A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Generic properties of edges and “corners” on smooth greyvalue surfaces
Biological Cybernetics
Two-plus-one-dimensional differential geometry
VIP '94 The international conference on volume image processing on Volume image processing
Generic evolutions of edges on families of diffused greyvalue surfaces
Journal of Mathematical Imaging and Vision
Evaluation of Methods for Ridge and Valley Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Relevance of Non-Generic Events in Scale Space Models
International Journal of Computer Vision
Highlight lines for conveying shape
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
ACM SIGGRAPH 2008 classes
Computation of the third-order partial derivatives from a digital elevation model
International Journal of Geographical Information Science
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Topographical curves in images are defined by certain extremalityconditions involving the gradient of the greyvalue function. Curves extractedby some edge operators and watersheds studied in geography are both examplesof such topographical curves.In the first part of this article we list the possible geometricalfeatures of certain topographical curves—such as intersection points,singular points, endpoints, curvature extrema and inflections—forgeneric images and for generic 1-parameter families of, linearly ornon-linearly, diffused images (intuitively, generic phenomena arise withprobability 1).In a second experimental part the same topographical curves are computedin discrete images and in Gaussian blurred families of images. It turns outthat the geometrical features of the smooth classification also figure inthese discrete approximations. The consequences of these results foredge-linking algorithms are briefly discussed.