. . . "21340" . "[45ABB17913FB]" . "Paraleln\u00ED algoritmy pro vizualizaci tenzorov\u00E9ho pole v matematice a medic\u00EDn\u011B na z\u00E1klad\u011B anizotropn\u00ED difuze"@cs . . . "Praha" . "Parallel Algorithms for Diffusion-based Tensor Field Visualization in Mathematics and Medicine" . "Praha" . "10"^^ . . "385870" . "Parallel Algorithms for Diffusion-based Tensor Field Visualization in Mathematics and Medicine"@en . "Parallel Algorithms for Diffusion-based Tensor Field Visualization in Mathematics and Medicine"@en . . "We propose a vector/tensor field visualization technique based on solving an initial boundary value problem for the Allen-Cahn equation with diffusion anisotropy controlled by a tensor field. Focus is put on the details of the numerical solution of the given problem by means of the method of lines, presenting the results of both theoretical and experimental convergence analysis. Afterwards, the aspects of the parallel implementation of the numerical algorithm are dealt with, concentrating on the efficiency benchmarks. Finally, vector field visualization results are presented and the possibilities of applying the method in MR tractography are outlined." . "Paraleln\u00ED algoritmy pro vizualizaci tenzorov\u00E9ho pole v matematice a medic\u00EDn\u011B na z\u00E1klad\u011B anizotropn\u00ED difuze"@cs . . "Allen-Cahn equation; anisotropic diffusion; efficiency benchmarking; magnetic resonance; mathematical visualization; parallelization; tractography"@en . . "Parallel Algorithms for Diffusion-based Tensor Field Visualization in Mathematics and Medicine" . . . "RIV/68407700:21340/08:04150955" . "Vyvinuli jsme metodu pro zobrazov\u00E1n\u00ED vektorov\u00FDch a tenzorov\u00FDch pol\u00ED zalo\u017Eenou na \u0159e\u0161en\u00ED sm\u00ED\u0161en\u00E9 \u00FAlohy pro Allenovu-Cahnovu rovnici s anizotropn\u00ED difuz\u00ED, kter\u00E1 je \u0159\u00EDzena tenzorov\u00FDm polem. Tento \u010Dl\u00E1nek se soust\u0159ed\u00ED na detaily numerick\u00E9ho \u0159e\u0161en\u00ED dan\u00E9ho probl\u00E9mu metodou p\u0159\u00EDmek a uv\u00E1d\u00ED v\u00FDsledky teoretick\u00E9 i experiment\u00E1ln\u00ED konvergen\u010Dn\u00ED anal\u00FDzy. D\u00E1le se zab\u00FDv\u00E1 aspekty paraleln\u00ED implementace numerick\u00E9ho algoritmu s d\u016Frazem na testov\u00E1n\u00ED efektivity. Nakonec jsou prezentov\u00E1ny v\u00FDsledky vizualizace a jsou nast\u00EDn\u011Bny mo\u017Enosti uplatn\u011Bn\u00ED t\u00E9to metody v MR traktografii."@cs . . . . "RIV/68407700:21340/08:04150955!RIV09-MSM-21340___" . "1"^^ . "We propose a vector/tensor field visualization technique based on solving an initial boundary value problem for the Allen-Cahn equation with diffusion anisotropy controlled by a tensor field. Focus is put on the details of the numerical solution of the given problem by means of the method of lines, presenting the results of both theoretical and experimental convergence analysis. Afterwards, the aspects of the parallel implementation of the numerical algorithm are dealt with, concentrating on the efficiency benchmarks. Finally, vector field visualization results are presented and the possibilities of applying the method in MR tractography are outlined."@en . "1"^^ . . "\u010Cesk\u00E1 technika - nakladatelstv\u00ED \u010CVUT" . "978-80-01-04195-6" . . "P(LC06052)" . . . "Doktorandsk\u00E9 dny 2008" . "Strachota, Pavel" . "2008-11-07+01:00"^^ . . .