Computer Vision, Graphics, and Image Processing
Generalized gradient vector flow external forces for active contours
Signal Processing - Special issue on deformable models and techniques for image and signal processing
Directional Morphological Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Systematic Methods for the Computation of the Directional Fields and Singular Points of Fingerprints
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Journal of Mathematical Imaging and Vision
Locally adaptable mathematical morphology using distance transformations
Pattern Recognition
Image filtering using morphological amoebas
Image and Vision Computing
Theoretical Foundations of Spatially-Variant Mathematical Morphology Part II: Gray-Level Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
IEEE Transactions on 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
A Directional Rouy-Tourin Scheme for Adaptive Matrix-Valued Morphology
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
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
Frequency domain regularization of d-dimensional structure tensor-based directional fields
Image and Vision Computing
Correlation and local feature based cloud motion estimation
Proceedings of the Twelfth International Workshop on Multimedia Data Mining
Adaptive morphology using tensor-based elliptical structuring elements
Pattern Recognition Letters
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This paper proposes an approach for mathematical morphology operators whose structuring element can locally adapt its orientation across the pixels of the image. The orientation at each pixel is extracted by means of a diffusion process of the average squared gradient field. The resulting vector field, the average squared gradient vector flow, extends the orientation information from the edges of the objects to the homogeneous areas of the image. The provided orientation field is then used to perform a spatially variant filtering with a linear structuring element. Results of erosion, dilation, opening and closing spatially-variant on binary images prove the validity of this theoretical sound and novel approach.