Barycentric coordinates and transfinite interpolation

Method 2: radial minimization
MV interpolation revisited: the value g(x) is the unique minimizer
a = g(x) of the local ‘energy’ function
where
∫
E x (a) =
q x,v (r) =
and ρ(x, v) = ‖p(x, v) − x‖.
S
∫ ρ(x,v)
0
(
q
′
x,v (r) ) 2 dr dv,
ρ(x, v) − r
a +
r f (p(x, v)),
ρ(x, v) ρ(x, v)