论文标题
经过修改的Allen-CAHN模型，用于表面上的模式合成
A modified Allen-Cahn model for pattern synthesis on surfaces
论文作者
论文摘要
我们提出了在二维弯曲表面上进行模式合成的Allen-CAHN模型的扩展。 该模型基于单个PDE，它具有通过所选的反应 - 扩散系数控制生成的表面图案类型的能力，因此，以斑点，倒置点或条纹的形式获得模式。我们研究了所获得的模式的类型对新提出的反应项的依赖性。有效的操作员分裂方案用于在表面上离散模型。在不同初始条件的表面上进行的实验说明了多种模式。
We propose an extension of the Allen-Cahn model for pattern synthesis on two dimensional curved surfaces. This model is based on a single PDE and it offers improved ability of controlling the type of generated surface patterns via the chosen reaction-diffusion coefficient, thus, obtaining patterns in form of spots, inverted spots, or stripes. We investigate the dependence of the type of the obtained pattern on the new proposed reaction term. An efficient operator splitting scheme is used to discretize the model on a surface. Experiments on surfaces with varying initial conditions illustrate a variety of patterns.
