Cylindrical coordinate machining of optical freeform surfaces
- 6 May 2008
- journal article
- Published by Optica Publishing Group in Optics Express
- Vol. 16 (10), 7323-7329
- https://doi.org/10.1364/oe.16.007323
Abstract
The cylindrical coordinate machining method (CCM) is systematically studied in generating optical freeform surfaces, in which the feature points are fitted to typical Non-Uniform Rational B-Splines (NURBS). The given points have the mapping coordinates in the variable space using the point inversion technique, while the other points have their NURBS coordinates due to the interpolation technique. The derivation and mathematical features are obtained using the fitting formula. The compensation and optimized values for tool geometry are studied using a proposed sectional curve method for fabricating designed surfaces. Typical freeform surfaces fabricated by the CCM method are presented.This publication has 11 references indexed in Scilit:
- Toolpath generation for diamond shaping of aspheric lens arrayJournal of the American Academy of Dermatology, 2007
- Freeform Surface Characterisation - A Fresh StrategyCIRP Annals, 2007
- Modelling and simulation of freeform surface generation in ultra-precision raster millingProceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 2006
- Design of a hybrid diffractive/refractive achromatized telecentric f·θ lensOptik, 2006
- Dimensional Micro and Nano MetrologyCIRP Annals, 2006
- Designing reflectors to generate a line-shaped directivity diagramJournal of Modern Optics, 2005
- Surfaces in Precision Engineering, Microengineering and NanotechnologyCIRP Annals, 2003
- Point inversion and projection for NURBS curve and surface: Control polygon approachComputer Aided Geometric Design, 2003
- Manufacture of Multiple-focus Micro Fresnel Lenses by Means of Nonrotational Diamond GroovingCIRP Annals, 2002
- NURBS curve and surface fitting for reverse engineeringThe International Journal of Advanced Manufacturing Technology, 1998