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This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

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

In computer vision and medical imaging, the problem of matching structures finds numerous applications from automatic annotation to data reconstruction. The data however, while corresponding to the same anatomy, are often very different in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-24 Pierre-Louis Antonsanti , Joan Glaunès , Thomas Benseghir , Vincent Jugnon , Irène Kaltenmark

Active Shape Models (ASM) are an iterative segmentation technique to find a landmark-based contour of an object. In each iteration, a least-squares fit of a plausible shape to some detected target landmarks is determined. Finding these…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Alma Eguizabal , Peter J. Schreier

To date, the comparison of Statistical Shape Models (SSMs) is often solely performance-based, carried out by means of simplistic metrics such as compactness, generalization, or specificity. Any similarities or differences between the actual…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Maximilian Weiherer , Finn Klein , Bernhard Egger

Statistical Shape Models of faces and various body parts are heavily used in medical image analysis, computer vision and visualization. Whilst the field is well explored with many existing tools, all of them aim at experts, which limits…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Maximilian Hahn , Bernhard Egger

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

For the shape control of deformable free-form surfaces, simulation plays a crucial role in establishing the mapping between the actuation parameters and the deformed shapes. The differentiation of this forward kinematic mapping is usually…

Robotics · Computer Science 2024-05-16 Yingjun Tian , Guoxin Fang , Renbo Su , Weiming Wang , Simeon Gill , Andrew Weightman , Charlie C. L. Wang

This paper presents a survey of the state-of-the-art deformable models studied in the literature concerning soft tissue deformable modeling for interactive surgical simulation. It first introduces the challenges of surgical simulation,…

Computational Engineering, Finance, and Science · Computer Science 2019-09-10 Jinao Zhang , Yongmin Zhong , Chengfan Gu

We introduce the Push-Forward Signed Distance Morphometric (PF-SDM) for shape quantification in biomedical imaging. The PF-SDM compactly encodes geometric and topological properties of closed shapes, including their skeleton and symmetries.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Roua Rouatbi , Juan-Esteban Suarez Cardona , Alba Villaronga-Luque , Jesse V. Veenvliet , Ivo F. Sbalzarini

With systems for acquiring 3D surface data being evermore commonplace, it has become important to reliably extract specific shapes from the acquired data. In the presence of noise and occlusions, this can be done through the use of…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Alan Brunton , Augusto Salazar , Timo Bolkart , Stefanie Wuhrer

The study of physiology demonstrates that the form (shape)of anatomical structures dictates their functions, and analyzing the form of anatomies plays a crucial role in clinical research. Statistical shape modeling (SSM) is a widely used…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Krithika Iyer , Shireen Y. Elhabian

In computational anatomy, the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework has become a central tool for modeling smooth, invertible transformations between shapes such as curves or landmarks. In this paper, we extend…

Differential Geometry · Mathematics 2025-11-19 Rayane Mouhli , Thomas Pierron

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…

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

Multiple sclerosis is a chronic autoimmune disease that affects the central nervous system. Understanding multiple sclerosis progression and identifying the implicated brain structures is crucial for personalized treatment decisions.…

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

The Active Shape Model (ASM) is one of the most popular local texture models for face alignment. It applies in many fields such as locating facial features in the image, face synthesis, etc. However, the experimental results show that the…

Computer Vision and Pattern Recognition · Computer Science 2012-09-28 Thai Hoang Le , Truong Nhat Vo

This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis. Functional shapes can be described as signal functions supported on…

Computational Geometry · Computer Science 2014-04-25 Benjamin Charlier , Nicolas Charon , Alain Trouvé

Shape-morphing devices, a crucial branch in soft robotics, hold significant application value in areas like human-machine interfaces, biomimetic robotics, and tools for interacting with biological systems. To achieve three-dimensional (3D)…

Robotics · Computer Science 2024-01-30 Jue Wang , Dhirodaatto Sarkar , Jiaqi Suo , Alex Chortos