A review of algorithms for filtering the 3D point cloud
In recent years, 3D point cloud has gained increasing attention as a new representation for
objects. However, the raw point cloud is often noisy and contains outliers. Therefore, it is …
objects. However, the raw point cloud is often noisy and contains outliers. Therefore, it is …
Review of optical measurement techniques for measuring three-dimensional topography of inner-wall-shaped parts
F Jiao, L Liu, W Cheng, C Li, X Zhang - Measurement, 2022 - Elsevier
Inner-wall-shaped parts refer to special parts with semi-closed structures, such as bearings
and pipes, that are widely used in various fields. Three-dimensional (3D) topography reflects …
and pipes, that are widely used in various fields. Three-dimensional (3D) topography reflects …
On the -Laplacian and -Laplacian on Graphs with Applications in Image and Data Processing
A Elmoataz, M Toutain, D Tenbrinck - SIAM Journal on Imaging Sciences, 2015 - SIAM
In this paper we introduce a new family of partial difference operators on graphs and study
equations involving these operators. This family covers local variational p-Laplacian, ∞ …
equations involving these operators. This family covers local variational p-Laplacian, ∞ …
Mean curvature, threshold dynamics, and phase field theory on finite graphs
In the continuum, close connections exist between mean curvature flow, the Allen-Cahn
(AC) partial differential equation, and the Merriman-Bence-Osher (MBO) threshold dynamics …
(AC) partial differential equation, and the Merriman-Bence-Osher (MBO) threshold dynamics …
Partial difference operators on weighted graphs for image processing on surfaces and point clouds
F Lozes, A Elmoataz, O Lézoray - IEEE Transactions on Image …, 2014 - ieeexplore.ieee.org
Partial difference equations (PDEs) and variational methods for image processing on
Euclidean domains spaces are very well established because they permit to solve a large …
Euclidean domains spaces are very well established because they permit to solve a large …
Hamilton-Jacobi equations on graphs with applications to semi-supervised learning and data depth
Shortest path graph distances are widely used in data science and machine learning, since
they can approximate the underlying geodesic distance on the data manifold. However, the …
they can approximate the underlying geodesic distance on the data manifold. However, the …
The generalized porous medium equation on graphs: existence and uniqueness of solutions with data
We study solutions of the generalized porous medium equation on infinite graphs. For
nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild …
nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild …
Eikonal equation adaptation on weighted graphs: fast geometric diffusion process for local and non-local image and data processing
In this paper we propose an adaptation of the Eikonal equation on weighted graphs, using
the framework of Partial difference Equations, and with the motivation of extending this …
the framework of Partial difference Equations, and with the motivation of extending this …
Sobolev spaces on locally finite graphs
M Shao, Y Yang, L Zhao - Proceedings of the American Mathematical …, 2025 - ams.org
In this paper, we focus on the theory of Sobolev spaces on locally finite graphs, including
completeness, reflexivity, separability and Sobolev inequalities. We introduce a linear space …
completeness, reflexivity, separability and Sobolev inequalities. We introduce a linear space …
A graph-based mathematical morphology reader
A graph-based mathematical morphology reader - ScienceDirect Skip to main contentSkip to
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