Image Processing via the Beltrami Operator

We present a framework for enhancing images while pre serving either the edge or the orientation dependent texture informa tion present in them We do this by treating images as manifolds in a feature space This geometrical interpretation leads to a natural way for grey level color movies volumetric medical data and color texture im age enhancement Following this we invoke the Polyakov action from high energy physics and develop a minimization procedure through a geometric ow This ow based on manifold volume minimization yields a natural enhancement procedure We apply this framework to edge preserving denoising of grey value and color images for volumetric med ical data and orientation preserving ows for grey level and color texture images