Underwater Color Restoration with Vanishing Uncertainty
This study addresses the ill-posed nature and lack of scientific confidence in underwater color restoration by investigating its theoretical solvability boundaries. Through mathematical analysis and uncertainty modeling, we establish ideal conditions under which restoration uncertainty is bounded and converges to zero as camera spatial resolution increases. The research demonstrates that high resolution guarantees asymptotic certainty of restoration results under specific constraints, thereby filling the theoretical gap regarding solvability in this domain. Furthermore, this work effectively bridges the cognitive divide between theoretical derivation and empirical validation, providing a rigorous mathematical foundation and reliability assurance for underwater visual restoration.