B. Buet, G.P. Leonardi, S. Masnou, Implementation of Second Fundamental Form computation based on publications 2 and 3.
Though the original implementation is in C++, we provide here a Jupyter Notebook Demo and a static version , bunny point cloud is from the Stanford Repository http://graphics.stanford.edu/data/3Dscanrep and can be downloaded here.
▼ Ph.D. students and Master 2 students
C. Boricaud,
Ph.D. started in October 2021, advisors: B. Buet, G.P. Leonardi, S. Masnou,
Geometric inference for Data analysis: a Geometric Measure Theory perspective,
link to PhD project.
Master 2 internship from April to August 2021, advisor: B. Buet, Towards infering a varifold structure from datapoints,
link to M2 report.
A. Sagueni, started in October 2020, advisors: B. Buet, G.P. Leonardi, S. Masnou,
Geometric analysis of point clouds, flows, and applications.
B. Buet, J-M. Mirebeau,Y. van Gennip, F. Desquilbet, J. Dreo, F. Barbaresco, G.P. Leonardi, S. Masnou, C-B. Schönlieb
Partial differential equations and variational methods for geometric processing of images, The SMAI journal of computational mathematics, Volume S5, 2019, SMAI-JCM_2019__S5__109_0.
B. Buet, G.P. Leonardi, S. Masnou
Discretization and approximation of surfaces using varifolds, in Geometric Flows, 3(2), 2018.
B. Buet, G.P. Leonardi, S. Masnou
Discrete varifolds and surface approximation, Topological Optimization and Optimal Transport in the Applied Sciences, vol. 17, Berlin, Boston: De Gruyter, 2017.
B. Buet, G.P. Leonardi, S. Masnou
Discrete varifolds: a unified framework for discrete approximations of surfaces and mean curvature,
Proceedings SSVM 2015, LNCS volume 9087.
B. Buet,
Varifolds and Generalized curvature,
ESAIM Proceedings, vol.42, décembre 2013, p.1-9.
T. Auphan, P. Bochard, J. Bouhours, B. Buet, J. Claisse, A. Crestetto and Y. Deleuze,
Analyse multivariées pour la production d'aluminium,
Semaine d'Etude Mathématiques et Entreprises 2, 2011,
link to hal report.
▼ Oral communications in Conferences
June 2023, (upcoming) Approximation Theory Workshop FoCM 2023 conference (Paris, France).
March 2023, The Paris-London Analysis Seminar, (UCL, Londres, UK).
November 2022, Measure-theoretic Approaches and Optimal Transportation in Statistics, semestre thématique de l'IHP: Geometry,
Topology and Statistics in Data Sciences (Paris, France),
link to video.
June 2022, Shape Optimization and related Topics,(Roscoff, France).
January 2021 Mathematics and Image Analysis MIA’21 (online),
link to video.
March 2020, Workshop Geometric Curvature Functionals and Optimization (Göttingen, Germany).
April 2019, Geometric Processing, IPAM program Geometry and Learning from Data in 3D and Beyond (UCLA, USA), link to video.
February 2019, Variational Methods and Optimization in Imaging, thematic trimester of IHP: The Mathematics of Imaging (Paris, France), link to video.
July 2018, Curves and Surfaces (Arcachon, France).
June 2018, Geometric Measure Theory (Verona, Italy).
May 2018, CANUM 2018 (Agde, France).
September 2016, Geometric Measure Theory (Toulouse, France).
January 2016, Mathematical Imaging and Surface Processing (Oberwolfach, Germany).
June 2015: Poster, SMAI 2015 (Karellis, France),
link to poster
June 2015, SSVM 2015 (Lège Cap Ferret, France).
February 2015, XXV Convegno Nazionale di Calcolo delle Variazioni (Levico, Italy).
October 2014: workshop Shape and Topological Optimization
(Linz, Austria).
June 2014: Poster, conference Curves and Surfaces 2014(Paris),
link to poster
▼ Short courses
October 2019: short course (2h) Varifolds and geometric inference at INRIA DataShape seminar team (Porquerolles, France).
October-November 2018: short course (6h), Varifolds and approximation in Institut Fourier in the context of GeoSpec project (Grenoble, France).
▼ Workshops and seminars
May 2023: Talk at Analyse/EDP seminar, UCLouvain (Belgium).
March 2023: Talk at Paris-London Analysis seminar, London.
January 2023: Talk at Maths departement seminar, Mulhouse.
May 2022: Talk at EDP seminar, Nancy.
May 2022: Talk at INRIA DataShape seminar team, Porquerolles.
November 2021: Talk at Journées thématiques de l'équipe d'Analyse Appliquée de l'I2M, Marseille.
June 2021: Talk at GdT CalVa, online.
May 2021: Talk at National Taiwan Normal University, online.
December 2019: Talk at ANR CoMeDiC meeting, Chambéry.
November 2019: Talk at ANR JOFA meeting, Palaiseau.
September 2019: Talk at thème Physique Mathématique seminar, Grenoble.
February 2019: Talk at LAMA colloquium, Créteil.
January 2019: Talk at CoMeDiC ANR meeting, Marne-la-Vallée.
May 2018: Talk at INRIA MOKAPLAN seminar, Paris.
February 2018: Talk at LJLL seminar, Paris.
November 2016: Talk at SPOC seminar, Dijon.
April 2016: Talk at Image seminar of GREYC, Caen.
April 2016: Talk at SMATI seminar, Paris.
March 2016: Talk at ANEDP seminar, Orsay.
February 2016: Talk at GdT CalVa, Paris.
December 2015: Talk at the Oberseminar of the Applied analysis group of Dortmund (Germany).
October 2015: Talk at the seminar of Calculus of variations research group in Grenoble.
October 2015: Talk at the day of the Harmonic Analysis group of Orsay.
June 2015: Talk at the seminar of the LIMD group in Chambéry.
March 2015: Talk at Journées Jeunes Edpistes (St Brévin, France).
March 2015: Talk at "Varifolds' day" (Modena, Italy).
December 2014: Talk at the PhD students' seminar in Lyon.
March 2014: Talk at the seminar of analysis of Modena (Italy).
March 2014: Talk at the meeting of ANR Geometrya in Orsay (Paris).
February 2014: Talk at the seminar of Calculus of variations research group in Grenoble.
