Complex Fiber Visualization.
Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
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Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
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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...
Wu Qifeng (2024)
Kybernetika
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On June 11, 2024, OpenAI announced a collaboration with Apple to deeply integrate the ChatGPT generative language model into Apple's product lineup. With support from various generative AI models, devices like smartphones will become more intelligent. The text-to-image diffusion model, known for its stable and superior generative capabilities, has gained wide recognition in image generation and will undoubtedly play a crucial role on mobile devices. However, the large size and complex...
Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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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,...
Gilmore, Stephen, Landman, Kerry A. (2005)
Journal of Theoretical Medicine
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M. Malik-Garbi, O. Agam (2012)
Mathematical Modelling of Natural Phenomena
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We introduce a model, similar to diffusion limited aggregation (DLA), which serves as a discrete analog of the continuous dynamics of evaporation of thin liquid films. Within mean field approximation the dynamics of this model, averaged over many realizations of the growing cluster, reduces to that of the idealized evaporation model in which surface tension is neglected. However fluctuations beyond the mean field level play an important ...
Belahmidi, Abdelmounim (2006)
APPS. Applied Sciences
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Khassehkhan, Hassan, Eberl, Hermann J. (2008)
Computational & Mathematical Methods in Medicine
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