caa a22 4500 46791446X CHVBK 20180406152858.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s11263-006-5157-4 doi (NATIONALLICENCE)springer-10.1007/s11263-006-5157-4 On Single-Sequence and Multi-Sequence Factorizations [Elektronische Daten] [Lihi Zelnik-Manor, Michal Irani] Subspace based factorization methods are commonly used for a variety of applications, such as 3D reconstruction, multi-body segmentation and optical flow estimation. These are usually applied to a single video sequence. In this paper we present an analysis of the multi-sequence case and place it under a single framework with the single sequence case. In particular, we start by analyzing the characteristics of subspace based spatial and temporal segmentation. We show that in many cases objects moving with different 3D motions will be captured as a single object using multi-body (spatial) factorization approaches. Similarly, frames viewing different shapes might be grouped as displaying the same shape in the temporal factorization framework. Temporal factorization provides temporal grouping of frames by employing a subspace based approach to capture non-rigid shape changes (Zelnik-Manor and Irani, 2004). We analyze what causes these degeneracies and show that in the case of multiple sequences these can be made useful and provide information for both temporal synchronization of sequences and spatial matching of points across sequences. Springer Science + Business Media, Inc, 2006 factorization nationallicence subspace based methods nationallicence multi-body segmentation nationallicence temporal synchronization nationallicence multi-sequence matching nationallicence Zelnik-Manor Lihi Department of Electrical Engineering, California Institute of Technology, 91125, Pasadena, CA, USA aut Irani Michal Department of Computer Science and Applied Math, The Weizmann Institute of Science, 76100, Rehovot, Israel aut International Journal of Computer Vision Kluwer Academic Publishers 67/3(2006-05-01), 313-326 0920-5691 67:3<313 2006 67 11263 https://doi.org/10.1007/s11263-006-5157-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-006-5157-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zelnik-Manor Lihi Department of Electrical Engineering, California Institute of Technology, 91125, Pasadena, CA, USA aut NATIONALLICENCE 700 1- Irani Michal Department of Computer Science and Applied Math, The Weizmann Institute of Science, 76100, Rehovot, Israel aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 67/3(2006-05-01), 313-326 0920-5691 67:3<313 2006 67 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer