Applications of nonlinear diffusion in image processing and computer vision.
Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Fractional regularization term for variational image registration.”
Applications of nonlinear diffusion in image processing and computer vision.
Some applications of parabolic differential equations of Allen-Cahn type in image processing
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Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
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Segmentation of MRI data by means of nonlinear diffusion
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The article focuses on the application of the segmentation algorithm based on the numerical solution of the Allen-Cahn non-linear diffusion partial differential equation. This equation is related to the motion of curves by mean curvature. It exhibits several suitable mathematical properties including stable solution profile. This allows the user to follow accurately the position of the segmentation curve by bringing it quickly to the vicinity of the segmented object and by approaching...
Enclosed Laplacian Operator of Nonlinear Anisotropic Diffusion to preserve singularities and delete isolated points in image smoothing.
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Magnetic Resonance Diffusion Tensor Imaging (MR–DTI) is a noninvasive in vivo method capable of examining the structure of human brain, providing information about the position and orientation of the neural tracts. After a short introduction to the principles of MR–DTI, this paper describes the steps of the proposed neural tract visualization technique based on the DTI data. The cornerstone of the algorithm is a texture diffusion procedure modeled mathematically by the problem for the...