A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
A variational level set approach to multiphase motion
Journal of Computational Physics
International Journal of Computer Vision
Flux Maximizing Geometric Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Riemannian Drums, Anisotropic Curve Evolution and Segmentation
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
IEEE Transactions on Image Processing
Segmentation of thin structures in volumetric medical images
IEEE Transactions on Image Processing
Tubular Structure Segmentation Based on Minimal Path Method and Anisotropic Enhancement
International Journal of Computer Vision
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In this paper, detection of edges in oriented fields is addressed. Haralick edge detection is an accurate scheme for estimation of the edge in a Euclidean space. However, in some applications such as edge detection for vessel segmentation because of the intrinsic orientation of structures, accuracy is only demanded in a particular subspace. This is specially usefull when a curve evolution is chosen for segmentation since gradients in parallel to vessel orientation stops evolution. Haralick edge detection is generalized on a Riemannian space using the inner product of the vectors under a space metric tensor. This eliminates the spurious gradients and preserves the accuracy on the vessel border. Examples are given and the comparison is made with the state-of-the-art flux maximizing flow indicating that significant improvements in terms of leakage minimization and thiner vessel delineation is achievable using our methodology.