Estimating differential quantities using polynomial fitting of osculating jets
From MaRDI portal
Publication:2573847
DOI10.1016/j.cagd.2004.09.004zbMath1084.65017OpenAlexW2052790699WikidataQ115359923 ScholiaQ115359923MaRDI QIDQ2573847
Publication date: 25 November 2005
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2004.09.004
surfacejetsInterpolationApproximationpolynomial fittingsmooth manifolddifferential propertiesDifferential geometryPoint cloud
Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Reducing volume and shape errors in front tracking by divergence-preserving velocity interpolation and parabolic fit vertex positioning ⋮ Accuracy and convergence of the curvature and normal vector discretizations for 3D static and dynamic front-tracking interfaces ⋮ Quadrangulation of non-rigid objects using deformation metrics ⋮ Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure ⋮ An automatic classification and robust segmentation procedure of spatial objects ⋮ Corrected curvature measures ⋮ Normal estimation via shifted neighborhood for point cloud ⋮ Support Vector Machines for Classification of Geometric Primitives in Point Clouds ⋮ Symbolic Computation of Equi-affine Evolute for Plane B-Spline Curves ⋮ Manifold curvature learning from hypersurface integral invariants ⋮ A study of numerical integration based on Legendre polynomial and RLS algorithm ⋮ Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds ⋮ Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation ⋮ Integral invariants for robust geometry processing ⋮ An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces ⋮ Photogrammetry-based computational fluid dynamics ⋮ Local eigenvalue decomposition for embedded Riemannian manifolds ⋮ Linear interpolation of shape operators for umbilical points through local parametrization ⋮ Consistent approximations of several geometric differential operators and their convergence ⋮ Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants ⋮ Smooth surfaces from rational bilinear patches ⋮ Nonasymptotic rates for manifold, tangent space and curvature estimation ⋮ Laplace-Beltrami operator on digital surfaces ⋮ Surface reconstruction via cooperative evolutions ⋮ A discrete surface theory ⋮ Numerical analysis of differential operators on raw point clouds ⋮ Discrete schemes for Gaussian curvature and their convergence ⋮ Uniform convergence of discrete curvatures from nets of curvature lines ⋮ Generalized shape operators on polyhedral surfaces ⋮ Estimating differential quantities from point cloud based on a linear fitting of normal vectors ⋮ Application of discrete curvatures to surface mesh simplification and feature line extraction ⋮ Multigrid-convergence of digital curvature estimators ⋮ On estimating the curvature attributes and strain invariants of deformed surface through radial basis functions ⋮ Principal curvatures from the integral invariant viewpoint ⋮ Exact and interpolatory quadratures for curvature tensor estimation ⋮ Comparison and improvement of tangent estimators on digital curves ⋮ Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parallelotopes of maximum volume in a simplex
- On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
- Surface reconstruction by Voronoi filtering
- On the approximation of a smooth surface with a triangulated mesh
- Computational aspects of multivariate polynomial interpolation
- Polynomial interpolation in several variables
- On the angular defect of triangulations and the pointwise approximation of curvatures
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- On Multivariate Lagrange Interpolation
- Restricted delaunay triangulations and normal cycle
- Approximation et interpolation des fonctions différentiables de plusieurs variables