Designing and Fabricating Color BRDFs with Differentiable Wave Optics

Modeling surface reflectance is central to connecting optical theory with real-world rendering and fabrication. While analytic BRDFs remain standard in rendering, recent advances in geometric and wave optics have expanded the design space for complex reflectance effects. However, existing wave-optics-based methods are limited to controlling reflectance intensity only, lacking the ability to design full-spectrum, color-dependent BRDFs. In this work, we present the first method for designing and fabricating color BRDFs using a fully differentiable wave optics framework. Our differentiable and memory-efficient simulation framework supports end-to-end optimization of microstructured surfaces under scalar diffraction theory, enabling joint control over both angular intensity and spectral color of reflectance. We leverage grayscale lithography with a feature size of 1.5–2.0 μ m to fabricate 15 BRDFs spanning four representative categories: anti-mirrors, pictorial reflections, structural colors, and iridescences. Compared to prior work, our approach achieves significantly higher fidelity and broader design flexibility, producing physically accurate and visually compelling results. By providing a practical and extensible solution for full-color BRDF design and fabrication, our method opens up new opportunities in structural coloration, product design, security printing, and advanced manufacturing.

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Publication Details

Journal
ACM Transactions on Graphics
Published
2025-12-01
DOI
https://doi.org/10.1145/3763275
Primary Topic
Computer Graphics and Visualization Techniques
Type
article
Field-Weighted Citation Impact
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article

Designing and Fabricating Color BRDFs with Differentiable Wave Optics

Kaizhang Kang, Ki-Seok Choi, Hongzhi Wu, Min H. Kim et al.
ACM Transactions on Graphics
Computer Graphics and Visualization Techniques
article

Designing and Fabricating Color BRDFs with Differentiable Wave Optics

Kaizhang Kang, Ki-Seok Choi, Hongzhi Wu, Min H. Kim, Wolfgang Heidrich, Hadi Amata, Yixin Zeng
article en

Abstract

Modeling surface reflectance is central to connecting optical theory with real-world rendering and fabrication. While analytic BRDFs remain standard in rendering, recent advances in geometric and wave optics have expanded the design space for complex reflectance effects. However, existing wave-optics-based methods are limited to controlling reflectance intensity only, lacking the ability to design full-spectrum, color-dependent BRDFs. In this work, we present the first method for designing and fabricating color BRDFs using a fully differentiable wave optics framework. Our differentiable and memory-efficient simulation framework supports end-to-end optimization of microstructured surfaces under scalar diffraction theory, enabling joint control over both angular intensity and spectral color of reflectance. We leverage grayscale lithography with a feature size of 1.5–2.0 μ m to fabricate 15 BRDFs spanning four representative categories: anti-mirrors, pictorial reflections, structural colors, and iridescences. Compared to prior work, our approach achieves significantly higher fidelity and broader design flexibility, producing physically accurate and visually compelling results. By providing a practical and extensible solution for full-color BRDF design and fabrication, our method opens up new opportunities in structural coloration, product design, security printing, and advanced manufacturing.

ACM Transactions on GraphicsVol. 44(6)
Korea Advanced Institute of Science and Technology (KR), King Abdullah University of Science and Technology (SA), Zhejiang University (CN)
Openalex Percentile: Top 41%
Computer Graphics and Visualization Techniques
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