The Problem: In this research, we address the problem of whether two given images are digital photographs of the same scene under different photic parameter settings, or whether they are different physical scenes altogether. To do this, we develop a statistical linear model of color change space, by observing how the colors in static images change under naturally occurring lighting changes. Thi...

We use the multifractal formalism to describe the effects of dissipation on Lagrangian velocity statistics in turbulent flows. We analyze high Reynolds number experiments and direct numerical simulation data. We show that this approach reproduces the shape evolution of velocity increment probability density functions from Gaussian to stretched exponentials as the time lag decreases from integra...