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The depth resolution achieved by a continuous wave time-of-flight (C-ToF) imaging system is determined by the coding (modulation and demodulation) functions that it uses. We present a mathematical framework for exploring and characterizing the space of C-ToF coding functions in a geometrically intuitive space. Using this framework, we design families of novel coding functions that are based on Hamiltonian cycles on hypercube graphs. The proposed Hamiltonian coding functions achieve up to an order of magnitude higher resolution as compared to the current state-of-the-art. Using simulations and a hardware prototype, we demonstrate the performance advantages of Hamiltonian coding in a wide range of imaging settings.
Mohit Gupta,Shree Nayar,Andreas Velten, andEric Breitbach
"A geometric perspective on time-of-flight camera design (Conference Presentation)", Proc. SPIE 10889, High-Speed Biomedical Imaging and Spectroscopy IV, 1088902 (4 March 2019); https://doi.org/10.1117/12.2514399
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Mohit Gupta, Shree Nayar, Andreas Velten, Eric Breitbach, "A geometric perspective on time-of-flight camera design (Conference Presentation)," Proc. SPIE 10889, High-Speed Biomedical Imaging and Spectroscopy IV, 1088902 (4 March 2019); https://doi.org/10.1117/12.2514399