Theoretical and experimental evaluation of surface quality for optical freeform surfaces

Abstract Optical freeform surfaces have become indispensable in the products of photonics and telecommunication. Due to the geometrical complexity and optical particularity, it is difficult to test and evaluate the surface quality of optical freeform surfaces in terms of the form accuracy and surface finish. This paper presents a surface metrology model for the evaluation of surface quality of the optical freeform surfaces. The model is built based on a freeform surface-matching algorithm using the five-points-position-fixed, layered-step, and multilevel method with the match precision higher than 1 nm. Some parameters are also proposed for evaluating the surface quality of the freeform surfaces. The model is validated through a series of simulation and actual measurement experiments. The theoretical results agree well with the experimental results.

[1]  V. T. Portman,et al.  Statistical Approach to Assessments of Geometrical Accuracy , 2002 .

[2]  Baining Guo,et al.  Surface reconstruction: from points to splines , 1997, Comput. Aided Des..

[3]  Matthias Eck,et al.  Automatic reconstruction of B-spline surfaces of arbitrary topological type , 1996, SIGGRAPH.

[4]  Yuan Guo The Theory and Method of Measuring Geometrical Errors of Complex Surface on CMMS , 2000 .

[5]  Berend Denkena,et al.  Fast Inspection of Larger Sized Curved Surfaces by Stripe Projection , 2002 .

[6]  K. J. Stout,et al.  Second international workshop on the development of methods for the characterization of roughness in 3-D , 1993 .

[7]  Menno Kosters,et al.  Curvature-dependent parameterization of curves and surfaces , 1991, Comput. Aided Des..

[8]  S. G. Kim,et al.  Development of Computer-Aided Inspection System with CMM for Integrated Mold Manufacturing , 1993 .

[9]  Angelo Ferrando,et al.  Wavelet Analysis for Surface Characterisation: an Experimental Assessment , 2004 .

[10]  Hong-Tzong Yau,et al.  Automated precision measurement of surface profile in CAD-directed inspection , 1992, IEEE Trans. Robotics Autom..

[11]  Akira Kyusojin,et al.  New method of best-fitting on curved surface , 1993, Other Conferences.

[12]  Hulya Yalcin,et al.  The Precise Measurement of Free-Form Surfaces , 2002 .

[13]  Tony DeRose,et al.  Surface reconstruction from unorganized points , 1992, SIGGRAPH.

[14]  Hans Nørgaard Hansen,et al.  Quantitative Characterisation of Surface Texture , 2000 .

[15]  Chen Zichen Research of Adaptive Layout of Point of Freeform Surface Measurement , 2001 .