Title :
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
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.2007.54
