Orthogonal least square RBF based implicit surface reconstruction methods

Authors:
Xiaojun Wu;Michael Yu Wang;Qi Xia
Affiliations:
Harbin Institute of Technology Shenzhen Graduate School, Shenzhen, China;The Chinese University of Hong Kong, Shatin, Hong Kong, NT, China;The Chinese University of Hong Kong, Shatin, Hong Kong, NT, China
Venue:
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Year:
2006

Citing 11
Cited 1

Universal approximation using radial-basis-function networks

Neural Computation
Surface reconstruction from unorganized points

SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm

Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions

Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate

ACM Transactions on Graphics (TOG)
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods

SIAM Journal on Scientific Computing
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions

SMI '03 Proceedings of the Shape Modeling International 2003
Multi-level partition of unity implicits

ACM SIGGRAPH 2003 Papers
Interpolating Implicit Surfaces from Scattered Surface Data Using Compactly Supported Radial Basis Functions

SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Multi-Scale Reconstruction of Implicit Surfaces with Attributes from Large Unorganized Point Sets

SMI '04 Proceedings of the Shape Modeling International 2004
3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions

SMI '04 Proceedings of the Shape Modeling International 2004

A robust method of thin plate spline and its application to DEM construction

Computers & Geosciences

Quantified Score

Hi-index	0.00

Visualization

Abstract

Two contributions on 3D implicit surface reconstruction from scattered points are presented in this paper. Firstly, least square radial basis functions (LS RBF) are deduced from the conventional RBF formulations, which makes it possible to use fewer centers when reconstruction. Then we use orthogonal least square (OLS) method to select significant centers from large and dense point data sets. From the selected centers, an implicit continuous function is constructed efficiently. This scheme can overcome the problem of numerical ill-conditioning of coefficient matrix and over-fitting. Experimental results show that our two methods are efficient and highly satisfactory in perception and quantification.