• Title/Summary/Keyword: Truncated URV Decomposition

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A Fast and Efficient Sliding Window based URV Decomposition Algorithm for Template Tracking (템플릿 추적 문제를 위한 효율적인 슬라이딩 윈도우 기반 URV Decomposition 알고리즘)

  • Lee, Geunseop
    • Journal of Korea Multimedia Society
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    • v.22 no.1
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    • pp.35-43
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    • 2019
  • Template tracking refers to the procedure of finding the most similar image patch corresponding to the given template through an image sequence. In order to obtain more accurate trajectory of the template, the template requires to be updated to reflect various appearance changes as it traverses through an image sequence. To do that, appearance images are used to model appearance variations and these are obtained by the computation of the principal components of the augmented image matrix at every iteration. Unfortunately, it is prohibitively expensive to compute the principal components at every iteration. Thus in this paper, we suggest a new Sliding Window based truncated URV Decomposition (TURVD) algorithm which enables updating their structure by recycling their previous decomposition instead of decomposing the image matrix from the beginning. Specifically, we show an efficient algorithm for updating and downdating the TURVD simultaneously, followed by the rank-one update to the TURVD while tracking the decomposition error accurately and adjusting the truncation level adaptively. Experiments show that the proposed algorithm produces no-meaningful differences but much faster execution speed compared to the typical algorithms in template tracking applications, thereby maintaining a good approximation for the principal components.