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不確かさ定量化arXiv:2503.14665

魔法の瞬間:放射輝度場モデルの微分可能な不確かさ定量化

These Magic Moments: Differentiable Uncertainty Quantification of Radiance Field Models

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レンダリング方程式の高次モーメントを利用し、放射輝度場の色・深度・意味予測の不確かさを微分可能かつ効率的に計算する手法を提案。次善視点選択や能動的レイサンプリングにも応用可能。

著者: Parker Ewen, Hao Chen, Seth Isaacson, Joey Wilson, Katherine A. Skinner, Ram Vasudevan

分類: cs.CV, cs.RO

原文アブストラクト

This paper introduces a novel approach to uncertainty quantification for radiance fields by leveraging higher-order moments of the rendering equation. Uncertainty quantification is crucial for downstream tasks including view planning and scene understanding, where safety and robustness are paramount. However, the high dimensionality and complexity of radiance fields pose significant challenges for uncertainty quantification, limiting the use of these uncertainty quantification methods in high-speed decision-making. We demonstrate that the probabilistic nature of the rendering process enables efficient and differentiable computation of higher-order moments for radiance field outputs, including color, depth, and semantic predictions. Our method outperforms existing radiance field uncertainty estimation techniques while offering a more direct, computationally efficient, and differentiable formulation without the need for post-processing. Beyond uncertainty quantification, we also illustrate the utility of our approach in downstream applications such as next-best-view (NBV) selection and active ray sampling for neural radiance field training. Extensive experiments on synthetic and real-world scenes confirm the efficacy of our approach, which achieves state-of-the-art performance while maintaining simplicity.

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