Estimating differential quantities using polynomial fitting of osculating jets

F Cazals, M Pouget - Computer aided geometric design, 2005 - Elsevier
This paper addresses the point-wise estimation of differential properties of a smooth
manifold S—a curve in the plane or a surface in 3D—assuming a point cloud sampled over …

Dissolution arrest and stability of particle-covered bubbles

M Abkarian, AB Subramaniam, SH Kim, RJ Larsen… - Physical review …, 2007 - APS
Experiments show that bubbles covered with monodisperse polystyrene particles, with
particle to bubble radius ratios of about 0.1, evolve to form faceted polyhedral shapes that …

Effective computational geometry for curves and surfaces

JD Boissonnat, M Teillaud - 2006 - Springer
Computational geometry emerged as a discipline in the seventies and has had considerable
success in improving the asymptotic complexity of the solutions to basic geometric problems …

[KNJIGA][B] Generalized curvatures

JM Morvan, JM Morvan - 2008 - Springer
฀ Jean-Marie Morvan Page 1 ฀ geometry and computing 2 Jean-Marie Morvan
Generalized Curvatures Page 2 Geometry and Computing Series Editors Herbert …

Topology of disordered 3D graphene networks

JW Martin, C de Tomas, I Suarez-Martinez, M Kraft… - Physical Review Letters, 2019 - APS
Disordered carbons comprise graphene fragments assembled into three-dimensional
networks. It has long been debated whether these networks contain positive curvature, as …

Molecular shape analysis based upon the Morse-Smale complex and the Connolly function

F Cazals, F Chazal, T Lewiner - … of the nineteenth annual symposium on …, 2003 - dl.acm.org
Docking is the process by which two or several molecules form a complex. Docking involves
the geometry of the molecular surfaces, as well as chemical and energetical considerations …

3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries

CT Lee, JG Laughlin… - PLoS computational …, 2020 - journals.plos.org
Recent advances in electron microscopy have enabled the imaging of single cells in 3D at
nanometer length scale resolutions. An uncharted frontier for in silico biology is the ability to …

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics

J Gopalakrishnan, M Neunteufel, J Schöberl… - arxiv preprint arxiv …, 2022 - arxiv.org
The metric tensor of a Riemannian manifold can be approximated using Regge finite
elements and such approximations can be used to compute approximations to the Gauss …

[HTML][HTML] Topological defects and anisotropic development during pre-graphitization

GR Francas, JW Martin, I Suarez-Martinez, NA Marks - Carbon, 2023 - Elsevier
Aligned graphenic fragments of varying size, mimicking those found in carbons carbonized
through a mesophase, are found to self-assemble towards structures of varying anisotropy …

Discrete differential operators on polyhedral surfaces-convergence and approximation

M Wardetzky - 2007 - refubium.fu-berlin.de
Diese Arbeit beschäftigt sich mit diskreten Analoga zur glatten Theorie zweidimensionaler
Riemannscher Mannigfaltigkeiten im Sinne der diskreten Differentialgeometrie (DDG) …