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An improved recursive median filtering scheme for image processing.

G Qiu1

  • 1Sch. of Comput. and Math., Derby Univ.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1996
PubMed
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A new recursive median filter design method optimizes image processing by minimizing a cost function. This approach offers improved mean square error performance compared to standard filters for noisy images.

Area of Science:

  • Digital Image Processing
  • Signal Processing
  • Optimization Techniques

Background:

  • Median filtering is a crucial technique in image processing for noise reduction.
  • Existing median filtering methods can be computationally intensive and may not always yield optimal results.
  • The functional optimization property of median filtering, minimizing a two-term cost function, provides a basis for novel filter design.

Purpose of the Study:

  • To introduce a new approach for designing recursive median filters.
  • To leverage the optimization property of median filtering for enhanced image processing.
  • To demonstrate improved performance over standard recursive median filters.

Main Methods:

  • Developed a novel recursive median filter design based on minimizing a two-term cost function.

Related Experiment Videos

  • Proved the convergence of the new design approach to a root in a finite number of iterations.
  • Applied the new filter to process a real image corrupted by pseudorandom impulsive noise.

    • Main Results:

    • The proposed recursive median filter design guarantees convergence.
    • The new scheme demonstrates superior performance in reducing pseudorandom impulsive noise.
    • Achieved improved mean square error (MSE) performance compared to standard recursive median filters.

    Conclusions:

    • The new recursive median filter design effectively utilizes functional optimization principles.
    • This method offers a robust and efficient solution for image denoising applications.
    • The proposed approach represents a significant advancement in recursive median filtering for image processing.