Parametric Integration with Neural Integral Operators

๐Ÿ“… 2025-07-23
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๐Ÿค– AI Summary
In real-time rendering, noise in lighting transport simulation remains a persistent challenge due to strict sampling budget constraints. Conventional denoisers operate post-shading, struggling to simultaneously ensure material-agnostic generalization and high-fidelity noise suppression. This paper introduces Material-Agnostic Denoising (MAD), a novel paradigm that models the unoccluded lighting integral *before* shading. Its core innovation is a parameterized neural integration operator that treats light transport as a learnable continuous function mappingโ€”jointly generalizing across scene geometry, light configurations, and BRDF parameters. MAD requires only single-frame supervision, enables efficient training, and natively supports temporal antialiasing and integration into existing denoising pipelines. Experiments demonstrate substantial improvements in image fidelity and material consistency while maintaining real-time performance, providing a seamless, robust denoising solution for physically based rendering workflows.

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๐Ÿ“ Abstract
Real-time rendering imposes strict limitations on the sampling budget for light transport simulation, often resulting in noisy images. However, denoisers have demonstrated that it is possible to produce noise-free images through filtering. We enhance image quality by removing noise before material shading, rather than filtering already shaded noisy images. This approach allows for material-agnostic denoising (MAD) and leverages machine learning by approximating the light transport integral operator with a neural network, effectively performing parametric integration with neural operators. Our method operates in real-time, requires data from only a single frame, seamlessly integrates with existing denoisers and temporal anti-aliasing techniques, and is efficient to train. Additionally, it is straightforward to incorporate with physically based rendering algorithms.
Problem

Research questions and friction points this paper is trying to address.

Reducing noise in real-time rendering before material shading
Achieving material-agnostic denoising via neural integral operators
Integrating with existing denoisers and temporal anti-aliasing techniques
Innovation

Methods, ideas, or system contributions that make the work stand out.

Material-agnostic denoising before shading
Neural network approximates light transport
Real-time single-frame data processing
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Christoph Schied
NVIDIA, Fasanenstr. 81, 10623 Berlin, Germany
Alexander Keller
Alexander Keller
NVIDIA
Foundations of GraphicsCommunicationsand Machine Learning