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Image motion estimation algorithms using cumulants.

J M Anderson1, G B Giannakis

  • 1Dept. of Electr. Eng., Florida Univ., Gainesville, FL.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1995
PubMed
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This study introduces novel algorithms for estimating object displacement in images by analyzing signal cumulants. These methods unify deterministic and stochastic approaches for accurate motion tracking in noisy image sequences.

Area of Science:

  • Digital Image Processing
  • Signal Processing
  • Computer Vision

Background:

  • Estimating object motion between image frames is crucial for various applications.
  • Existing methods often struggle with non-Gaussian signals or correlated Gaussian noise.
  • A unified approach for both stochastic and deterministic signals is needed.

Purpose of the Study:

  • To develop a class of algorithms for accurate displacement vector estimation from two image frames.
  • To unify stochastic and deterministic signal models using cumulant estimators.
  • To address challenges posed by non-Gaussian signals and correlated Gaussian noise.

Main Methods:

  • Utilizing third-order auto-cumulants and cross-cumulants to estimate displacement vectors.
  • Developing a block-matching algorithm based on a cumulant-error optimality criterion.

Related Experiment Videos

  • Employing a recursive algorithm to minimize a mean 2D fourth-order cumulant criterion for pel-level estimation.

    • Main Results:

    • The proposed algorithms effectively estimate displacement vectors in the presence of signal plus noise.
    • A unified framework for stochastic and deterministic signal viewpoints is established.
    • Simulation results demonstrate the performance of the developed algorithms.

    Conclusions:

    • The presented cumulant-based algorithms offer a robust method for image motion estimation.
    • The unified approach enhances the applicability of motion estimation techniques.
    • The algorithms show promise for applications requiring precise displacement vector calculation.