A topological characterization of thinning
Theoretical Computer Science
An Efficient Uniform Cost Algorithm Applied to Distance Transforms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized geodesy via geodesic time
Pattern Recognition Letters
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images
Computer Vision and Image Understanding
Order independent homotopic thinning for binary and grey tone anchored skeletons
Pattern Recognition Letters
Order Independent Homotopic Thinning
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Tesselations by Connection in Orders
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Grey-level hit-or-miss transforms-Part I: Unified theory
Pattern Recognition
A hit-or-miss transform for multivariate images
Pattern Recognition Letters
Beyond self-duality in morphological image analysis
Image and Vision Computing
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Spatial and spectral morphological template matching
Image and Vision Computing
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By viewing the grey scale values of 2-dimensional (2-D) images as elevation values above the image definition domain, geomorphological terms such as crest lines, watersheds, catchment basins, valleys, and plateaus have long been used in digital image processing for referring to image features useful for image analysis tasks. Because mathematical morphology relies on a topographic representation of 2-D images allowing for grey scale images to be viewed as 3-D sets, it naturally offers a wide variety of transformations for extracting topographic features. This paper presents some advances related to the imposition of minima, the lower complete transformation, the hit-or-miss transform, and the extraction of crest lines by a skeletonisation procedure.