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     Billi Research Group

      Orthopaedic Biology, Wearable Technologies, 3D Printing, Smart and Functional Materials, and Smart Textiles.  Particle Analysis, Bone on-a-chip, Wearable Technologies, Sensor Fusion

    Wearable Technologies
    Bone Biology
    Smart Materials
    Biomaterials & Biomechanics
    Nanoparticles
    Failure Analysis
    Core Facilities
    Funding

    Fourier and Wavelet Analysis for Particle Shape and Texture Characterization

    Many descriptors and methods have been developed to characterize shapes. Common ones such as aspect ratio, equivalent spherical diameter, and symmetry reveal valuable information about the shapes being studied. However, the complex nature of orthopedic wear particles limits the capabilities of such simple descriptors.

    In order to effectively characterize wear particles with complex and reentrant boundaries, Discrete Fourier Transform (DFT) method has been investigated and applied. Traditionally used in signal processing, DFT treats the particle boundaries as periodic signals, and reveals information about general shape as well as fine textural details. A series of algorithms involving image processing have been developed using MATLAB to obtain normalized Fourier Descriptors that are invariant to translation, rotation, and scaling. Such descriptors can be used in future classification schemes.

    Currently we are also developing algorithms to apply Harmonic Wavelet Transform in analyzing the roughness of particle contours.

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