基于消失不确定性的水下色彩复原
Underwater Color Restoration with Vanishing Uncertainty
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- University of Haifa（海法大学）
- Interuniversity Institute for Marine Sciences（校际海洋科学研究所）
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中文总结 AI 辅助
本文针对水下色彩复原的不适定问题，研究其理论层面的差距，确定了随相机分辨率提高不确定性收敛至零的理想条件，为实现高置信度的水下色彩复原提供理论支撑。
中文摘要 AI 辅助
水下色彩复原有望将色彩作为水生科学的可靠信号，但以科学置信度实现这一目标仍遥不可及。当前方法几乎仅基于经验进行验证，仅在使用已知真值进行端到端测试覆盖了可能能见度条件的巨大多样性时，才会提供相应置信度。更严重的是，从完整数学一般性角度考虑，色彩复原是一个严重不适定问题，需要额外约束将解缩小到有限不确定性区间。理论上充分的约束与真实数据满足的约束之间的差距尚未得到充分理解，导致现有方法是否在解决一个实际可解的问题尚不明确。本文研究该差距的理论层面，确定了理想条件，这些条件保证不确定性有界，且会随相机空间分辨率提高收敛至零。
英文摘要
Underwater color restoration promises to unlock color as a reliable signal for aquatic sciences, but achieving this with scientific confidence remains out of reach. Current methods are validated almost exclusively on an empirical basis, which provides confidence only to the extent that the vast diversity of possible visibility conditions is covered with end-to-end testing using a known ground truth. This is exacerbated by color restoration being a fatally ill-posed problem when considered in full mathematical generality, requiring additional constraints to narrow the solution to a finite uncertainty interval. The gap between which constraints suffice in theory and which constraints are satisfied by real-world data is poorly understood, making it unclear whether existing methods are solving a problem that is actually solvable. In this article, we investigate the theoretical side of this gap, identifying idealized conditions which guarantee bounded uncertainty that converges to zero as the spatial resolution of the camera increases.
