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The study uses phase triangulation methods to examine the development of image processing algorithms for measuring a three-dimensional (3D) surface profile. An algorithm is proposed for decoding images of an object in structured light based on an iterative search for the minimum deviation of the model function using measurement results and compensating for the nonlinearity of the transceiver path of the measuring complex. A distinctive feature of the proposed method is that the search for the model function is desired in the form of a second-degree polynomial, ensuring the stability of the method against nonlinear distortions caused by power-law transformations of the transceiver path. The interval search method is used to reduce algorithmic complexity qualitatively. The proposed algorithm provides a stable search for the value of the initial phase shift in object images, is resistant to noise and nonlinear distortions, and allows image processing in 3D scanning systems based on triangulation methods using structured illumination and phase triangulation. Thus, the algorithm will be useful for data processing during the operation of measuring systems with a nonlinear transceiver path and measurement time constraints. [ABSTRACT FROM AUTHOR]

The article presents the application of optical methods for measuring the parameters of three-dimensional objects. It also discusses strategies for decoding phase images in the presence of additive interference and a limited dynamic range of a photodetector. The existing methods for decoding phase images introduce nonlinear distortions and systematic error into the measurement results under such conditions. A phase triangulation method with statistical data filtering is proposed for measuring the three-dimensional profile of an object under random additive interference with a limited dynamic range of a photodetector, which avoids systematic distortions of the measurement results. The method is based on adaptive filtering and statistical analysis of the intensity distribution in the recorded phase images. The error of the method of decoding phase images was analyzed analytically using statistical data filtering and threshold filtering. The proposed method can decode data in systems for measuring three-dimensional geometry that implements the phase triangulation method. [ABSTRACT FROM AUTHOR]