研究開始時の研究の概要 |
The goal of this project is to bring the crystalline mean curvature flow closer to its applicability to real-world modeling, in particular by developing an efficient numerical method in three dimensions. This flow appears in models of the growth of small crystals, formation of snow crystals, and other phase transitions, as well as in methods in image processing. Since a large number of materials are crystalline (for example metals and semiconductors), the understanding and accurate modeling of crystal growth has direct benefits to development of new materials and manufacturing processes.
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