The University of Edinburgh -
Division of Informatics
Forrest Hill & 80 South Bridge

Research Paper #550

Title:On Shape-Preserving Boundary Conditions for Diffusion Smoothing
Date:Sep 1991
Presented:Submitted to IEEE Int. Conf. on Robotics and Automation, Nice, May, 1992
Abstract:A common problem in the literature of range data analysis is to segment a smoothed discrete surface by estimating the sign of the mean and gaussian curvatures at each point. Smoothing, however, introduces a distortion which can corrupt the curvature signs near the boundaries. In this paper we model gaussian smoothing by a diffusion equation, a general mathematical framework particularly useful for a scale-space analysis, and introduce an adaptive shape-preserving boundary condition for diffusion smoothing of range images. We show how this condition is more general than similar techniques found in the literature.

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