Manopt.adjoint_differential_bezier_controlMethod
adjoint_differential_bezier_control(
M::MAnifold,
B::AbstractVector{<:BezierSegment},
t::Float64,
X
)

evaluate the adjoint of the differential of a composite Bézier curve on the manifold M with respect to its control points b based on a points T$=(t_i)_{i=1}^n$ that are pointwise in $t_i\in[0,1]$ on the curve and given corresponding tangential vectors $X = (\eta_i)_{i=1}^n$, $\eta_i\in T_{\beta(t_i)}\mathcal M$

See de_casteljau for more details on the curve.

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Manopt.adjoint_differential_bezier_controlMethod
adjoint_differential_bezier_control(
M::Manifold,
b::BezierSegment,
t::Array{Float64,1},
X::Array{Q,1}
)

evaluate the adjoint of the differential of a Bézier curve on the manifold M with respect to its control points b based on a points T$=(t_i)_{i=1}^n that are pointwise in$ t_i\in[0,1]$on the curve and given corresponding tangential vectors$X = (\eta_i)_{i=1}^n$,$\eta_i\in T_{\beta(t_i)}\mathcal M$See de_casteljau for more details on the curve and[BergmannGousenbourger2018]. source Manopt.adjoint_differential_bezier_controlMethod adjoint_differential_bezier_control( M::Manifold, b::BezierSegment, t::Float64, η::Q) evaluate the adjoint of the differential of a Bézier curve on the manifold M with respect to its control points b based on a point t$\in[0,1]$on the curve and a tangent vector$\eta\in T_{\beta(t)}\mathcal M$. See de_casteljau for more details on the curve. source Manopt.adjoint_differential_forward_logsMethod Y = adjoint_differential_forward_logs(M, p, X) Compute the adjoint differential of forward_logs$F$orrucirng, in the power manifold array p, the differential of the function $F_i(p) = \sum_{j ∈ \mathcal I_i} \log_{p_i} p_j$ where$i$runs over all indices of the PowerManifold manifold M and$\mathcal I_i$denotes the forward neighbors of$i$Let$n$be the number dimensions of the PowerManifold manifold (i.e. length(size(x))). Then the input tangent vector lies on the manifold$\mathcal M' = \mathcal M^n$. Input • M – a PowerManifold manifold • p – an array of points on a manifold • X – a tangent vector to from the n-fold power of p, where n is the ndims of p Ouput Y – resulting tangent vector in$T_p\mathcal M\$ representing the adjoint differentials of the logs.

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