Critical Motion Sequences and Conjugacy of Ambiguous Euclidean Reconstructions

Peter Sturm 1
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : This paper deals with critical motion sequences, i.e. sequences of camera motions that lead to inherent ambiguities in uncalibrated Euclidean reconstruction or self-calibration. Concretely, we focus on how to deal with ambiguous reconstructions. We show that the ambiguous Euclidean reconstructions from a critical motion sequence are conjugated in a special sense. We discuss how these conjugacies may be used to identify all ambiguous Euclidean reconstructions, even if there are discrete solutions or disjoint families of solutions.
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Peter Sturm. Critical Motion Sequences and Conjugacy of Ambiguous Euclidean Reconstructions. 10th Scandinavian Conference on Image Analysis (SCIA '97), Jun 1997, Lappeenranta, Finland. pp.439-446. ⟨inria-00525687⟩

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