Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Morphological signal processing and the slope transform
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Generalized geodesy via geodesic time
Pattern Recognition Letters
Pseudo-Linear Scale-Space Theory
International Journal of Computer Vision
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Robust Local Max-Min Filters by Normalized Power-Weighted Filtering
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 1 - Volume 01
An Explanation for the Logarithmic Connection between Linear and Morphological System Theory
International Journal of Computer Vision
Fast median and bilateral filtering
ACM SIGGRAPH 2006 Papers
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
PDE-Driven Adaptive Morphology for Matrix Fields
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Families of generalised morphological scale spaces
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
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
Morphological Amoebas Are Self-snakes
Journal of Mathematical Imaging and Vision
Slope transforms: theory and application to nonlinear signalprocessing
IEEE Transactions on Signal Processing
IEEE Transactions on Image Processing
Adaptive structuring elements based on salience information
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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Development of spatially-variant filtering is well established in the theory and practice of Gaussian filtering. The aim of the paper is to study how to generalize these linear approaches in order to introduce adaptive nonlinear filters which asymptotically correspond to spatiallyvariant morphological dilation and erosion. In particular, starting from the bilateral filtering framework and using the notion counter-harmonic mean, our goal is to propose a new low complexity approach to define spatially-variant bilateral structuring functions. Then, the adaptive structuring elements are obtained by thresholding the bilateral structuring functions. The methodological results of the paper are illustrated with various comparative examples.