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Inaccuracy compensation and piecewise circular approximation of parametric paths

Published online by Cambridge University Press:  09 March 2009

Vic Beazel
Affiliation:
Mechanical Engineering Dept.Brigham Young University, Provo, Utah 84602 (USA)
Edward Red
Affiliation:
Mechanical Engineering Dept.Brigham Young University, Provo, Utah 84602 (USA)

Summary

A complication to the process of remotely generating tool paths is that mechanism controllers are typically capable of commanding a robot or machine tool to move along linear and circular arc space segments. This paper considers the decomposition of parametrically described, higher-order curvilinear paths into piecewise linear and circular path segments, thereby reducing the data required to store a higher order path.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

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References

1.Piegl, L., “On NURBS: A Survey” IEEE Computer Graphics and Applications 5569 (January, 1991).CrossRefGoogle Scholar
2.Rossignac, J.R. and Requicha, A.A.G., “Piecewise-Circular Curves for Geometric ModelingIBM J. Research 31, No. 3, 296313 (05, 1987).CrossRefGoogle Scholar
3.Sederberg, T., White, S.C. and Zundel, A.K., “Fat Arcs: A Bounding Region with Cubic ConvergenceComputer Aided Geometric Design 6, 205218 (1989).CrossRefGoogle Scholar
4.Honnenahalli, S. and Bow, S.T., “Piecewise Representation of Curves with Concatenated Arcs via Detection of Appropriate Break Points” IEEE Int'l Conference on Robotics and Automation,626627 (1988).Google Scholar
5.Marciniak, K. and Putz, B., “Approximation of spirals by piecewise curves of fewest circular arc segmentsComputer-Aided Design 16, No. 2, 8790 (03, 1984).CrossRefGoogle Scholar
6.Wang, X. and Red, W.E., ‘Off-line Integration Techniques for Robot Path Planning” Proceedings of the 2nd International Conference on Robotics and Factories of the Future,San Diego, Calif.,(1987), pp. 445455.Google Scholar
7.Davies, B., Red, E., and Lawson, J., “The Local Calibration Method for Robot Inaccuracy” J. Robotic Systems 832864 (1990).CrossRefGoogle Scholar
8.Yamaguchi, F., Curves and Surfaces in Computer Aided Geometric Design (Springer-Verlag, Berlin, 1988).CrossRefGoogle Scholar
9.Burden, R.L. and Faires, J.D., Numerical Analysis, 4th ed. (PWS, KENT, 1989).Google Scholar
10.Sorensen, S.K., “An Off-line Approach to Task Level State Driven Robot Programming” Ph.D. Thesis (Brigham Young University, 1989).Google Scholar
11.Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling, W.T., Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, Cambridge 1988).Google Scholar
12.Harbin, A.L., Land Surveyor Reference Manual. Professional Publications, (1985).Google Scholar
13.Farin, G., Curves and Surfaces for Computer Aided Geometric Design, A Practical Guide (A cademic Press, New York, 1988).Google Scholar