Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Non-linear Diffusion for Interactive Multi-scale Watershed Segmentation
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
An Anisotrophic Diffusion Algorithm with Optimized Rotation Invariance
Mustererkennung 2000, 22. DAGM-Symposium
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Approximating non-linear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
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The Gaussian serves as Green's function for the linear diffusion equation and as a source for intuitive understanding of the linear diffusion process. In general, non-linear diffusion equations have no known closed form solutions and thereby no equally simple description. This article introduces a simple, intuitive description of these processes in terms of the Diffusion Echo. The Diffusion Echo offers intuitive visualisations for non-linear diffusion processes.In addition, the Diffusion Echo has potential for offering simple formulations for grouping problems. Furthermore, the Diffusion Echo can be considered a deep structure summary and thereby offers an alternative to multi-scale linking and flooding techniques.