February 11, 2014, 4:00pm
Mario Micheli, Department of Mathematics, UW.
An Optimization Approach for Image Recovery Through Optical Turbulence
Abstract: The phenomenon that is commonly referred to as optical “turbulence” in imaging is caused by the time and space-varying refraction index of the air which is due, among other factors, to temperature, air pressure, humidity, and wind conditions between the acquired scene and the image-capturing device. The above described distortion may be modeled, at least to a first approximation, as the combination of a blurring effect and a time-dependent deformation of the image domain. After briefly introducing the mathematical modeling of images and video, in this talk I shall describe an algorithm that corrects for the geometric deformation and the blur that affect the images. Both the estimation of the image deformations and the deblurring algorithm are formulated as optimization problems, to be solved with variational techniques. Results from several experiments will be shown.