Globally convergent adaptive normal multi-scale transforms

Authors:
Stanislav Harizanov
Affiliations:
School of Engineering and Science, Jacobs University Bremen, Bremen, Germany
Venue:
Proceedings of the 7th international conference on Curves and Surfaces
Year:
2010

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Abstract

In this paper we introduce a family of globally well-posed and convergent normal multi-scale transforms with high-order detail decay rate for smooth curves, based on adaptivity. For one of the members in the family, we propose a concrete algorithm what the adaptive criteria should be, and provide numerical evidence for the implementation. We compare the performance of our algorithm with other normal multi-scale transforms.