Technical Reports (CIS)
Title
Document Type
Technical Report
Date of this Version
12-30-2001
Abstract
Data defined on spherical domains occurs in various applications, such as surface modeling, omnidirectional imaging, and the analysis of keypoints in volumetric data. The theory of spherical signals lacks important concepts like the Gaussian function, which is permanently used in planar image processing. We propose a definition of a spherical Gaussian function as the Green's function of the spherical diffusion process. This allows to introduce a linear scale space on the sphere. We apply this new filter to the smoothing of 3D object surfaces.
Recommended Citation
Thomas Bülow, "Spherical Diffusion", . December 2001.
Date Posted: 14 November 2007
Comments
University of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-01-38.