Energy-based methods for 2D curve tracking, reconstruction, and refinement of 3D curves and applications

Benedicte Bascle; Rachid Deriche

doi:10.1117/12.146633

23 June 1993 Energy-based methods for 2D curve tracking, reconstruction, and refinement of 3D curves and applications

Benedicte Bascle, Rachid Deriche

Author Affiliations +

Proceedings Volume 2031, Geometric Methods in Computer Vision II; (1993) https://doi.org/10.1117/12.146633
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Deformable contours, based on energy minimization, have been widely used for tracking purposes. This paper proposes a novel type of constraint for the energy minimization problem: the use of motion models. Such an approach greatly reduces the sliding effects occurring during tracking: thus tracking provides point-to-point correspondence between the tracked B- spline based curves and reliably estimates their apparent motion. For a calibrated camera system, the stereo correspondences provided by this matching method can be used to reconstruct a 3-D curve point by point. This set of 3-D points is then approximated and refined by a 3-D deformable curve, in order to improve consistency with image observations. Furthermore, the bases of this tracking approach, i.e., B-splines and the estimation of 2-D motion models, provide an efficient way of estimating time-to-collision, and recovering the spatio-temporal surface of a moving contour, which has been proven to supply valuable information about its 3-D structure and motion. A large set of experimental results illustrates the different parts of this work.

Citation Download Citation

Benedicte Bascle and Rachid Deriche "Energy-based methods for 2D curve tracking, reconstruction, and refinement of 3D curves and applications", Proc. SPIE 2031, Geometric Methods in Computer Vision II, (23 June 1993); https://doi.org/10.1117/12.146633

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