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- W2024777329 abstract "In this work, we show that great circles, the intersection of a plane through the origin and a sphere centered at the origin, can be perfectly recovered at their rate of innovation. Specifically, we show that 4K(8K − 7) + 7 samples are sufficient to perfectly recover K great circles, given an appropriate sampling scheme. Moreover, we argue that the number of samples can be reduced to 2K(4K − 1) while maintaining accurate results. This argument is supported by our numerical results. To improve the robustness to noise of our approach, we propose a modification that uses all the available information, instead of the critical amount. The increase in accuracy is demonstrated using numerical simulations." @default.
- W2024777329 created "2016-06-24" @default.
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- W2024777329 date "2013-09-26" @default.
- W2024777329 modified "2023-09-23" @default.
- W2024777329 title "Sampling great circles at their rate of innovation" @default.
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- W2024777329 doi "https://doi.org/10.1117/12.2023863" @default.
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