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Interpolating Deformation using Cubic Spline

1. Cubic spline interpolation using 4 different end conditions

natural
(a) natural
quadratic
(b) quadratic
bessel
(c) bessel
not a knot
(d) not a knot

2. Interpolating a sequence of deformations given by affine similitudes

Sequence 1 Sequence 2 Sequence 3 Sequence 4 Sequence 5
Sequence 1 Sequence 2 Sequence 3 Sequence 4 Sequence 5