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Maximum-likelihood multiresolution laser radar range imaging.

D R Greer1, I Fung, J H Shapiro

  • 1Dept. of Electr. Eng. and Comput. Sci., MIT, Cambridge, MA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
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Maximum-likelihood range imaging uses the expectation-maximization (EM) algorithm for precise laser radar data analysis. This method efficiently refines resolution for accurate imaging, approaching theoretical performance limits.

Area of Science:

  • * Applied physics
  • * Signal processing
  • * Computational imaging

Background:

  • * Coherent laser radar systems are crucial for remote sensing and imaging.
  • * Accurate range imaging is essential for interpreting laser radar data.
  • * Existing methods may lack computational efficiency or robustness.

Purpose of the Study:

  • * To develop a maximum-likelihood range imaging procedure for pulsed laser radar.
  • * To apply the expectation-maximization (EM) algorithm for multiresolution data fitting.
  • * To evaluate the efficiency and accuracy of the proposed method.

Main Methods:

  • * Employed the expectation-maximization (EM) algorithm for maximum-likelihood fitting.
  • * Utilized a multiresolution (wavelet) basis, specifically the Haar-wavelet basis.

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  • * Analyzed algorithm properties and performance using simulated and real laser radar data.

    • Main Results:

    • * Developed a computationally efficient and numerically robust range imaging procedure.
    • * Demonstrated that EM algorithm weights reliably indicate the optimal resolution stopping point.
    • * Achieved estimation performance close to the complete-data bound at the determined stopping point.

    Conclusions:

    • * The proposed EM-based maximum-likelihood range imaging is effective for pulsed laser radar.
    • * The Haar-wavelet basis specialization offers significant computational and robustness advantages.
    • * Weight-based termination criteria ensure optimal performance and approach theoretical limits.