Statistical analysis on manifolds and its applications to video analysis

Pavan Turaga, Ashok Veeraraghavan, Anuj Srivastava, Rama Chellappa

Research output: Chapter in Book/Report/Conference proceedingChapter

10 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Title of host publicationStudies in Computational Intelligence
Pages115-144
Number of pages30
Volume287
DOIs
StatePublished - 2010
Externally publishedYes

Publication series

NameStudies in Computational Intelligence
Volume287
ISSN (Print)1860949X

Fingerprint

Statistical methods
Biometrics
User interfaces

ASJC Scopus subject areas

  • Artificial Intelligence

Cite this

Turaga, P., Veeraraghavan, A., Srivastava, A., & Chellappa, R. (2010). Statistical analysis on manifolds and its applications to video analysis. In Studies in Computational Intelligence (Vol. 287, pp. 115-144). (Studies in Computational Intelligence; Vol. 287). https://doi.org/10.1007/978-3-642-12900-1_5

Statistical analysis on manifolds and its applications to video analysis. / Turaga, Pavan; Veeraraghavan, Ashok; Srivastava, Anuj; Chellappa, Rama.

Studies in Computational Intelligence. Vol. 287 2010. p. 115-144 (Studies in Computational Intelligence; Vol. 287).

Research output: Chapter in Book/Report/Conference proceedingChapter

Turaga, P, Veeraraghavan, A, Srivastava, A & Chellappa, R 2010, Statistical analysis on manifolds and its applications to video analysis. in Studies in Computational Intelligence. vol. 287, Studies in Computational Intelligence, vol. 287, pp. 115-144. https://doi.org/10.1007/978-3-642-12900-1_5
Turaga P, Veeraraghavan A, Srivastava A, Chellappa R. Statistical analysis on manifolds and its applications to video analysis. In Studies in Computational Intelligence. Vol. 287. 2010. p. 115-144. (Studies in Computational Intelligence). https://doi.org/10.1007/978-3-642-12900-1_5
Turaga, Pavan ; Veeraraghavan, Ashok ; Srivastava, Anuj ; Chellappa, Rama. / Statistical analysis on manifolds and its applications to video analysis. Studies in Computational Intelligence. Vol. 287 2010. pp. 115-144 (Studies in Computational Intelligence).
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