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A robust iterative reconstruction technique for deflectometry
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AI
DOI：10.1063/10.0036173.png)
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Abstract
En 中文
We present an iterative surface-reconstruction approach based on vision rays that achieves not only higher reconstruction accuracy than the Delaunay/M & ouml;ller-Trumbore method but also a significant reduction in computation time. The peak-to-valley value of the reconstruction error is decreased from 4.190 to 0.347 nm, while the time for a single iteration drops from 16 to 0.12 s. By aligning the camera's optical axis with the z axis of the coordinate system, the need for the Delaunay/M & ouml;ller-Trumbore surface-updating process is eliminated, preventing errors in surface-normal computation during reconstruction. This alignment leads to an iterative reconstruction method based on vision rays within the optical-axis-based coordinate system that is fast, accurate, and robust. The robustness of this technique is further evaluated by studying the effects of the angle theta between the camera's optical axis and the z axis, as well as the angle phi of the initial iteration-plane normal. Experimental results show that reconstruction errors introduced by the angle theta are typically in the nanometer range; however, as theta approaches a certain critical angle, reconstruction errors can increase to the micrometer level, potentially leading to reconstruction failure. In contrast, errors introduced by the angle phi remain at the picometer level and can be considered negligible. These findings demonstrate that aligning the camera's optical axis with the z axis not only ensures the robustness of the iterative process but also achieves the highest reconstruction accuracy.
Keywords:
Deflectometry
Precision measurement
Geometrical optics
Wavefront reconstruction
Journal
IF:
2.7
Papers:
288
Citations:
600