Turbulence in Optical Flow Fields

In this thesis I will examine the relations between turbulence as found in physical systems and turbulence in optic ow elds. I will record some image sequences of a theoretically well understood turbulent physical system and from these image sequences I will examine the relations between the optic ow of the image sequences and the physical parameters of the turbulent system. I will examine the image sequences at di erent scales using the theory of linear Gaussian scale-space, because linear Gaussian scale-space has proven to be a valuable tool in digital image processing and because the physics of turbulence can be explained through scaling properties of the turbulent ow. From these analyses I hope to be able to describe the theoretical relations between turbulence in optic ow elds and turbulence in physical systems. I have obtained the permission to borrow and use equipment and experimental setup for the recording of the image sequences by Preben Alstr m and Mogens Levinsen from the Niels Bohr Institute (NBI). This abstract is a translated version of the description of the project (\Arbejdsbeskrivelse"), delivered to the administration of DIKU at the start of this project.