Meshfree thinning of 3D point clouds

DOI10.1007/s10208-007-9008-7zbMath1148.65011OpenAlexW1963574068MaRDI QIDQ945012

Holger Wendland, Armin Iske, N. Richter-Dyn

Publication date: 10 September 2008

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-007-9008-7

zbMATH Keywords

graphical examplesmeshfree methods3D point cloudsurface simplificationthinning algorithms

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Foreword ⋮ Space-time meshfree collocation method: Methodology and application to initial-boundary value problems ⋮ Estimation of linear operators from scattered impulse responses

Uses Software

• Stanford 3D Scanning Repository

Cites Work

• Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
• Adaptive thinning for bivariate scattered data
• Multiresolution methods in scattered data modelling.
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Optimal triangulation and quadric-based surface simplification
• Approximate interpolation with applications to selecting smoothing parameters
• Local polynomial reproduction and moving least squares approximation
• The approximation power of moving least-squares
• Radial Basis Functions
• Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
• Scattered Data Approximation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Meshfree thinning of 3D point clouds