HodgeNet: Learning spectral geometry on triangle meshes

D Smirnov, J Solomon - ACM Transactions on Graphics (TOG), 2021 - dl.acm.org
Constrained by the limitations of learning toolkits engineered for other applications, such as
those in image processing, many mesh-based learning algorithms employ data flows that …

Repulsive curves

C Yu, H Schumacher, K Crane - ACM Transactions on Graphics (TOG), 2021 - dl.acm.org
Curves play a fundamental role across computer graphics, physical simulation, and
mathematical visualization, yet most tools for curve design do nothing to prevent crossings …

Intrinsic and extrinsic operators for shape analysis

Y Wang, J Solomon - Handbook of numerical analysis, 2019 - Elsevier
Geometric operators are common objects in surface-based shape analysis and geometry
processing. While the intrinsic Laplace–Beltrami operator has been a ubiquitous choice …

Cell shape characterization, alignment, and comparison using FlowShape

C van Bavel, W Thiels, R Jelier - Bioinformatics, 2023 - academic.oup.com
Motivation The shape of a cell is tightly controlled, and reflects important processes
including actomyosin activity, adhesion properties, cell differentiation, and polarization …

Disentangling geometric deformation spaces in generative latent shape models

T Aumentado-Armstrong, S Tsogkas… - International Journal of …, 2023 - Springer
A complete representation of 3D objects requires characterizing the space of deformations
in an interpretable manner, from articulations of a single instance to changes in shape …

3D shape analysis of lunar regolith simulants

B Peng, R Hay, K Celik - Powder Technology, 2023 - Elsevier
Lunar regolith simulants are instrumental in the demonstration and validation of several
space technologies, and the geometry properties are essential in understanding their …

A discrete extrinsic and intrinsic Dirac operator

T Hoffmann, Z Ye - Experimental Mathematics, 2022 - Taylor & Francis
In differential geometry of surfaces the Dirac operator appears intrinsically as a tool to
address the immersion problem as well as in an extrinsic flavor (that comes with spin …

Deep Learning on Geometry Representations

D Smirnov - 2022 - dspace.mit.edu
While deep learning has been successfully applied to many tasks in computer graphics and
vision, standard learning architectures often operate on shape representations that are …

Modélisation efficiente du corps humain en mouvement

C Lemeunier - 2023 - hal.science
Développer des modèles capables de comprendre la dynamique du corps humain
représente aujourd'hui un défi important dans le domaine de l'informatique graphique. Les …

A Curvature and Density‐based Generative Representation of Shapes

Z Ye, N Umetani, T Igarashi… - Computer Graphics …, 2021 - Wiley Online Library
This paper introduces a generative model for 3D surfaces based on a representation of
shapes with mean curvature and metric, which are invariant under rigid transformation …