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Camera Self-Calibration: A Case Against Kruppa's Equations

Abstract : We consider the self-calibration problem for perspective cameras, and especially the best known practical method, the so-called Kruppa equation approach. It is known that for several common types of camera motion, self-calibration is degenerate, which manifests itself through the existence of ambiguous solutions. In a previous paper, we have studied these critical motion sequences in detail and have revealed their importance for practical applications. In this paper, we reveal a type of camera motion that is not critical for the generic self-calibration problem, but for which the Kruppa equation approach fails. This is the case if all optical centers lie on a sphere and if the optical axes pass through the sphere's center. This situation is very natural for 3D object modeling from photographs or image sequences. Our result is thus a contribution to the understanding of how to successfully apply self-calibration in practice.
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https://hal.inria.fr/inria-00525682
Contributor : Peter Sturm Connect in order to contact the contributor
Submitted on : Tuesday, October 12, 2010 - 2:28:16 PM
Last modification on : Thursday, April 28, 2022 - 12:34:02 AM

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Peter Sturm. Camera Self-Calibration: A Case Against Kruppa's Equations. IEEE International Conference on Image Processing (ICIP '98), Oct 1998, Chicago, United States. pp.172-175, ⟨10.1109/ICIP.1998.723340⟩. ⟨inria-00525682⟩

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