Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Mathematical morphology for structure without translation symmetry
Signal Processing
Fast erosion and dilation by contour processing and thresholding of distance maps
Pattern Recognition Letters
Neighborhoods for distance transformations using ordered propagation
CVGIP: Image Understanding
The Euclidean distance transform in arbitrary dimensions
Pattern Recognition Letters
Morphological filtering: an overview
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Fast Euclidean distance transformation by propagation using multiple neighborhoods
Computer Vision and Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Fast and exact signed Euclidean distance transformation with linear complexity
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 06
Statistical analysis of space-varying morphological openings withflat structuring elements
IEEE Transactions on Signal Processing
Adaptive mathematical morphology for range imagery
IEEE Transactions on Image Processing
2D Euclidean distance transform algorithms: A comparative survey
ACM Computing Surveys (CSUR)
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Grey-Scale Morphology with Spatially-Variant Rectangles in Linear Time
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Spatially-Variant Anisotropic Morphological Filters Driven by Gradient Fields
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Binary morphology with spatially variant structuring elements: algorithm and architecture
IEEE Transactions on Image Processing
Overview of adaptive morphology: trends and perspectives
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Adaptivity and group invariance in mathematical morphology
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Adaptive mathematical morphology: a unified representation theory
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
General adaptive neighborhood viscous mathematical morphology
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Adaptive structuring elements based on salience information
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Adaptive morphology using tensor-based elliptical structuring elements
Pattern Recognition Letters
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We investigate how common binary mathematical morphology operators can be adapted so that the size of the structuring element can vary across the image pixels. We show that when the structuring elements are balls of a metric, locally adaptable erosion and dilation can be efficiently implemented as a variant of distance transformation algorithms. Opening and closing are obtained by a local threshold of a distance transformation, followed by the adaptable dilation.