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Proceedings of the American Mathematical Society, ISSN 0002-9939, 2017, Volume 145, Issue 1, pp. 139 - 149
Journal Article
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 1, pp. A1 - A21
We propose a new and simple discretization, named the modified virtual grid difference (MVGD), for numerical approximation of the Laplace Beltrami (LB)... 
PDE on surfaces | Laplace–Beltrami operator | Surface Laplacian | MATHEMATICS, APPLIED | surface Laplacian | PARTICLE METHOD | Laplace-Beltrami operator
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 04/2018, Volume 105, pp. 182 - 190
•We present an integrated framework for 3D shape classification using deep learning with geodesic moments.•We construct high-level features using a two-layer... 
Deep learning | Shape classification | Laplace–Beltrami | Geodesic moments | Stacked autoencoders | Laplace-Beltrami | NETWORKS | SIGNATURE | RETRIEVAL | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
2017, 1, Synthesis lectures on visual computing : Computer graphics, animation, computational photography, and imaging, ISBN 9781681731391, Volume 29, xxv, 113 pages
In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances,... 
Geometry | Harmonic functions | Computer simulation | Computer graphics | Data processing | Mathematics | Shapes | Laplacian operator | Computing and Processing | General Topics for Engineers | COMPUTERS / Data Visualization | MATHEMATICS / Numerical Analysis | MATHEMATICS / Geometry / General
Book
Computer-Aided Design, ISSN 0010-4485, 2006, Volume 38, Issue 4, pp. 342 - 366
Journal Article
Computers & Graphics, ISSN 0097-8493, 2009, Volume 33, Issue 3, pp. 381 - 390
Shape analysis plays a pivotal role in a large number of applications, ranging from traditional geometry processing to more recent 3D content management. In... 
Nodal sets | Eigenfunctions | Nodal domains | Laplace–Beltrami operator | Shape analysis | Shape segmentation | Laplace-Beltrami operator | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MESH SEGMENTATION | PARAMETERIZATION | SPECTRA
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2019, Volume 470, Issue 2, pp. 1081 - 1094
We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove... 
Beltrami's equation | Quasiconformal mapping | Beltrami operators | Distributional solution | MATHEMATICS | MATHEMATICS, APPLIED | PLANE
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2020, Volume 364, p. 124670
This paper is focused on efficient Monte Carlo simulations of Brownian diffusion effects in particle-based numerical methods for solving transport equations on... 
Laplace–Beltrami operator | Brownian diffusion on a sphere | Orientation probability density | Lagrangian modeling | Random walk | MATHEMATICS, APPLIED | FIBER ORIENTATION | NUMERICAL-SIMULATION | FLOW | Laplace-Beltrami operator
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2020, Volume 364, p. 112334
This paper brings results about the behavior of sequences of eigenvalues or singular values of integral operators generated by square-integrable kernels on the... 
Eigenvalues | Singular values | Compact two-point homogeneous spaces | Integral operators | Laplace–Beltrami differentiability | Decay rates | MATHEMATICS, APPLIED | APPROXIMATION | Laplace-Beltrami differentiability | KERNELS | Mathematics - Functional Analysis
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 2006, Volume 21, Issue 1, pp. 53 - 94
Journal Article