing · Electrical Eng. & Systems 2019-09-10 Bernhard Egger , Markus D. Schirmer , Florian Dubost , Marco J. Nardin , Natalia S. Rost , Polina Golland

In this paper, we present a practical approach to improve anatomical shape accuracy in whole-body medical segmentation. Our analysis shows that a shape-focused toolkit can enhance segmentation performance by over 8%, without the need for…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Junqi Liu , Dongli He , Wenxuan Li , Ningyu Wang , Alan L. Yuille , Zongwei Zhou

Guaranteeing that Fr\'echet means of object populations do not locally self-intersect or are thereby affected is a serious challenge for object representations because the objects' shape space typically includes elements corresponding to…

Methodology · Statistics 2025-01-03 Mohsen Taheri , Stephen M. Pizer , Jörn Schulz

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that…

Functional Analysis · Mathematics 2017-10-11 Daniel Schmitter , Julien Fageot , Anaïs Badoual , Pablo Garcia-Amorena , Michael Unser

In this work, we propose a detailed computational framework for modelling the envelope of the swept volume, that is the boundary of the volume obtained by sweeping an input solid along a trajectory of rigid motions. Our framework is adapted…

Computational Geometry · Computer Science 2013-06-03 Bharat Adsul , Jinesh Machchhar , Milind Sohoni

Statistical shape modeling (SSM) is an enabling quantitative tool to study anatomical shapes in various medical applications. However, directly using 3D images in these applications still has a long way to go. Recent deep learning methods…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Abu Zahid Bin Aziz , Jadie Adams , Shireen Elhabian

We address the problem of estimating human pose and body shape from 3D scans over time. Reliable estimation of 3D body shape is necessary for many applications including virtual try-on, health monitoring, and avatar creation for virtual…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 Chao Zhang , Sergi Pujades , Michael Black , Gerard Pons-Moll

Statistical shape models (SSMs) are an established way to represent the anatomy of a population with various clinically relevant applications. However, they typically require domain expertise, and labor-intensive landmark annotations to…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Lennart Bastian , Alexander Baumann , Emily Hoppe , Vincent Bürgin , Ha Young Kim , Mahdi Saleh , Benjamin Busam , Nassir Navab

In recent years, more and more attention has been paid to the learning of 3D human representation. However, the complexity of lots of hand-defined human body constraints and the absence of supervision data limit that the existing works…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Lu Wang , Xishuai Peng , S. Kevin Zhou

Large scale models of physical phenomena demand the development of new statistical and computational tools in order to be effective. Many such models are `sloppy', i.e., exhibit behavior controlled by a relatively small number of parameter…

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from the shape by applying a multiscale approach to the calculus of the fractal dimension of that shape. The fractal…

Data Analysis, Statistics and Probability · Physics 2015-06-03 André R. Backes , João B. Florindo , Odemir M. Bruno

Realtime shape estimation of continuum objects and manipulators is essential for developing accurate planning and control paradigms. The existing methods that create dense point clouds from camera images, and/or use distinguishable markers…

Robotics · Computer Science 2024-10-23 Jiaming Zhang , Zhaomeng Zhang , Yihao Liu , Yaqian Chen , Amir Kheradmand , Mehran Armand

We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation arises typically in a biomedical context where inverse problems…

Numerical Analysis · Mathematics 2023-03-14 Felipe Galarce , Damiano Lombardi , Olga Mula

This paper presents deformable templates as a tool for segmentation and localization of biological structures in medical images. Structures are represented by a prototype template, combined with a parametric warp mapping used to deform the…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Jonathan M. Spiller , T. Marwala

As the population continues to age, a shortage of caregivers is expected in the future. Dressing assistance, in particular, is crucial for opportunities for social participation. Especially dressing close-fitting garments, such as socks,…

Robotics · Computer Science 2026-01-27 Takuma Tsukakoshi , Tamon Miyake , Tetsuya Ogata , Yushi Wang , Takumi Akaishi , Shigeki Sugano

Traditional machine learning (ML) algorithms, such as multiple regression, require human analysts to make decisions on how to treat the data. These decisions can make the model building process subjective and difficult to replicate for…

Machine Learning · Computer Science 2022-01-31 William Franz Lamberti

Controlling the shape of deformable linear objects using robots and constraints provided by environmental fixtures has diverse industrial applications. In order to establish robust contacts with these fixtures, accurate estimation of the…

Robotics · Computer Science 2024-01-31 Kejia Chen , Zhenshan Bing , Yansong Wu , Fan Wu , Liding Zhang , Sami Haddadin , Alois Knoll

We present a new object representation, called Dense RepPoints, that utilizes a large set of points to describe an object at multiple levels, including both box level and pixel level. Techniques are proposed to efficiently process these…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Ze Yang , Yinghao Xu , Han Xue , Zheng Zhang , Raquel Urtasun , Liwei Wang , Stephen Lin , Han Hu
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