Numerous optical techniques describe the local slope of the functions at their discrete positions but do not report the actual functions. However, many applications require the description of the functions, which must be retrieved from the gradients by an integration process. This study shows a spline model function-based integration technique that can construct original functions from irregularly measured gradient data over general shape domains with high accuracy and speed.

中文翻译：

---

通过样条模型积分对梯度数据进行反导

许多光学技术描述了函数在其离散位置的局部斜率，但没有报告实际函数。然而，许多应用程序需要函数的描述，这些函数必须通过积分过程从梯度中检索出来。这项研究展示了一种基于样条模型函数的集成技术，该技术可以从一般形状域上不规则测量的梯度数据以高精度和速度构造原始函数。