Conformal interpolating algorithm based on B-spline for aspheric ultra-precision machining

Chenggui Li; Dan Sun; Min Wang

doi:10.1117/12.674350

9 June 2006 Conformal interpolating algorithm based on B-spline for aspheric ultra-precision machining

Chenggui Li, Dan Sun, Min Wang

Proceedings Volume 6149, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies; 61493E (2006) https://doi.org/10.1117/12.674350
Event: 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies, 2005, Xian, China

Abstract

Numeric control machining and on-line compensation for aspheric surface are key techniques for ultra-precision machining. In this paper, conformal cubic B-spline interpolating curve is first applied to fit the character curve of aspheric surface. Its algorithm and process are also proposed and imitated by Matlab7.0 software. To evaluate the performance of the conformal B-spline interpolation, comparison was made between linear and circular interpolations. The result verifies this method can ensure smoothness of interpolating spline curve and preserve original shape characters. The surface quality interpolated by B-spline is higher than by line and by circle arc. The algorithm is benefit to increasing the surface form precision of workpiece during ultra-precision machining.

Citation Download Citation

Chenggui Li, Dan Sun, and Min Wang "Conformal interpolating algorithm based on B-spline for aspheric ultra-precision machining", Proc. SPIE 6149, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies, 61493E (9 June 2006); https://doi.org/10.1117/12.674350

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