Motion field of curves: Applications

  • Théo Papadopoulo
  • Olivier Faugeras
Optical Flow and Motion Fields
Part of the Lecture Notes in Computer Science book series (LNCS, volume 800)


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.


Planar Curve Motion Field Perspective Projection Curvilinear Abscissa Apparent Motion Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Théo Papadopoulo
    • 1
  • Olivier Faugeras
    • 1
  1. 1.INRIA Sophia AntipolisSophia-Antipolis CedexFrance

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