Analytical analysis of motion separability

TheScientificWorldJournal
Marjan Hadian JaziReza Hoseinnezhad

Abstract

Motion segmentation is an important task in computer vision and several practical approaches have already been developed. A common approach to motion segmentation is to use the optical flow and formulate the segmentation problem using a linear approximation of the brightness constancy constraints. Although there are numerous solutions to solve this problem and their accuracies and reliabilities have been studied, the exact definition of the segmentation problem, its theoretical feasibility and the conditions for successful motion segmentation are yet to be derived. This paper presents a simplified theoretical framework for the prediction of feasibility, of segmentation of a two-dimensional linear equation system. A statistical definition of a separable motion (structure) is presented and a relatively straightforward criterion for predicting the separability of two different motions in this framework is derived. The applicability of the proposed criterion for prediction of the existence of multiple motions in practice is examined using both synthetic and real image sequences. The prescribed separability criterion is useful in designing computer vision applications as it is solely based on the amount of relative motion and the sc...Continue Reading

References

Aug 27, 2005·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Timo KohlbergerJoachim Weickert
Dec 17, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·René VidalShankar Sastry
Aug 26, 2006·IEEE Transactions on Pattern Analysis and Machine Intelligence·Yeon-Ho Kim, Avinash C Kak
Jun 23, 2009·IEEE Transactions on Pattern Analysis and Machine Intelligence·Rozenn Dahyot
Aug 17, 2011·IEEE Transactions on Pattern Analysis and Machine Intelligence·Tat-Jun ChinDavid Suter

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