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FROST-BRDF: A Fast and Robust Optimal Sampling Technique for BRDF Acquisition
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-4435-6784
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering. Kasetsart Univ, Thailand.ORCID iD: 0000-0002-3239-8581
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-1951-7515
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2024 (English)In: IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, E-ISSN 1941-0506, Vol. 30, no 7, p. 4390-4402Article in journal (Refereed) Published
Abstract [en]

Efficient and accurate BRDF acquisition of real world materials is a challenging research problem that requires sampling millions of incident light and viewing directions. To accelerate the acquisition process, one needs to find a minimal set of sampling directions such that the recovery of the full BRDF is accurate and robust given such samples. In this article, we formulate BRDF acquisition as a compressed sensing problem, where the sensing operator is one that performs sub-sampling of the BRDF signal according to a set of optimal sample directions. To solve this problem, we propose the Fast and Robust Optimal Sampling Technique (FROST) for designing a provably optimal sub-sampling operator that places light-view samples such that the recovery error is minimized. FROST casts the problem of designing an optimal sub-sampling operator for compressed sensing into a sparse representation formulation under the Multiple Measurement Vector (MMV) signal model. The proposed reformulation is exact, i.e. without any approximations, hence it converts an intractable combinatorial problem into one that can be solved with standard optimization techniques. As a result, FROST is accompanied by strong theoretical guarantees from the field of compressed sensing. We perform a thorough analysis of FROST-BRDF using a 10-fold cross-validation with publicly available BRDF datasets and show significant advantages compared to the state-of-the-art with respect to reconstruction quality. Finally, FROST is simple, both conceptually and in terms of implementation, it produces consistent results at each run, and it is at least two orders of magnitude faster than the prior art.

Place, publisher, year, edition, pages
IEEE COMPUTER SOC , 2024. Vol. 30, no 7, p. 4390-4402
Keywords [en]
Training; Dictionaries; Image reconstruction; Compressed sensing; Sensors; Optimization; Rendering (computer graphics); Rendering; compressed sensing; multiple measurement vector; SOMP; BRDF measurement; BRDF reconstruction
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-206575DOI: 10.1109/TVCG.2024.3355200ISI: 001258936700081PubMedID: 38231803OAI: oai:DiVA.org:liu-206575DiVA, id: diva2:1890765
Note

Funding Agencies|European Union [956585]

Available from: 2024-08-20 Created: 2024-08-20 Last updated: 2025-05-22
In thesis
1. Data-driven Reflectance Acquisition and Modeling for Predictive Rendering
Open this publication in new window or tab >>Data-driven Reflectance Acquisition and Modeling for Predictive Rendering
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Recent developments in computer graphics, and particularly within predictive rendering, have enabled highly realistic simulations of object appearances. While physically-based reflectance (PBR) models offer widespread utility, measured material reflectance data yields significantly higher accuracy through the direct empirical observation of complex light-scattering interactions. Nevertheless, acquiring and modeling reflectance data entails substantial computational overhead. This thesis investigates data-driven approaches to improve the acquisition, representation, and rendering of reflectance data, with a focus on predictive rendering to achieve precise and reliable visual simulations.

The first part of the thesis focuses on acquisition of Bidirectional Reflectance Distribution Function (BRDF) and Spatially Varying BRDF (SVBRDF)—functions that describe light-surface interactions at each point based on incoming and reflected light directions. Lightweight setups are initially explored to enable efficient SVBRDF capture; however, their accuracy falls short for predictive rendering applications, motivating the adoption of gonioreflectometer-based setups. To improve measurement efficiency of such setups, a compressed sensing framework is introduced, which incorporates a deterministic sampling strategy. Additionally, a unified formulation for sparse BRDF acquisition is presented, allowing for the adaptation of sampling patterns and sample counts to the unique properties of each material. This approach significantly enhances reconstruction quality while preserving the same sampling budget.

The second part of the thesis addresses modeling of reflectance measurements, particularly the Bidirectional Texture Function (BTF) and BRDF. Sparse representation techniques applied to existing BTF datasets prove effective in compressing texture data while enabling real-time rendering of the measured BTFs. Despite these advances, a discrepancy often arises between model-space errors introduced during approximation and the image-space errors perceived in rendered outputs. To bridge this gap, a systematic psychophysical experiment is performed to analyze the impact of BRDF modeling techniques on rendered material quality. Building on these findings, a neural metric is developed to evaluate perceptual accuracy directly in BRDF-space. This metric exhibits strong correlation with subjective human evaluations and presents the potential to guide BRDF fitting algorithms toward solutions that produce visually accurate and compelling renderings of real-world materials.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2025. p. 118
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 2457
National Category
Computer Sciences
Identifiers
urn:nbn:se:liu:diva-213776 (URN)10.3384/9789181181494 (DOI)9789181181487 (ISBN)9789181181494 (ISBN)
Public defence
2025-08-29, K3, Kåkenhus, Campus Norrköping, Norrköping, 09:15 (English)
Opponent
Supervisors
Available from: 2025-05-22 Created: 2025-05-22 Last updated: 2025-05-22Bibliographically approved

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