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retistruct (version 0.5.9)

E: The deformation energy function

Description

The function that computes the energy (or error) of the deformation of the mesh from the flat outline to the sphere. This depends on the locations of the points given in spherical coordinates. The function is designed to take these as a vector that is received from the optim function.

Usage

E(p, Cu, C, L, B, T, A, R, Rset, i0, phi0, lambda0, Nphi, N, alpha = 1, x0,
  nu = 1, verbose = FALSE)

Arguments

p
Parameter vector of phi and lambda
Cu
The upper part of the connectivity matrix
C
The connectivity matrix
L
Length of each edge in the flattened outline
B
Connectivity matrix
T
Triangulation in the flattened outline
A
Area of each triangle in the flattened outline
R
Radius of the sphere
Rset
Indicies of points on the rim
i0
Index of fixed point on rim
phi0
Lattitude at which sphere curtailed
lambda0
Longitude of fixed points
Nphi
Number of free values of phi
N
Number of points in sphere
alpha
Area scaling coefficient
x0
Area cutoff coefficient
nu
Power to which to raise area
verbose
How much information to report

Value

  • A single value, representing the energy of this particular configuration