Complex Diffusion on Scalar and Vector Valued Image Graphs

Complex diffusion was introduced in the image processing literature as a means to achieve simultaneous denoising and enhancement of scalar valued images. In this paper, we present a novel geometric framework to achieve complex diffusion for color images represented by image graphs. In this framework, we develop a novel variational formulation that involves a modified harmonic map functional and is quite distinct from the Polyakov action described by Sochen et al. Our formulation provides a novel framework for simultaneous feature preserving denoising and enhancement. We also develop a quaternionic diffusion that can be applied to color image data represented by a quaternion in the image graph framework. In this framework, the real and imaginary parts can be interpreted as low and high-pass filtered data respectively. Finally, we suggest novel ways to use the imaginary part of complex diffusion toward image reconstruction. We present results of comparison between the complex diffusion, ...

• Type: Conference
• Year: 2009
• Where: EMMCVPR
• Authors: Dohyung Seo, Baba C. Vemuri
• Keywords: Complex Diffusion, Computer Vision, EMMCVPR 2009, Image Graph, Image Graph Framework