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10.1145/2787626.2792658acmconferencesArticle/Chapter ViewAbstractPublication PagessiggraphConference Proceedingsconference-collections
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Burning the medial axis

Published: 31 July 2015 Publication History

Abstract

Medial axis is a classical shape descriptor that is widely used in computer graphics, computer vision, and pattern recognition. Defined elegantly as the locus of points with multiple nearest neighbors on the object boundary, the medial axis preserves both the structure and topology of the object in a compact form - a geometry that has one lower dimension than the object itself.

References

[1]
Blum, H. 1967. A transformation for extracting new descriptors of form. Models for the Perception of Speech and Visual Form, 362--80.
[2]
Dey, T. K., and Sun, J. 2006. Defining and computing curve-skeletons with medial geodesic function. In Symposium on Geometry Processing'06, 143--152.
[3]
Liu, L., Chambers, E. W., Letscher, D., and Ju, T. 2011. Extended grassfire transform on medial axes of 2d shapes. Comput. Aided Des. 43 (November), 1496--1505.

Cited By

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  • (2023)Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial AxisProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585113(1768-1776)Online publication date: 2-Jun-2023
  • (2018)A competition flow method for computing medial axis transformJournal of Computational and Applied Mathematics10.1016/j.cam.2018.03.002340(342-359)Online publication date: Oct-2018

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cover image ACM Conferences
SIGGRAPH '15: ACM SIGGRAPH 2015 Posters
July 2015
95 pages
ISBN:9781450336321
DOI:10.1145/2787626
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Publication History

Published: 31 July 2015

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Cited By

View all
  • (2023)Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial AxisProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585113(1768-1776)Online publication date: 2-Jun-2023
  • (2018)A competition flow method for computing medial axis transformJournal of Computational and Applied Mathematics10.1016/j.cam.2018.03.002340(342-359)Online publication date: Oct-2018

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