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Pattern recognition using invariants defined from higher order spectra: 2-D image inputs.

V Chandran1, B Carswell, B Boashash

  • 1Sch. of Electr. and Electron. Syst. Eng., Queensland Univ. of Technol., Brisbane, Qld.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
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This study introduces a novel algorithm using higher-order spectra for robust object recognition. The method enhances noise immunity and achieves invariance, leading to effective image classification.

Area of Science:

  • Computer Vision
  • Image Processing
  • Pattern Recognition

Background:

  • Object recognition systems require robust feature extraction methods.
  • Traditional methods often struggle with noise and variations in scale, translation, and rotation.
  • Incorporating nonlinearity is crucial for effective classification with simple models.

Purpose of the Study:

  • To develop a new algorithm for image feature extraction using higher-order spectra.
  • To achieve translation, scale, and rotation invariance in feature representation.
  • To enhance noise immunity and enable the use of simple classifiers for object recognition.

Main Methods:

  • Utilizing the Radon and Fourier transforms to reduce 2D images to 1D functions.
  • Computing the deterministic bispectrum (a triple product of Fourier coefficients) for each 1D function.

Related Experiment Videos

  • Integrating bispectra in bifrequency space and applying invariant extraction techniques for rotation invariance.
  • Main Results:

    • Demonstrated translation- and scale-invariant phases of integrated bispectra.
    • Achieved rotation invariance by converting it to translation invariance in a second stage.
    • Observed linearly separable clusters in feature space for both synthetic and real images.
    • Verified superior noise immunity compared to moment invariants.

    Conclusions:

    • The higher-order spectra-based algorithm effectively extracts features for object recognition.
    • The method incorporates necessary nonlinearity, allowing for simple classifier use.
    • The algorithm exhibits robust performance with good noise immunity and invariance properties.