Title
Generating parametric models of tubes from laser scans
Abstract
We present an automatic method for computing an accurate parametric model of a piecewise defined pipe surface, consisting of cylinder and torus segments, from an unorganized point set. Our main contributions are reconstruction of the spine curve of a pipe surface from surface samples, and approximation of the spine curve by G^1 continuous circular arcs and line segments. Our algorithm accurately outputs the parametric data required for bending machines to create the reconstructed tube.
Year
DOI
Venue
2009
10.1016/j.cad.2009.01.002
Computer-Aided Design
Keywords
Field
DocType
reconstructed tube,moving least squares,curve approximation,pipe surface,automatic method,tubes,continuous circular arc,accurate parametric model,main contribution,spine curve,surface reconstruction,pipe surfaces,generating parametric model,line segment,surface sample,parametric data,laser scanning,parametric model
Surface reconstruction,Line segment,Mathematical optimization,Parametric model,Cylinder,Torus,Moving least squares,Parametric statistics,Geometry,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
41
10
Computer-Aided Design
Citations 
PageRank 
References 
4
0.57
17
Authors
2
Name
Order
Citations
PageRank
Ulrich Bauer110210.84
Konrad Polthier2108985.92