Abstract
The monotonicity of depth in a geometric constraint based absolute phase unwrapping is analyzed and a monotonic discriminant of Δ(uc,vc) 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(uc,vc) ≥ 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(uc,vc) ≤ 0. Two structured light systems with different signs of the monotonic discriminant are developed and the validity of the theoretical analysis is experimentally demonstrated.
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