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How does growth encode form in developing organisms? Many different spatiotemporal growth profiles may sculpt tissues into the same target 3D shapes, but only specific growth patterns are observed in animal and plant development. In…

Soft Condensed Matter · Physics 2023-02-16 Dillon J. Cislo , Anastasios Pavlopoulos , Boris I. Shraiman

Registration of images parameterised by landmarks provides a useful method of describing shape variations by computing the minimum-energy time-dependent deformation field that flows one landmark set to the other. This is sometimes known as…

Numerical Analysis · Mathematics 2017-01-09 Stephen Marsland , Tony Shardlow

Image segmentation is a fundamental task in computer vision aimed at delineating object boundaries within images. Traditional approaches, such as edge detection and variational methods, have been widely explored, while recent advances in…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Junchao Zhou

A face model is a mathematical representation of the distinct features of a human face. Traditionally, face models were built using a set of fiducial points or landmarks, each point ideally located on a facial feature, i.e., corner of the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Jagmohan Meher , Hector Allende-Cid , Torbjörn E. M. Nordling

Landmarks$\unicode{x2013}$conditions that must be satisfied at some point in every solution plan$\unicode{x2013}$have contributed to major advancements in classical planning, but they have seldom been used in stochastic domains. We…

Artificial Intelligence · Computer Science 2025-08-18 David H. Chan , Mark Roberts , Dana S. Nau

Finding a template in a search image is an important task underlying many computer vision applications. Recent approaches perform template matching in a deep feature-space, produced by a convolutional neural network (CNN), which is found to…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Bo Gao , M. W. Spratling

Statistical shape modeling (SSM) characterizes anatomical variations in a population of shapes generated from medical images. SSM requires consistent shape representation across samples in shape cohort. Establishing this representation…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Riddhish Bhalodia , Shireen Elhabian , Jadie Adams , Wenzheng Tao , Ladislav Kavan , Ross Whitaker

Facial landmark localization plays an important role in face recognition and analysis applications. In this paper, we give a brief introduction to a coarse-to-fine pipeline with neural networks and sequential regression. First, a global…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Zhiao Huang , Erjin Zhou , Zhimin Cao

Statistical shape modeling aims at capturing shape variations of an anatomical structure that occur within a given population. Shape models are employed in many tasks, such as shape reconstruction and image segmentation, but also shape…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 David Lüdke , Tamaz Amiranashvili , Felix Ambellan , Ivan Ezhov , Bjoern Menze , Stefan Zachow

Choosing the right representation for geometry is crucial for making 3D models compatible with existing applications. Focusing on piecewise-smooth man-made shapes, we propose a new representation that is usable in conventional CAD modeling…

Graphics · Computer Science 2021-02-11 Dmitriy Smirnov , Mikhail Bessmeltsev , Justin Solomon

We present results of a long-term team collaboration of mathematicians and biologists. We focus on building a mathematical framework for the shape space constituted by a collection of homologous bones or teeth from many species. The…

Numerical Analysis · Mathematics 2024-10-29 Shira Faigenbaum-Golovin , Ingrid Daubechies

Monocular 3D shape recovery is fundamental to geometric understanding, yet achieving robust generalization across arbitrary viewpoints and unseen object categories remains a significant challenge. In this paper, we present a generalizable…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Yiyao Ma , Kai Chen , Zhongxiang Zhou , Zhuheng Song , Dongsheng Xie , Zelong Tan , Rong Xiong , Qi Dou

Skeletonization is a popular shape analysis technique that models an object's interior as opposed to just its boundary. Fitting template-based skeletal models is a time-consuming process requiring much manual parameter tuning. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Nicolás Gaggion , Enzo Ferrante , Beatriz Paniagua , Jared Vicory

Statistical shape modeling is an essential tool for the quantitative analysis of anatomical populations. Point distribution models (PDMs) represent the anatomical surface via a dense set of correspondences, an intuitive and easy-to-use…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Wenzheng Tao , Riddhish Bhalodia , Shireen Elhabian

Metamorphosis is a method for diffeomorphic matching of shapes, with many potential applications for anatomical shape comparison in medical imagery, a problem which is central to the field of computational anatomy. An important tool for the…

Optimization and Control · Mathematics 2014-09-24 Casey L Richardson , Laurent Younes

In medical imaging, point distribution models are often used to reconstruct and complete partial shapes using a statistical model of the full shape. A commonly overlooked, but crucial factor in this reconstruction process, is the pose of…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Jonathan Aellen , Florian Burkhardt , Thomas Vetter , Marcel Lüthi

In this work, we establish a deformation-based framework for learning solution mappings of PDEs defined on varying domains. The union of functions defined on varying domains can be identified as a metric space according to the deformation,…

Numerical Analysis · Mathematics 2025-08-25 Shanshan Xiao , Pengzhan Jin , Yifa Tang

In the area of 3D shape analysis, the geometric properties of a shape have long been studied. Instead of directly extracting representative features using expert-designed descriptors or end-to-end deep neural networks, this paper is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-22 Zongji Wang , Yunfei Liu , Feng Lu

We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional maps framework, but rather than promoting isometries we focus instead on near-conformal maps that…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Mikhail Panine , Maxime Kirgo , Maks Ovsjanikov

In this paper, we present a computer-assisted method for facial reconstruction. This method provides an estimation of the facial shape associated with unidentified skeletal remains. Current computer-assisted methods using a statistical…

Machine Learning · Computer Science 2012-02-15 Maxime Berar , Françoise Tilotta , Joan Alexis Glaunès , Yves Rozenholc
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