Euclidean distance degree conjecture for two-camera conic multiview varieties

Let C\textit{\textbf{C}} be an arrangement of two generic cameras, and let CC,2\mathcal C_{\textit{\textbf{C}},2} denote the corresponding conic multiview variety. Euclidean distance degree conjecture. The Euclidean distance degree of CC,2\mathcal C_{\textit{\textbf{C}},2} is 538538. This predicts a fixed algebraic complexity for Euclidean distance optimization on a generic two-camera conic multiview variety; the source gives no resolution of the conjecture.

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Primary source

Felix Rydell and Isak Sundelius, “Projections of Curves and Conic Multiview Varieties”, arXiv:2404.03063 (2024).

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