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Observability/Identifiability of Rigid Motion under Perspective Projection (1994)  (Make Corrections)  (2 citations)
Stefano Soatto



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Abstract: The "visual motion estimation" problem concerns the estimation of the motion of an object viewed under projection. This paper addresses the feasibility of such a problem. We will show that the model which defines the visual motion estimation problem for feature points in the Euclidean 3D space lacks both linear and local (weak) observability. The locally observable manifold is covered with three levels of Lie differentiations. It is possible, indeed, to reduce the set of indistinguishable... (Update)

Context of citations to this paper:   More

.... of structure from motion, a field that encompasses a vast variety of research efforts, such as [1, 3, 5, 9, 10, 12, 14, 15, 16, 18, 19, 21, 22, 23, 24, 25, 28, 29, 31]. Of all the work in SFM, we consider in particular causal estimation algorithms. A batch approach would...

.... structure of the environment, and the appropriate tools from nonlinear estimation identification theory start being exploited [16, 30, 59, 60]. The implementation of sophisticated vision algorithms running in real time is not too far from becoming reality and, due also to the...

Cited by:   More
Motion Estimation via Dynamic Vision - Soatto, Frezza, Perona (1994)   (Correct)
A Semi-direct Approach to Structure from Motion - Hailin Jin Paolo (2003)   (Correct)

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BibTeX entry:   (Update)

S. Soatto, Observability/identifiability of rigid motion under perspective projection, CDC, pp. 3235--40, 1994. http://citeseer.ist.psu.edu/426025.html   More

@misc{ soatto94observabilityidentifiability,
  author = "Stefano Soatto",
  title = "Observability/Identifiability of Rigid Motion under Perspective Projection",
  text = "S. Soatto, Observability/identifiability of rigid motion under perspective
    projection, CDC, pp. 3235--40, 1994.",
  year = "1994",
  url = "citeseer.ist.psu.edu/426025.html" }
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