title: Optimal separable algorithms to compute the reverse euclidean distance transformation and discrete medial axis in arbitrary dimension.
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.
authors.affiliation: Laboratoire LIRIS UMR-CNRS 5205, Universite Claude Bernard Lyon 1, Villeurbanne, France. david.coeurjolly@liris.cnrs.fr
authors.forename: David
authors.initials: D
authors.lastname: Coeurjolly
authors.forename: Annick
authors.initials: A
authors.lastname: Montanvert
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods; D009716:Numerical Analysis, Computer-Assisted; D010363:Pattern Recognition, Automated / Q000379:methods*; D012815:Signal Processing, Computer-Assisted