Paper Info
Title
Constrained fitting for 2D profile-based reverse modeling
Abstract
Profile curve reconstruction is crucial to surface reconstruction in reverse engineering. In this paper, we present a new constrained fitting method involving lines, circular arcs and B-spline curves for profile curve reconstruction. By using similarity transformation, we reduce the condition number of the Hessian matrix involved in the optimization process and, therefore, the numerical stability is significantly improved. Several industrial examples are presented to demonstrate the efficiency of our method. This paper describes a 2D constrained fitting method for profile curve reconstruction in reverse engineering. The method is an extension to the published methods for 2D constrained fitting. Further more, the numerical problem associated with constrained fitting is tackled in our paper. The described method has been implemented in RE-SOFT, which is a feature-based reverse engineering software developed by the CAD/CAE/CAM Lab of Zhejiang University.
Year
DOI
Venue
2006
10.1016/j.cad.2005.07.004
Computer-Aided Design
Keywords
Field
DocType
b-spline curve,feature-based reverse engineering software,curve reconstruction,reverse engineering,similarity transformation,published method,numerical problem,cam lab,profile curve reconstruction,fitting method,hessian matrix,constrained fitting,profile-based reverse modeling,2d-based modeling,numerical stability,condition number,surface reconstruction,software development
CAD,Surface reconstruction,Matrix similarity,Mathematical optimization,Condition number,Curve fitting,Reverse engineering,Hessian matrix,Numerical stability,Mathematics
Journal
Volume
Issue
ISSN
38
2
Computer-Aided Design
Citations 
PageRank 
References 
7
0.50
11
Authors
4
Name
Order
Citations
PageRank
Ying-Lin Ke1228.95
W. Zhu2366.17
Fengshan Liu37611.78
Xiquan Shi49312.31