Détection de structure géométrique dans les nuages de points. (Geometric structure detection in point clouds)
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Summary
Une version anisotrope de ces mesures de courbure permet en pratique d'estimer le lieu and the direction des aretes vives d'une surface lisse par morceaux echantillonnee par un nuage de point.
- Type
- dissertation
- Published
- 2009-12-10
- Cited by
- 14
- References
- 101
- Access
- Open access
- OpenAlex
- https://openalex.org/W50319009
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:44803241
Keywords
Humanities, Physics, Philosophy
References
- Weighted alpha shapes
- Functions of Bounded Variation and Free Discontinuity Problems
- Geometric Measure Theory
- Analysis of scalar fields over point cloud data
- The Lipschitz continuity of the distance function to the cut locus
- Optimization And Nonsmooth Analysis
- Generalized splines and optimal control
- Topics in Optimal Transportation
- ON THE VOLUME OF TUBES
- Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles.
- Über den kleinsten Kreis, der eine ebene Figur einschließt.
- Finiteness of Hausdorff measure of level sets of bounded subsets of Euclidean space
- Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces
- On the singularities of convex functions
- The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton‐Jacobi equations
- Towards persistence-based reconstruction in euclidean spaces
- Feature Preserving Point Set Surfaces based on Non‐Linear Kernel Regression
- Does polynomial parallel volume imply convexity?
- Geometric Measure Theory: A Beginner's Guide
- Combinatorial manifold mesh reconstruction and optimization from unorganized points with arbitrary topology
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- Cut Locus Construction Using Deformable Simplicial Complexes
- Discrete Geometry for Computer Imagery
- Mesh generation and geometric persistent homology
- Automatic 3D garment positioning based on surface metric
- Manifold Curvature Descriptors from Hypersurface Integral Invariants
- Integral Invariants from Covariance Analysis of Embedded Riemannian Manifolds
- Manifold Curvature From Covariance Analysis
- Geometric Inference on Kernel Density Estimates
- Voronoi-Based Geometry Estimator for 3D Digital Surfaces
- Inference of curvature using tubular neighborhoods
- Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants
- Activity Report 2012 Team MCTAO Mathematics for Control, Transport and Applications
- Inférence géométrique discrète
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