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Wald's Sequential Analysis for Time-constrained Vision Problems


Matas, Jiří, Šochman, Jan
ICRA
IEEE International Conference on Robotics and Automation, Workshops and Tutorials
Pages 10
April, 2007

Abstract

In detection and matching problems in computer vision, both classification errors and time to decision characterize the quality of an algorithmic solution. We show how to formalize such problems in the framework of sequential decision-making and derive quasi-optimal time-constrained solutions for three vision problems.

The methodology is applied to face and interest point detection and to the RANSAC robust estimator. Error rates of the face detector proposed algorithm are comparable to the state-of-the-art methods. In the interest point application, the output of the Hessian-Laplace detector [Mikolajczyk-IJCV04] is approximated by a sequential WaldBoost classifier which is about five times faster than the original with comparable repeatability. A sequential strategy based on Wald's SPRT for evaluation of model quality in RANSAC leads to significant speed-up in geometric matching problems.

Keywords

sequential analysis, WaldBoost, RANSAC, interest points

Full Paper

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Bibtex entry

@InProceedings{MatasICRA2007,
  author =      {Matas, Ji{\vr}{\'i} and {\vS}ochman, Jan},
  title =       {Wald's Sequential Analysis for Time-constrained 
                 Vision Problems},
  year =        {2007},
  pages =       {10},
  booktitle =   {IEEE International Conference on Robotics and Automation, 
                 Workshops and Tutorials},
  editor =      {Seth Hutchinson},
  isbn =        {none},
  month =       {April},
  day =         {10-14},
  venue =       {Roma, Italy},
  organization = {IEEE},
  annote = {In detection and matching problems in computer vision,
    both classification errors and time to decision characterize the
    quality of an algorithmic solution. We show how to formalize such
    problems in the framework of sequential decision-making and derive
    quasi-optimal time-constrained solutions for three vision
    problems.

    The methodology is applied to face and interest point detection
    and to the RANSAC robust estimator. Error rates of the face
    detector proposed algorithm are comparable to the state-of-the-art
    methods. In the interest point application, the output of the
    Hessian-Laplace detector [Mikolajczyk-IJCV04] is approximated by a
    sequential WaldBoost classifier which is about five times faster
    than the original with comparable repeatability.  A sequential
    strategy based on Wald's SPRT for evaluation of model quality in
    RANSAC leads to significant speed-up in geometric matching
    problems.},
  keywords =    {sequential analysis, WaldBoost, RANSAC, interest points},
  note =        {CDROM, invited paper},
psurl       = {[PDF, 2.5 MB] },
}