Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
On active contour models and balloons
CVGIP: Image Understanding
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
A fast level set method for propagating interfaces
Journal of Computational Physics
Handbook of image processing operators
Handbook of image processing operators
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
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
Journal of Mathematical Imaging and 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)
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Adaptive mathematical morphology for edge linking
Information Sciences—Informatics and Computer Science: An International Journal
Image filtering using morphological amoebas
Image and Vision Computing
Priority pixel queue algorithm for geodesic distance transforms
Image and Vision Computing
Anisotropic Continuous-Scale Morphology
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
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
Morphological Amoebas Are Self-snakes
Journal of Mathematical Imaging and Vision
Modified curvature motion for image smoothing and enhancement
IEEE Transactions on Image Processing
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We introduce an algorithm for active contour segmentation in which the level set function encoding the contour is processed by median filtering using morphological amoebas. These are adaptive structure elements introduced by Lerallut et al. which can be combined with different morphological operations. Recently it has been proven that iterated amoeba median filtering of an image approximates the well-known self-snakes partial differential equation. Following this approach we prove a partial approximation property of amoeba active contours with respect to geodesic active contours. Experiments prove the viability of the algorithm and confirm the theoretical results.