Computer Vision, Graphics, and Image Processing
Algorithms for random fractals
The Science of Fractal Images
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
An efficient algorithm for running window pel gray level ranking 2-D images
Pattern Recognition Letters
The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
The algebraic basis of mathematical morphology
CVGIP: Image Understanding
Methods for fast morphological image transforms using bitmapped binary images
CVGIP: Graphical Models and Image Processing
A fast algorithm for local minimum and maximum filters on rectangular and octagonal kernels
Pattern Recognition Letters
An overview of morphological filtering
Circuits, Systems, and Signal Processing - Special issue: median and morphological filters
On the use of level curves in image analysis
CVGIP: Image Understanding
Recursive Implementation of Erosions and Dilations Along Discrete Lines at Arbitrary Angles
IEEE Transactions on Pattern Analysis and Machine Intelligence
Periodic lines: Definition, cascades, and application to granulometries
Pattern Recognition Letters
Improving Gil-Werman Algorithm for Running Min and Max Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast computation of morphological operations with arbitrary structuring elements
Pattern Recognition Letters
Grey scale convex hulls: definition, implementation and application
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Real-time segmentation of plants and weeds
Real-Time Imaging
Fingerprint Classification by Directional Image Partitioning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sorting by Address Calculation
Journal of the ACM (JACM)
From binary to grey scale convex hulls
Fundamenta Informaticae - Special issue on mathematical morphology
Real-time registration of paper watermarks
Real-Time Imaging
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing 2-D Min, Median, and Max Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Abnormal Masses in Mammograms: Detection Using Scale-Orientation Signatures
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Image Structure Orientation Using Mathematical Morphology
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Morphological Operators with Discrete Line Segments
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Journal of Mathematical Imaging and Vision
Morphological Erosions and Openings: Fast Algorithms Based on Anchors
Journal of Mathematical Imaging and Vision
Using Line Segments as Structuring Elements for Sampling-Invariant Measurements
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological Image Compositing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moving average algorithms for diamond, hexagon, and general polygonal shaped window operations
Pattern Recognition Letters
Low cost soccer video summaries based on visual rhythm
MIR '06 Proceedings of the 8th ACM international workshop on Multimedia information retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualization in Medicine: Theory, Algorithms, and Applications
Visualization in Medicine: Theory, Algorithms, and Applications
Efficient complete and incomplete path openings and closings
Image and Vision Computing
Attribute-space connectivity and connected filters
Image and Vision Computing
Boundary extraction of linear features using dual paths through gradient profiles
Pattern Recognition Letters
Woody vegetation increase in Alpine areas: a proposal for a classification and validation scheme
International Journal of Remote Sensing
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
An automatic system for urban road extraction from satellite and aerial images
WSEAS Transactions on Signal Processing
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
3-D Extraction of Fibres from Microtomographic Images of Fibre-Reinforced Composite Materials
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Spatially-Variant Morpho-Hessian Filter: Efficient Implementation and Application
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Directional structures detection based on morphological line-segment and orientation functions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Direction-adaptive grey-level morphology. application to 3D vascular brain imaging
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Digital Steiner sets and Matheron semi-groups
Image and Vision Computing
Combining fuzzy clustering and morphological methods for old documents recovery
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
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We show that a translation invariant implementation of min/max filters along a line segment of slope in the form of an irreducible fraction $dy/dx$ can be achieved at the cost of $2+k$ min/max comparisons per image pixel, where $k=\max(|dx|,|dy|)$. Therefore, for a given slope, the computation time is constant and independent of the length of the line segment. We then present the notion of periodic moving histogram algorithm. This allows for a similar performance to be achieved in the more general case of rank filters and rank-based morphological filters. Applications to the filtering of thin nets and computation of both granulometries and orientation fields are detailed. Finally, two extensions are developed. The first deals with the decomposition of discrete disks and arbitrarily oriented discrete rectangles, while the second concerns min/max filters along gray tone periodic line segments.