Overfitting control for surface reconstruction

Authors:
Yunjin Lee;Seungyong Lee;Ioannis Ivrissimtzis;Hans-Peter Seidel
Affiliations:
POSTECH;POSTECH;Coventry University;MPI Informatik
Venue:
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Year:
2006

Citing 11
Cited 2

Estimation of Planar Curves, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation

IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points

SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Zippered polygon meshes from range images

SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Automatic reconstruction of surfaces and scalar fields from 3D scans

SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A volumetric method for building complex models from range images

SIGGRAPH '96 Proceedings of the 23rd 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
Computing and Rendering Point Set Surfaces

IEEE Transactions on Visualization and Computer Graphics
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
3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions

SMI '04 Proceedings of the Shape Modeling International 2004
The power crust, unions of balls, and the medial axis transform

Computational Geometry: Theory and Applications

Surface and normal ensembles for surface reconstruction

Computer-Aided Design
3D surface roughness measurement for scaliness scoring of psoriasis lesions

Computers in Biology and Medicine

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper proposes a general framework for overfitting control in surface reconstruction from noisy point data. The problem we deal with is how to create a model that will capture as much detail as possible and simultaneously avoid reproducing the noise of the input points. The proposed framework is based on extra-sample validation. It is fully automatic and can work in conjunction with any surface reconstruction algorithm. We test the framework with a Radial Basis Function algorithm, Multi-level Partition of Unity implicits, and the Power Crust algorithm.