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21 September 1994 Reconstruction of quadric surfaces from disparity measurements
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Abstract
Techniques for the reconstruction of quadric surfaces (cones and cylinders) from disparity measurements obtained by a stereo vision system are presented. For the initial estimation of the geometrical parameters of cones, a regression based approach is adopted from [Newman, Flynn, and Jain, CVGIP: Image Understanding, Vol. 58, pp. 235-249]. A new method based on surface normal estimation is developed for the cylindrical case. For the refinement of the parameter estimates, the Levenberg-Marquardt nonlinear least squares algorithm is used as in [Flynn and Jain, Proc. 1988 IEEE Comput. Soc. Conf. Computer Vision and Pattern Recognition, pp. 261-267] but two mistaken formulas (one for a cone and the same for a cylinder) are corrected. The prior approaches for quadrics in stereo vision have been more or less approximative. Our contribution is to fit the exact quadric shape to disparity data using the existing methods for range data. The disparity space offers a convenient frame to analyze the differences between the measurements and the reconstructed model.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Olli T. Jokinen "Reconstruction of quadric surfaces from disparity measurements", Proc. SPIE 2298, Applications of Digital Image Processing XVII, (21 September 1994); https://doi.org/10.1117/12.186573
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