Open AccessCylindrical coordinate machining of optical freeform surfaces
Author(s) -
Fengzhou Fang,
X D Zhang,
Xiao Hu
Publication year - 2008
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.007323
Subject(s) - machining , interpolation (computer graphics) , coordinate system , point (geometry) , optics , curvilinear coordinates , coordinate measuring machine , geometry , computer science , materials science , mathematics , physics , computer vision , motion (physics) , metallurgy
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.