Handbook of image processing operators
Handbook of image processing operators
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
Nonlinear Filters for Image Processing
Nonlinear Filters for Image Processing
Bilateral Filtering and Anisotropic Diffusion: Towards a Unified Viewpoint
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Images as embedding maps and minimal surfaces: movies, color, and volumetric medical images
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Image filtering using morphological amoebas
Image and Vision Computing
Priority pixel queue algorithm for geodesic distance transforms
Image and Vision Computing
2D Euclidean distance transform algorithms: A comparative survey
ACM Computing Surveys (CSUR)
Differential Equations for Morphological Amoebas
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
An Efficient Morphological Active Surface Model for Volumetric Image Segmentation
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Shortest routes on varying height surfaces using gray-level distance transforms
Image and Vision Computing
Combining curvature motion and edge-preserving denoising
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Modified curvature motion for image smoothing and enhancement
IEEE Transactions on Image Processing
Adaptive smoothing respecting feature directions
IEEE Transactions on Image Processing
An axiomatic approach to image interpolation
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
Morphological bilateral filtering and spatially-variant adaptive structuring functions
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Intermediate flow field filtering in energy based optic flow computations
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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This paper is concerned with amoeba median filtering, a structure-adaptive morphological image filter. It has been introduced by Lerallut et al. in a discrete formulation. Experimental evidence shows that iterated amoeba median filtering leads to segmentation-like results that are similar to those obtained by self-snakes, an image filter based on a partial differential equation. We establish this correspondence by analysing a space-continuous formulation of iterated amoeba median filtering. We prove that in the limit of vanishing radius of the structuring elements, iterated amoeba median filtering indeed approximates the partial differential equation of self-snakes. This result holds true under very general assumptions on the metric used to construct the amoebas. We present experiments with discrete iterated amoeba median filtering that confirm qualitative and quantitative predictions of our analysis.