Abstract
The parametric representation of surfaces is often avoided in best-fit computations because of the large number of unknowns. By exploiting the matrix structure, D. Sourlier has developed an effective best-fit software ‘FUNKE’, which is based on parametric representation. FUNKE is perfectly applicable for sculptured surfaces. We report on the best-fit of a turbine blade.
In the second part we propose a new shape distance measure to compare two CAD-described surfaces. We give algorithms in Matlab to compute this shape distance and the corresponding transformation.
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The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35392-0_40
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Gander, W.: 1997, ‘Least Square Fit of Point Clouds’, in: W. Gander and J. Hiebfcek, ed.: Solving Problems in Scientific Computing Using Maple and Matlab, ch. 23, pp. 339–349. Springer, Berlin etc., 3rd edition.
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Sourlier, D.: 1995, ‘Case Study 3: Exact Measurement of a Sculptured Surface (Aircraft Wing’, in: John A Bosch ed., Coordinate Measuring Machines and Systems, in: W. Knapp: Chapter 12, Marcel Dekker, pp. 327–332
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Address for Offprints: Prof. Walter Gander, Wissenschaftliches Rechnen, ETH Zentrum, CH-8092 Zürich, Switzerland
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© 1999 IFIP International Federation for Information Processing
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Gander, W., Sourlier, D. (1999). Best-Fit of Sculptured Surfaces. In: Olling, G.J., Choi, B.K., Jerard, R.B. (eds) Machining Impossible Shapes. IFIP — The International Federation for Information Processing, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35392-0_6
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DOI: https://doi.org/10.1007/978-0-387-35392-0_6
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