Number theory in science and communication
Number theory in science and communication
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-dimensional imaging
An Accurate Operator Splitting Scheme for Nonlinear Diffusion Filtering
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Temporal structure tree in digital linear scale space
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
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This paper aims to introduce a class of non-linear diffusion filterings based on deep structure analysis in scale space. In linear scale space, the trajectory of extrema is called stationary curves. This curves provides deep structure analysis and hierarchical expression of signals. The motion of extrema in linear scale space is controlled by a function of the higher derivatives of the signals. We introduce a non-linear diffusion filterings based on the absolute values of second derivative of signals.