高效恢复相机辐射响应函数的差分方法

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"A Differential Approach for Computationally Efficient Recovery of Radiometric Response Function,作者:顾正晖,发表于《中国科技论文在线》" 这篇论文主要探讨了高动态范围成像(High Dynamic Range Imaging, HDR)中的一个重要问题——相机响应函数(Camera Response Function, CRF)的恢复。相机响应函数描述了相机传感器对场景亮度的转换关系,即从场景的辐射亮度到最终图像像素值的映射。在HDR成像中,准确估计CRF对于获取真实的场景光照信息至关重要,因为这直接影响到图像的动态范围和色彩准确性。 现有的CRF恢复方法众多,其中Debevec和Malik提出的算法被广泛应用,该算法基于多张不同曝光时间的照片来推断相机响应函数。然而,当曝光次数减少时,该算法的计算复杂度会显著增加,特别是在只有两张曝光照片的情况下,问题尤为突出。 顾正晖在这篇论文中提出了一种差分方法,旨在显著降低在仅有两张曝光照片情况下的计算复杂性。这种方法可能通过优化算法流程或者引入新的数学模型,使得在数据量有限的条件下,也能高效地估算出相机响应函数。这不仅提升了处理效率,还降低了对大量曝光图像的依赖,对于实时或资源受限的HDR成像系统具有重要意义。 论文可能详细阐述了新方法的理论基础、实现步骤以及与现有方法的比较。它可能包括了实验验证,通过对比分析证明了新方法在保持恢复精度的同时,显著降低了计算成本。此外,作者可能还讨论了这种方法的局限性、潜在的应用场景以及未来的研究方向。 这篇论文为HDR成像技术提供了一种新的、计算效率更高的相机响应函数恢复策略,对于推动HDR成像技术的发展,特别是对于那些需要快速响应和低功耗的环境,如移动设备或嵌入式系统,具有重要的实践价值。

帮我地道的翻译:The differential variational inequalities ((DVIs), for short) are useful for the study of models involving both dynamics and constraints in the form of in￾equalities. They arise in many applications: electrical circuits with ideal diodes, Coulomb friction problems for contacting bodies, economical dynamics, dynamic traffic networks. Pang and Stewart [26], [27] established the existence, unique￾ness, and Lipschitz dependence of solutions subject to boundary conditions for (DVIs) in finite dimensional spaces. Han and Pang investigated a class of dif￾ferential quasi-variational inequalities in [11], and Li, Huang and O’Regan [18] studied a class of differential mixed variational inequalities in finite dimensional Well-Posedness of Differential Mixed Quasi-Variational-Inequalities 137 spaces. Gwinner [8] obtained an equivalence result between (DVIs) and projected dynamical systems. In [9] he also proved a stability property for (DVIs) by using the monotonicity method of Browder and Minty, and Mosco set convergence. Chen and Wang [4] studied dynamic Nash equilibrium problems which have the formulation of differential mixed quasi-variational inequalities. Elastoplastic contact problems can also be incorporated into (DMQVIs) formulation because general dynamic processes in the nonsmooth unilateral contact problems are governed by quasi-variational inequalities. A numerical study for nonsmooth contact problems with Tresca friction can be found in [10], Liu, Loi and Obukhovskii [19] studied the existence and global bifurcation for periodic solutions of a class of (DVIs) by using the topological degree theory for multivalued maps and the method of guiding functions. For more details about (DVIs) we refer to [3], [30], [12], [22]–[21].

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