Harthong J, Sahli H
Appl Opt. 1992 Apr 1;31(10):1436-43. doi: 10.1364/AO.31.001436.
We present a mathematical analysis of moiré sensing in which the basic theoretical concept-and tool-is the concept of the contour function. We show that the mathematical analysis is simplified greatly by systematic recourse to this tool. The analysis that is presented permits a simultaneous treatment of two different modes of implementing the moiré technique: the direct mode (widely used and well known) and the converse mode (scarcely used). The converse mode consists of computing and designing a grating especially for one model of an object in such a way that if (and only if) the object is in conformity with theprescribed model, will the resulting moiré fringes be parallel straight lines. We give explicit formulas and algorithms for such computations.
我们对莫尔条纹传感进行了数学分析，其中基本的理论概念和工具是轮廓函数的概念。我们表明，通过系统地借助这一工具，数学分析得到了极大简化。所呈现的分析允许同时处理实现莫尔条纹技术的两种不同模式：直接模式（广泛使用且广为人知）和逆向模式（很少使用）。逆向模式包括专门为一个物体模型计算和设计一个光栅，使得当（且仅当）物体符合规定模型时，产生的莫尔条纹将是平行直线。我们给出了此类计算的明确公式和算法。
