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Compression, interpolation, and importance sampling for polarized BRDF models.

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    Summary
    This summary is machine-generated.

    This study compresses Mueller matrix data using triply degenerate (TD) eigenspectrum assumptions, reducing database size while preserving key polarimetric properties for rendering realistic materials.

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    Area of Science:

    • Computer Vision
    • Computer Graphics
    • Optics

    Background:

    • Accurate material representation in computer graphics requires detailed polarimetric data.
    • Existing Mueller measurement databases are large and computationally intensive.
    • Compressing these databases while maintaining physical accuracy is crucial for efficient rendering.

    Purpose of the Study:

    • To develop a compression method for the KAIST Mueller measurement database.
    • To maintain physical accuracy and dominant polarimetric properties after compression.
    • To enable polarimetric importance sampling for efficient rendering.

    Main Methods:

    • Assuming triply degeneracy (TD) in the Cloude coherency eigenspectrum to reparameterize the database into eight parameters.
    • Developing polarimetric importance sampling by interpreting the eigenspectrum as probabilities.
    • Rendering a sphere and complex scenes using compressed and uncompressed pBRDF models for comparison.

    Main Results:

    • The database was compressed by a factor of two, retaining physicality and dominant polarimetric properties.
    • Average deviations in polarizance angle (AoLP) and degree of linear polarization (DoLP) were 16.9° and 1.1% respectively.
    • Demonstrated the effectiveness of TD compression and polarimetric importance sampling in rendering complex scenes.

    Conclusions:

    • Triply degenerate (TD) compression is an effective method for reducing Mueller matrix database size.
    • Polarimetric importance sampling significantly improves rendering efficiency and convergence.
    • The proposed methods enable more physically accurate and computationally feasible polarimetric rendering.