Optimal Separable Algorithms to Compute the Reverse Euclidean Distance Transformation and Discrete Medial Axis in Arbitrary Dimension

Author

Coeurjolly, David ; Montanvert, Annick

Author_Institution

Laboratoire LIRIS, Univ. Claude Bernard, Villeurbanne

Volume

29

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

437

Lastpage

448

Abstract

In binary images, the distance transformation (DT) and the geometrical skeleton extraction are classic tools for shape analysis. In this paper, we present time optimal algorithms to solve the reverse Euclidean distance transformation and the reversible medial axis extraction problems for d-dimensional images. We also present a d-dimensional medial axis filtering process that allows us to control the quality of the reconstructed shape

Keywords

feature extraction; geometry; arbitrary dimension; binary images; discrete medial axis; geometrical skeleton extraction; reverse Euclidean distance transformation; reversible medial axis extraction; Approximation algorithms; Euclidean distance; Filtering; Fires; Image analysis; Image reconstruction; Labeling; Shape control; Skeleton; Solid modeling; Shape representation; d--dimensional shapes.; distance transformation; medial axis extraction; reverse Euclidean distance transformation; Algorithms; Artificial Intelligence; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Signal Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/TPAMI.2007.54

Filename

4069260