Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
SUSAN—A New Approach to Low Level Image Processing
International Journal of Computer Vision
Minimal path algorithms for the robust detection of linear features in gray images
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
Directional Morphological Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tissue Classification Based on 3D Local Intensity Structures for Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Muliscale Vessel Enhancement Filtering
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Journal of Mathematical Imaging and Vision
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Image filtering using morphological amoebas
Image and Vision Computing
Efficient complete and incomplete path openings and closings
Image and Vision Computing
Theoretical Foundations of Spatially-Variant Mathematical Morphology Part I: Binary Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Theoretical Foundations of Spatially-Variant Mathematical Morphology Part II: Gray-Level Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Grey-Scale Morphology with Spatially-Variant Rectangles in Linear Time
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
IEEE Transactions on Image Processing
Segmentation of vessel-like patterns using mathematical morphology and curvature evaluation
IEEE Transactions on Image Processing
An attribute weighted distance transform
Pattern Recognition Letters
Morphological filtering on graphs
Computer Vision and Image Understanding
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Elongated objects are more difficult to filter than more isotropic ones because they locally comprise fewer pixels. For thin linear objects, this problem is compounded because there is only a restricted set of directions that can be used for filtering, and finding this local direction is not a simple problem. In addition, disconnections can easily appear due to noise. In this paper we tackle both issues by combining a linear filter for direction finding and a morphological one for filtering. More specifically, we use the eigen-analysis of the Hessian for detecting thin, linear objects, and a spatially-variant opening or closing for their enhancement and reconnection. We discuss the theory of spatially-variant morphological filters and present an efficient algorithm. The resulting spatially-variant morphological filter is shown to successfully enhance directions in 2D and 3D examples illustrated with a brain blood vessel segmentation problem.