Estimating the Error of Active 3D Scanner by Using Harmonic Test-Objects

The quality of 3D triangulation scanners with a structured light system, which are designed for recording of 3D images of objects estimated. A technique for check of triangulation scanner quality is offered which is based on estimation of distortions arising in reconstruction of individual 3D harmonic constituents of the object decomposition in the basis offinite harmonic functions. An approbation of this technique was conducted during the check of reconstruction of rectangular objects with different sizes. Mathematical relationships are deduced which make it possible to estimate the error ofharmonic test-object reconstruction in the triangulation scanner with harmonic structured light system when the reconstruction algorithm based on the Fourier analysis method is implemented. The validity of the derived formula was verified during the experiments, in which the recording and reconstruction of harmonic test-objects were performed at different spatial frequencies of the structured light system. The obtained results can be used for optimizing constructive parameters of instruments and algorithm parameters on condition that the error of shape reconstruction for objects with a specified 3D structure is minimized.

References

[1] Shapiro L.G., Stockman G.C. Computer Vision. Upper Saddle River, Prentice Hall, 2001. (Russ. ed.: Shapiro L., Stokman Dzh. Komp’yuternoe zrenie. Moscow, BINOM Publ., 2006. 762 p.).

[2] Trobina M. Error Model of a Coded-Light Range Sensor: Technical Report BIWITR-164, ETH-Zentrum, 1995.

[3] Wenjing Chen, Xianyu Su, Yiping Cao, Liqun Xiang. Improving Fourier transform profilometry based on bicolor fringe pattern. Opt. Eng., 2004, vol. 43, no. 1, pp. 192–198.

[4] Papoulis A. Systems and Transforms with Applications in Optics. New York, McGraw-Hill, 1968. 316 p. (Russ. ed.: Papulis A. Teoriya sistem i preobrazovaniy v optike. Moscow, Mir Publ., 1971. 496 p.).

[5] Benuni A.A., Kolyuchkin V.Ya. Optimization of the parameters of an algorithm for reconstructing three-dimensional images by the parallax registration method. Trudy Konf. Prikl. Opt. [Proc. Conf. Appl. Opt.]. St. Petersburg, 2007 (in Russ.).