Numerical computation of diffusion on a surface

Schwartz P; Adalsteinsson D; Colella P; Arkin AP; Onsum M

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Numerical computation of diffusion on a surface

机译：表面扩散的数值计算

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We present a numerical method for computing diffusive transport on a surface derived from image data. Our underlying discretization method uses a Cartesian grid embedded boundary method for computing the volume transport in a region consisting of all points a small distance from the surface. We obtain a representation of this region from image data by using a front propagation computation based on level set methods for solving the Hamilton-Jacobi and eikonal equations. We demonstrate that the method is second-order accurate in space and time and is capable of computing solutions on complex surface geometries obtained from image data of cells.

机译：我们提出了一种数值方法，用于计算从图像数据得出的表面上的扩散传输。我们的基本离散化方法使用笛卡尔网格嵌入式边界方法来计算区域内的体积传输，该区域包含距离表面一小段距离的所有点。我们通过使用基于水平集方法的前传播计算来求解汉密尔顿-雅各比方程和eikonal方程，从图像数据中获得该区域的表示。我们证明该方法在空间和时间上都是二阶精确的，并且能够计算从细胞图像数据获得的复杂表面几何形状上的解决方案。

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《Proceedings of the National Academy of Sciences of the United States of America》 |2005年第32期|p. 11151-11156|共6页
作者
Schwartz P; Adalsteinsson D; Colella P; Arkin AP; Onsum M;
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作者单位

Univ Calif Berkeley, Lawrence Berkeley Lab, Appl Numer Algorithms Grp, Berkeley, CA 94720 USA;

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收录信息美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
EMBEDDED BOUNDARY METHOD; LEVEL SET METHOD; PROPAGATING INTERFACES; HEAT-EQUATION; FRONTS;

机译：嵌入边界法;水平集法;传播界面;热方程;前沿;

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6. Numerical computation of diffusion on a surface [O] . Peter Schwartz, David Adalsteinsson, Phillip Colella, 2005

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机译：表面扩散的数值计算

Numerical computation of diffusion on a surface

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