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  One-sided stability of MAT and its applications

Choi, S. W., & Seidel, H.-P. (2001). One-sided stability of MAT and its applications. In T. Ertl, B. Girod, G. Greiner, H. Niemann, & H.-P. Seidel (Eds.), Vision, Modeling and Visualization 2001 (VMV-2001) (pp. 291-298). Berlin, Germany: Akademische Verlagsgesellschaft Aka.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-32B4-E Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-32B5-C
Genre: Conference Paper

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 Creators:
Choi, Sung Woo1, Author           
Seidel, Hans-Peter1, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: Although useful in many applications, the medial axis transform (MAT) has a few fit-falls, one of which is its extreme sensitivity to the boundary perturbation. In this paper, we first summarizes the previous attempts to get around this by bounding the one-sided Hausdorff distance of the MAT with respect to the boundary perturbation. We illustrate these results and their optimality with various examples. Finally, we suggest an application of them in pruning. In particular, we discuss the advantage of the results for the domains which are not weakly injective, over those for the weakly injective ones.

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Language(s): eng - English
 Dates: 2010-03-122001
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Akademische Verlagsgesellschaft Aka
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 520220
Other: Local-ID: C125675300671F7B-897A41C25B5031ADC1256A8D004B1373-ChoiSeidel2001c
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Title: Untitled Event
Place of Event: Stuttgart, Germany
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Title: Vision, Modeling and Visualization 2001 (VMV-2001)
Source Genre: Proceedings
 Creator(s):
Ertl, Thomas, Editor
Girod, Bernd, Editor
Greiner, Günther, Editor
Niemann, Heinrich, Editor
Seidel, Hans-Peter1, Editor           
Affiliations:
1 Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047            
Publ. Info: Berlin, Germany : Akademische Verlagsgesellschaft Aka
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 291 - 298 Identifier: -