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Many innovative applications require establishing correspondences among 3D geometric objects. However, the countless possible deformations of smooth surfaces make shape matching a challenging task. Finding an embedding to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Riccardo Marin , Souhaib Attaiki , Simone Melzi , Emanuele Rodolà , Maks Ovsjanikov

Three-dimensional (3D) ultrasound imaging technique has been applied for scoliosis assessment, but current assessment method only uses coronal projection image and cannot illustrate the 3D deformity and vertebra rotation. The vertebra…

Image and Video Processing · Electrical Eng. & Systems 2023-01-02 Hongye Zeng , kang Zhou , Songhan Ge , Yuchong Gao , Jianhao Zhao , Shenghua Gao , Rui Zheng

We apply an orthogonalization procedure on the effective field theory of large scale structure (EFT of LSS) shapes, relevant for the angle-averaged bispectrum and non-Gaussian covariance of the matter power spectrum at one loop. Assuming…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Daniele Bertolini , Mikhail P. Solon

We consider the problem of finding a continuous and non-rigid matching between a 2D contour and a 3D mesh. While such problems can be solved to global optimality by finding a shortest path in the product graph between both shapes, existing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Paul Roetzer , Zorah Lähner , Florian Bernard

Statistical shape modeling (SSM) is widely used in biology and medicine as a new generation of morphometric approaches for the quantitative analysis of anatomical shapes. Technological advancements of in vivo imaging have led to the…

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

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

Accurately predicting the 3D shape of any arbitrary object in any pose from a single image is a key goal of computer vision research. This is challenging as it requires a model to learn a representation that can infer both the visible and…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Anh Thai , Stefan Stojanov , Vijay Upadhya , James M. Rehg

Accurate 3D models of the human heart require not only correct outer surfaces but also realistic inner structures, such as the ventricles, atria, and myocardial layers. Approaches relying on implicit surfaces, such as signed distance…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Hieu Le , Jingyi Xu , Nicolas Talabot , Jiancheng Yang , Pascal Fua

We present a robust method to find region-level correspondences between shapes, which are invariant to changes in geometry and applicable across multiple shape representations. We generate simplified shape graphs by jointly decomposing the…

Graphics · Computer Science 2018-03-06 Yanir Kleiman , Maks Ovsjanikov

We propose a means of computing fitted frames on the boundary and in the interior of objects and using them to provide the basis for producing geometric features from them that are not only alignment-free but most importantly can be made to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Stephen M. Pizer , Zhiyuan Liu , Junjie Zhao , Nicholas Tapp-Hughes , James Damon , Miaomiao Zhang , JS Marron , Mohsen Taheri , Jared Vicory

Human shape spaces have been extensively studied, as they are a core element of human shape and pose inference tasks. Classic methods for creating a human shape model register a surface template mesh to a database of 3D scans and use…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Stephan Wenninger , Fabian Kemper , Ulrich Schwanecke , Mario Botsch

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

Statistical shape modeling (SSM) has recently taken advantage of advances in deep learning to alleviate the need for a time-consuming and expert-driven workflow of anatomy segmentation, shape registration, and the optimization of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Jadie Adams , Riddhish Bhalodia , Shireen Elhabian

We propose SDFDiff, a novel approach for image-based shape optimization using differentiable rendering of 3D shapes represented by signed distance functions (SDFs). Compared to other representations, SDFs have the advantage that they can…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yue Jiang , Dantong Ji , Zhizhong Han , Matthias Zwicker

Structural defects within amorphous packings of symmetric particles can be characterized using a machine learning approach that incorporates structure functions of radial distances and angular arrangement. This yields a scalar field,…

Soft Condensed Matter · Physics 2019-03-06 Matt Harrington , Andrea J. Liu , Douglas J. Durian

Regular decompositions are necessary for most superpixel-based object recognition or tracking applications. So far in the literature, the regularity or compactness of a superpixel shape is mainly measured by its circularity. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Rémi Giraud , Vinh-Thong Ta , Nicolas Papadakis

Models for near-rigid shape matching are typically based on distance-related features, in order to infer matches that are consistent with the isometric assumption. However, real shapes from image datasets, even when expected to be related…

Computer Vision and Pattern Recognition · Computer Science 2008-09-23 Julian J. McAuley , Tiberio S. Caetano , Alexander J. Smola

The aim of Shape From Shading (SFS) problem is to reconstruct the relief of an object from a single gray level image. In this paper we present a new method to solve the problem of SFS using Machine learning method. Our approach belongs to…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Lyes Abada , Saliha Aouat

In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometrics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid…

Computational Geometry · Computer Science 2020-10-30 Gary P. T. Choi , Di Qiu , Lok Ming Lui