Combining Curvature Motion and Edge-Preserving Denoising

Abstract. In this paper we investigate a family of partial dierential equations (PDEs) for image processing which can be regarded as isotropic nonlinear diusion with an additional factor on the right-hand side. The one-dimensional analogues to this lter class have been motivated as scaling limits of one-dimensional adaptive averaging schemes. In 2-D, mean curvature motion is one of the most prominent examples of this family of PDEs. Other representatives of the lter class combine properties of curvature motion with the enhanced edge preservation of Perona-Malik diusion. It becomes appearent that these PDEs require a careful discretisation. Numerical experiments display the dierences between Perona-Malik diusion, classical mean curvature motion and the proposed extensions. We consider, for example, enhanced edge sharpness, the question of morphological invariance, and the behaviour with respect to noise.

• Type: Conference
• Year: 2007
• Where: SCALESPACE
• Authors: Stephan Didas, Joachim Weickert
• Keywords: Curvature Motion, Di Usion, Mean Curvature Motion, SCALESPACE 2007