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Curvature decomposition for a spherical curve
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Frenet-Serret formulas
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For a unit-speed curve on the unit sphere,
α
=
−
κ
−
1
n
−
τ
−
1
κ
−
2
κ
˙
b
,
κ
g
=
−
κ
−
1
τ
−
1
κ
˙
(87)
under the compatible signed-torsion and geodesic-curvature conventions.
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Frenet-Serret formulas
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