Abstract | ||
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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 |
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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 Bauer | 1 | 102 | 10.84 |
Konrad Polthier | 2 | 1089 | 85.92 |