An augmented Fast Marching Method for computing skeletons and centerlines
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Multiple Contour Finding and Perceptual Grouping using Minimal Paths
Journal of Mathematical Imaging and Vision
Image Processing by Topological Asymptotic Expansion
Journal of Mathematical Imaging and Vision
An interactive image inpainting method based on RBF networks
ISNN'06 Proceedings of the Third international conference on Advnaces in Neural Networks - Volume Part II
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We combine in this paper the topological gradient, which is a powerful method for edge detection in image processing, and a variant of the minimal path method in order to find connected contours. The topological gradient provides a more global analysis of the image than the standard gradient, and identifies the main edges of an image. Several image processing problems (e.g. inpainting and segmentation) require continuous contours. For this purpose, we consider the fast marching algorithm, in order to find minimal paths in the topological gradient image. This coupled algorithm quickly provides accurate and connected contours. We present then two numerical applications, to image inpainting and segmentation, of this hybrid algorithm.