The monotonicity of depth in a geometric constraint based absolute phase unwrapping is analyzed and a monotonic discriminant of Δ(u^c,v^c) is presented in this paper. The sign of the discriminant determines the distance selection for the virtual plane to create the artificial absolute phase map for a given structured light system. As Δ(u^c,v^c) ≥ 0 at an arbitrary point on the CCD pixel coordinates the minimum depth distance is selected for the virtual plane, and the maximum depth distance is selected as Δ(u^c,v^c) ≤ 0. Two structured light systems with different signs of the monotonic discriminant are developed and the validity of the theoretical analysis is experimentally demonstrated.

中文翻译：

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结构光系统中几何约束下绝对相位解缠的单调性分析

分析了基于几何约束的绝对相位展开中深度的单调性，并提出了Δ（u ^c，v ^c）的单调判别式。判别符号确定虚拟平面的距离选择，以创建给定结构光系统的人工绝对相位图。当CCD像素坐标上任意点的Δ（u ^c，v ^c）≥0时，为虚拟平面选择最小深度距离，并且将最大深度距离选择为Δ（u ^c，v ^c）≤0。开发了两种具有不同单调判别符号的结构光系统，并通过实验证明了理论分析的有效性。