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Image processing with the radial Hilbert transform: theory and experiments.

J A Davis, D E McNamara, D M Cottrell

    Optics Letters
    |December 7, 2007
    PubMed
    Summary
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    Researchers developed a new radially symmetric Hilbert transform for enhanced 2D image edge detection. This method overcomes limitations of the 1D transform, enabling edge enhancement for complex shapes.

    Area of Science:

    • Image Processing
    • Optical Engineering
    • Signal Processing

    Background:

    • The Hilbert transform is a valuable tool in image processing for edge enhancement.
    • Its one-dimensional nature limits its application to arbitrarily shaped 2D objects.

    Purpose of the Study:

    • To introduce a radially symmetric Hilbert transform for 2D edge enhancement.
    • To implement and experimentally validate 1D, 2D, and radial Hilbert transforms.

    Main Methods:

    • Implementation of 1D, 2D, and radial Hilbert transforms.
    • Utilizing a programmable phase-only liquid-crystal spatial light modulator for transform implementation.

    Main Results:

    • Demonstration of 2D edge enhancement capabilities.

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  • Experimental validation of the proposed radially symmetric Hilbert transform.

    • Conclusions:

    • The radially symmetric Hilbert transform extends edge enhancement to 2D objects.
    • The use of spatial light modulators provides a practical implementation method.