Scale Adaptive Filtering Derived from the Laplace Equation

In this paper, we present a new approach to scale-space which is derived from the 3D Laplace equation instead of the heat equation. The resulting lowpass and bandpass filters are discussed and they are related to the monogenic signal. As an application, we present a scale adaptive filtering which is used for denoising images. The adaptivity is based on the local energy of spherical quadrature filters and can also be used for sparse representation of images.

• Type: Conference
• Year: 2001
• Where: DAGM
• Authors: Michael Felsberg, Gerald Sommer
• Keywords: DAGM 2001, Heat Equation, Image Processing, Laplace Equation, Spherical Quadrature filters