English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 Local TagsRelease HistoryDetailsSummary
  One-sided Stability of Medial Axis Transform

Choi, S. W., & Seidel, H.-P. (2001). One-sided Stability of Medial Axis Transform. In B. Radig, & S. Florczyk (Eds.), Pattern Recognition (pp. 132-139). Vienna, Austria: Springer.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-32B6-A Version Permalink: https://hdl.handle.net/21.11116/0000-000E-6D77-3
Genre: Conference Paper

Files

show Files

Locators

show
hide
Locator:
https://rdcu.be/dyNkt (Publisher version)
Description:
-
OA-Status:
Not specified

Creators

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

Content

show
hide
Free keywords: -
 Abstract: Medial axis transform (MAT)
is very sensitive to the noise,
in the sense that, even if a shape
is perturbed only slightly,
the Hausdorff distance between the
MATs of the original shape and the perturbed one
may be large.
But it turns out that MAT is stable,
if we view this phenomenon with the one-sided Hausdorff
distance, rather than with the two-sided Hausdorff distance.
In this paper, we show that,
if the original domain is weakly injective,
which means that the MAT of the domain has no end point which
is the center of an inscribed circle osculating the boundary at
only one point,
the one-sided Hausdorff distance of the original domain's MAT
with respect to that of the perturbed one
is bounded linearly
with the Hausdorff distance of the perturbation.
We also show by example that the linearity of this bound
cannot be achieved for the domains which are not weakly injective.
In particular, these results
apply to
the domains with the sharp corners,
which were excluded in the past.
One consequence of these results is that
we can clarify theoretically
the notion of extracting ``the essential part of the MAT'',
which is the heart of the existing pruning methods.

Details

show
hide
Language(s): eng - English
 Dates: 2010-03-122001
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 520218
Other: Local-ID: C125675300671F7B-09AA63AD30214C0EC1256A8D003B0425-ChoiSeidel2001b
DOI: 10.1007/3-540-45404-7_18
BibTex Citekey: Choi-Seidel_DAGM01
 Degree: -

Event

show
hide
Title: 23rd DAGM Symposium on Pattern Recognition
Place of Event: Munich, Germany
Start-/End Date: 2001-09-12 - 2001-09-14

Legal Case

show

Project information

show

Source 1

show
hide
Title: Pattern Recognition
  Subtitle : 23rd DAGM Symposium, Munich, Germany, September 12-14, 2001. Proceedings
  Abbreviation : DAGM 2001
Source Genre: Proceedings
 Creator(s):
Radig, Bernd1, Editor
Florczyk, Stefan1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Vienna, Austria : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 132 - 139 Identifier: ISBN: 978-3-540-42596-0

Source 2

show
hide
Title: Lecture Notes in Computer Science
  Abbreviation : LNCS
Source Genre: Series
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 2191 Sequence Number: - Start / End Page: - Identifier: -