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    This study introduces a novel bidirectional reflectance distribution function (BRDF) representation for photometric stereo with sparse lights. The new method improves normal map estimation for various surface appearances, outperforming existing techniques.

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    Area of Science:

    • Computer Vision
    • Computer Graphics
    • Material Science

    Background:

    • Photometric stereo aims to recover surface normals from images under varying lighting.
    • Sparse lighting conditions pose challenges for traditional photometric stereo methods.
    • Neural networks offer potential for handling complex material appearances in photometric stereo.

    Purpose of the Study:

    • To propose a novel BRDF representation for photometric stereo using sparse lights.
    • To optimize the computation of BRDF-based photometric stereo maps.
    • To evaluate the proposed method's performance against state-of-the-art algorithms.

    Main Methods:

    • A BRDF representation based on reflectance maps for sparse lights was developed.
    • Optimal computation strategies for BRDF-based photometric stereo maps were investigated.
    • The method was trained and tested using numerical rendering, DiliGenT, and custom acquisition systems.

    Main Results:

    • The proposed BRDF representation effectively handles various surface appearances, including specular and diffuse areas.
    • The method demonstrated superior performance in normal map estimation compared to observation maps.
    • Experimental results confirmed the effectiveness of the BRDF-based approach.

    Conclusions:

    • The novel BRDF representation is a significant advancement for sparse-light photometric stereo.
    • The proposed method offers improved accuracy and robustness for normal map estimation.
    • This work has implications for real-world applications requiring accurate 3D surface reconstruction.