A numerical method for preserving curve edges in nonlinear anisotropic smoothing.
Hu, Shaoxiang, Liao, Zhiwu, Sun, Dan, Chen, Wufan (2011)
Mathematical Problems in Engineering
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Hu, Shaoxiang, Liao, Zhiwu, Sun, Dan, Chen, Wufan (2011)
Mathematical Problems in Engineering
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Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Prasath, V.B.Surya, Singh, Arindama (2010)
Journal of Applied Mathematics
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Pavel Strachota (2009)
Kybernetika
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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...
Stašová, Olga, Mikula, Karol, Handlovičová, Angela, Peyriéras, Nadine
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This paper presents and summarize our results concerning the nonlinear tensor diffusion which enhances image structure coherence. The core of the paper comes from [3, 2, 4, 5]. First we briefly describe the diffusion model and provide its basic properties. Further we build a semi-implicit finite volume scheme for the above mentioned model with the help of a co-volume mesh. This strategy is well-known as diamond-cell method owing to the choice of co-volume as a diamondshaped polygon,...
Chocholatý, Pavol
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Reaction-diffusion equations arise as mathematical models in a series of important applications. Some difference schemes to the solution of the Fisher's equation are presented.