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Computation of optical flow using basis functions.

S Rakshit1, C H Anderson

  • 1Centre for Artificial Intelligence and Robotics, Bangalore.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
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This study optimizes optical flow computation by analyzing image representation redundancy. Minimum computation cost for accurate optical flow estimation is achieved with images resampled at twice the Nyquist rate.

Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Mathematics

Background:

  • Optical flow estimation is crucial for analyzing motion in image sequences.
  • Existing methods face challenges in balancing accuracy and computational cost.
  • The choice of image representation significantly impacts algorithm performance.

Purpose of the Study:

  • To investigate the relationship between image representation redundancy and optical flow computation cost.
  • To reformulate Horn's algorithm for explicit analysis of basis function approximations.
  • To determine optimal image sampling rates for efficient optical flow estimation.

Main Methods:

  • Reformulation of Horn's (1986) optical flow algorithm.
  • Analysis of approximations to continuous basis functions in discrete representations.

Related Experiment Videos

  • Investigation of derivative calculation and multiresolution representations.
  • Development of a multiresolution basis function formulation.

    • Main Results:

    • Accuracy-computation cost trade-off is directly dependent on image representation redundancy.
    • Minimum computation cost for a fixed error tolerance occurs at twice the Nyquist sampling rate.
    • Multiresolution basis function formulation significantly improves handling of high frequencies and large displacements.

    Conclusions:

    • Image representation redundancy is a key factor in optimizing optical flow algorithms.
    • Resampling images at twice the Nyquist rate offers computational efficiency.
    • The proposed multiresolution approach enhances robustness for complex motion scenarios.