On shape-preserving boundary conditions for diffusion smoothing:

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...

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Bibliographic Details
Main Author: Trucco, Emanuele (Author)
Format: Book
Language:English
Published: Edinburgh 1991
Series:University <Edinburgh> / Department of Artificial Intelligence: DAI research paper 550
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Summary: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 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."
Physical Description:8 S.