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math.DG2017★ 1 cited
Comparing Curves in Homogeneous Spaces
Zhe Su, Eric Klassen, Martin Bauer
Of concern is the study of the space of curves in homogeneous spaces. Motivated by applications in shape analysis we identify two curves if they only differ by their parametrizatio…
math.DG2017★ 4 cited
The Square Root Velocity Framework for Curves in a Homogeneous Space
Zhe Su, Eric Klassen, Martin Bauer
In this paper we study the shape space of curves with values in a homogeneous space , where is a Lie group and is a compact Lie subgroup. We generalize the square…