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Research




▼ Jupyter Notebook Demo


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



▼ Publications


  1. (Preprint) B. Buet, X. Pennec, Flagfolds , Arxiv, 2023, arxiv:2305.10583, 57p.
  2. B. Buet, M. Rumpf, Mean Curvature Motion of Point Cloud Varifolds , ESAIM: M2AN, (56):1773–1808, 2022, arxiv:2010.09419, link to journal .
  3. B. Buet, G.P. Leonardi, S. Masnou, Weak and Approximate Curvatures of a Measure: a Varifold Perspective , Nonlinear Analysis, (222):1-34, 2022, arXiv:1904.05930, link to journal .
  4. B. Buet, G.P. Leonardi, S. Masnou, A Varifold approach to Surface approximation, ARMA, (226):639-694, 2017, arXiv:1609.03625, link to journal .
  5. B. Buet, G.P. Leonardi, Recovering measures from approximate values on balls, Annales Academiae Scientiarum Fennicae Mathematica, (41):947-972, 2016, arXiv:1510.02793, link to journal .
  6. B. Buet, Quantitative conditions of rectifiability for varifolds , Annales de l'Institut Fourier, 65(6):2449-2506, 2015, arXiv:1409.4749. link to journal .


▼ Proceedings with peer review process


  1. 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.
  2. B. Buet, G.P. Leonardi, S. Masnou Discretization and approximation of surfaces using varifolds, in Geometric Flows, 3(2), 2018.
  3. 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.
  4. 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.
  5. B. Buet, Varifolds and Generalized curvature, ESAIM Proceedings, vol.42, décembre 2013, p.1-9.

▼ Other publications



▼ Oral communications in Conferences



▼ Short courses



▼ Workshops and seminars