Statistical Analysis on Manifolds and Its Applications to Video Analysis
| Citation: |
Turaga, P.; Veeraraghavan, A.N.; Srivastava, A.; Chellappa, R., "Statistical Analysis on Manifolds and Its Applications to Video Analysis", Video Search and Mining, ISSN: 1860-949X, Vol. 287/2010, pp. 115-144, April 2010 (SpringerLink) |
| MERL Report: | TR2010-022 |
The analysis and interpretation of video data is an important component of modern vision applications such as biometrics, surveillance, motionsynthesis and web-based user interfaces. A common requirement among these very different applications is the ability to learn statistical models of appearance and motion from a collection of videos, and then use them for recognizing actions or persons in a new video. These applications in video analysis require statistical inference methods to be devised on non-Euclidean spaces or more formally on manifolds. This chapter outlines a broad survey of applications in video analysis that involve manifolds. We develop the required mathematical tools needed to perform statistical inference on manifolds and show their effectiveness in real video-understanding applications.
