E: The deformation energy function
In retistruct: Retinal Reconstruction Program

View source: R/spheristruct.R

E	R Documentation

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,
  Tr,
  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
`Tr`	Triangulation in the flattened outline
`A`	Area of each triangle in the flattened outline
`R`	Radius of the sphere
`Rset`	Indices of points on the rim
`i0`	Index of fixed point on rim
`phi0`	Latitude 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 cut-off coefficient
`nu`	Power to which to raise area
`verbose`	How much information to report