Andreev R, Scherzer O, Zulehner W
RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040 Linz, Austria.
RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040 Linz, Austria ; Computational Science Center, University of Vienna, Oskar-Morgenstern Platz 1, 1090 Wien, Austria.
Appl Numer Math. 2015 Oct;96:72-81. doi: 10.1016/j.apnum.2015.04.007.
We consider the simultaneous estimation of an optical flow field and an illumination source term in a movie sequence. The particular optical flow equation is obtained by assuming that the image intensity is a conserved quantity up to possible sources and sinks which represent varying illumination. We formulate this problem as an energy minimization problem and propose a space-time simultaneous discretization for the optimality system in saddle-point form. We investigate a preconditioning strategy that renders the discrete system well-conditioned uniformly in the discretization resolution. Numerical experiments complement the theory.
我们考虑对电影序列中的光流场和照明源项进行同时估计。通过假设图像强度是一个守恒量，直至代表变化照明的可能源和汇，得到了特定的光流方程。我们将此问题表述为一个能量最小化问题，并针对鞍点形式的最优性系统提出了一种时空同时离散化方法。我们研究了一种预处理策略，该策略使离散系统在离散化分辨率上均匀地具有良好的条件数。数值实验对理论进行了补充。
