Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Threshold Superposition in Morphological Image Analysis Systems
IEEE Transactions on Pattern Analysis and Machine Intelligence
An overview of morphological filtering
Circuits, Systems, and Signal Processing - Special issue: median and morphological filters
Generalized geodesy via geodesic time
Pattern Recognition Letters
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Shape Preserving Filament Enhancement Filtering
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image and Vision Computing
Efficient complete and incomplete path openings and closings
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ultimate Attribute Opening Segmentation with Shape Information
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Constrained and dimensionality-independent path openings
IEEE Transactions on Image Processing
Hyperconnected Attribute Filters Based on k-Flat Zones
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geodesic attributes thinnings and thickenings
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Building the Component Tree in Quasi-Linear Time
IEEE Transactions on Image Processing
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An attribute opening is an idempotent, anti-extensive and increasing operator, which removes from an image connected components which do not fulfil a given criterion. When the increasingness property is dropped, we obtain a--more general--attribute thinning. In this paper, we propose efficient grey scale thinnings based on geodesic attributes.Given that the geodesic diameter is time consuming, we propose a new geodesic attribute, the barycentric diameter to speed up the computation time. Then, we give the theoretical error bound between these two attributes, and we note that in practice, the barycentric diameter gives very similar results in comparison with the geodesic diameter. Finally, we present the algorithm with further optimisations, to obtain a 60脳 speed up.We illustrate the use of these thinnings in automated non-destructive material inspection: the detection of cracks. We discuss the advantages of these operators over other methods such as path openings or the supremum of openings with segments.