Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Optimal combination and constraints for geometrical sensor data
International Journal of Robotics Research - Special Issue on Sensor Data Fusion
Robust Segmentation of Primitives from Range Data in the Presence of Geometric Degeneracy
IEEE Transactions on Pattern Analysis and Machine Intelligence
Advanced surface fitting techniques
Computer Aided Geometric Design
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Feature-based reverse modeling strategies
Computer-Aided Design
Constructing 3D motions from curvature and torsion profiles
Computer-Aided Design
A study of surface reconstruction for 3D mannequins based on feature curves
Computer-Aided Design
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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.