Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Image enhancement and thresholding by optimization of fuzzy compactness
Pattern Recognition Letters
Finding local maxima in a pseudo-Euclidean distance transform
Computer Vision, Graphics, and Image Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topographic distance and watershed lines
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Graphical Models and Image Processing
Geodesic Saliency of Watershed Contours and Hierarchical Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
Fuzzy distance transform: theory, algorithms, and applications
Computer Vision and Image Understanding
Segmentation into Fuzzy Regions Using Topographic Distance
SIBGRAPI '01 Proceedings of the 14th Brazilian Symposium on Computer Graphics and Image Processing
Synthesising Objects and Scenes Using the Reverse Distance Transformation in 2D and 3D
ICIAP '95 Proceedings of the 8th International Conference on Image Analysis and Processing
A decomposition scheme for 3D fuzzy objects based on fuzzy distance information
Pattern Recognition Letters
Grey Weighted Polar Distance Transform for Outlining Circular and Approximately Circular Objects
ICIAP '07 Proceedings of the 14th International Conference on Image Analysis and Processing
The fuzzy geometry of image subsets
Pattern Recognition Letters
Morphological grayscale reconstruction in image analysis: applications and efficient algorithms
IEEE Transactions on Image Processing
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We extend the concept of the reverse distance transform for binary images to a fuzzy framework, leading to the reverse fuzzy distance transform. Furthermore, we introduce centres of maximal fuzzy balls intended for, e.g. fuzzy distance based skeletonization of a fuzzy object. Finally, we propose to use the reverse fuzzy distance transform as an alternative region growing process to the seeded watershed segmentation, in order to further emphasize the shape of fuzzy objects. We make a comparison using an application where the aim is to identify the cytoplasms in fluorescence microscopy images of cells.