Geodesic
Local Singularities of Chord Sets
Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 286-304.

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In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in $\mathbb R^3$; we also present geometric criteria for the chord set to have a given local singularity.
Keywords: smooth curves in $\mathbb R^3$, chord set, local singularity, smooth curve, germ of a curve, diffeomorphism, projective invariance. 
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     author = {L. P. Stunzhas},
     title = {Local {Singularities} of {Chord} {Sets}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a9/}
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L. P. Stunzhas. Local Singularities of Chord Sets. Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 286-304. http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a9/

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