We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form surface fitting. The nonlinear equations used include two second order flows, two fourth order flows and two sixth order flows. These nonlinear equations are discretized based on discrete differential geometry operators. The proposed approach is simple, efficient and gives very desirable results, for a range of surface models, possibly having sharp creases and corners.

中文翻译：

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使用偏微分方程的离散表面建模。

我们使用各种非线性偏微分方程有效地解决了几个曲面建模问题，包括曲面混合、N 边孔填充和自由曲面拟合。所使用的非线性方程包括两个二阶流、两个四阶流和两个六阶流。这些非线性方程是基于离散微分几何算子离散化的。对于可能具有尖锐折痕和拐角的一系列表面模型，所提出的方法简单、有效并且给出了非常理想的结果。