Error analysis of SFM under weak-perspective projection

Authors:
Loong-Fah Cheong;Shimiao Li
Affiliations:
Department of Electrical and Computer Engineering, National University of Singapore, Singapore;Department of Electrical and Computer Engineering, National University of Singapore, Singapore
Venue:
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
Year:
2006

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Abstract

Despite the long history of studies on weak-perspective projection and the intuitive notion that this model has better numerical stability compared to the perspective model under appropriate conditions, there lacks a deep understanding about the error characteristics of motion and depth recovery process under this model. In this paper, we present the differential approach to SFM under weak-perspective projection. Based on this approach, error behavior which governs the formation of motion ambiguities under weak-perspective is investigated. Recovery of depth information and its distortion are also discussed. Regions where ordinal depth can be extracted is shown to be following a simple relationship under all types of motion, a different result compared to the case of perspective projection.