Motion field of curves: Applications

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Abstract

This paper discusses the well known problem of structure from motion for the special case of rigid curves. It is already known that it is theoretically possible to recover the motion and thus the structure of a moving 3D rigid curve observed through one camera given some set of derivatives that are defined on the so-called spatio-temporal surface under the most general camera model of perspective projection. We give here a new simplification of the previous results. In order to show that implementing this theory is indeed feasible, we proceeded towards two main directions. First, we have implemented the special case of planar rigid curves. Second, we show that the derivatives defined on the spatiotemporal surface which are needed in the general case can indeed be computed from the images.

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Papadopoulo, T., & Faugeras, O. (1994). Motion field of curves: Applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 800 LNCS, pp. 71–82). Springer Verlag. https://doi.org/10.1007/3-540-57956-7_7

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