Abstract
We prove that in general the critical set for photogrammetric reconstruction using lines in P 3(ℂ) is a line congruence Г of order 3 and class 6; Г has 10 singular points and no singular planes. The general hyperplane sections of Г (ruled surfaces formed by intersecting Г with linear line complexes) have genus 5. Г can be found in Fano's classification of congruences of order 3, and further properties of Г can be found in the literature.
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Buchanan, T. On the critical set for photogrammetric reconstruction using line tokens in P 3(ℂ). Geom Dedicata 44, 223–232 (1992). https://doi.org/10.1007/BF00182950
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DOI: https://doi.org/10.1007/BF00182950