| Summary: | 碩士 === 國立中興大學 === 機械工程學系所 === 105 === Based on the spatial frequency, this study proposes a new mathematical algorithm for improving the calculation efficiency, operation capability, and precision of the three dimensional (3-D) space reconstruction system.
Since the previous study did not discuss the efficiency of depth measurement, we propose a new spatial frequency algorithm which uses the feature of different spectrums for images with different spatial frequencies in the study. By analyzing the amplitude ratio between the main frequency and adjacent one, the spatial frequency can be reversely calculated. Furthermore, the one-dimensional (1-D) depth measurement can be extended to the 3-D space reconstruction.
According to ideal spatial frequencies, the perfect periodic images and corresponding spectrums can be created. By recording the amplitude ratio between the main spatial frequency and adjacent one, a list of spatial frequencies and spectrum compositions can be generated. It is used for calculating the spatial frequency by comparing the ideal spectrum with the actual one.
The practical measurements and analytical results show that the depth resolution is about 5 mm and x-y plane resolution is less than 1 cm in the measuring range of one meter. The shortest operation time of a single shot for the 3-D space reconstruction could be less than 0.5 seconds.
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