Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
A review of biologically motivated space-variant data reduction models for robotic vision
Computer Vision and Image Understanding
Granulometries and opening trees
Fundamenta Informaticae - Special issue on mathematical morphology
On-line detection of red blood cell shape using deformable templates
Pattern Recognition Letters
IEEE Transactions on Pattern Analysis and Machine Intelligence
High Confidence Visual Recognition of Persons by a Test of Statistical Independence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-scale Document Description Using Rectangular Granulometries
DAS '02 Proceedings of the 5th International Workshop on Document Analysis Systems V
A Binocular Stereo Algorithm for Log-Polar Foveated Systems
BMCV '02 Proceedings of the Second International Workshop on Biologically Motivated Computer Vision
The Viscous Watershed Transform
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Image filtering using morphological amoebas
Image and Vision Computing
Mathematical morphology in polar-logarithmic coordinates. application to erythrocyte shape analysis
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Robust iris segmentation on uncalibrated noisy images using mathematical morphology
Image and Vision Computing
Spatially-variant structuring elements inspired by the neurogeometry of the visual cortex
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
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We propose in this paper to perform mathematical morphology operators in a geometric transformation of an image. As a result of this procedure, processing images with regular structuring elements in the transformed domain is equivalent to working with deformed structuring elements in the original representation. More specifically, the conversion into polar-logarithmic coordinates provides satisfying results in image analysis applied to round objects, if they are roughly origin-centered. We have illustrated the interest of the derived cyclic morphology with two pattern recognition examples: erythrocyte shape analysis and multiscale description of iris textures.