Momocs (version 1.1.6)

npoly: Calculate natural polynomial fits on open outlines

Description

Calculates natural polynomial coefficients, through a linear model fit (see lm), from a matrix of (x; y) coordinates or an Opn object

Usage

npoly(x, ...)
# S3 method for default
npoly(x, degree, ...)
# S3 method for Opn
npoly(x, degree, baseline1 = c(-0.5, 0), baseline2 = c(0.5,
  0), nb.pts = 120, ...)

Arguments

x

a matrix (or a list) of (x; y) coordinates or an Opn object

...

useless here

degree

polynomial degree for the fit (the Intercept is also returned)

baseline1

numeric the $(x;y)$ coordinates of the first baseline by default $(x=-0.5;y=0)$

baseline2

numeric the $(x;y)$ coordinates of the second baseline by default $(x=0.5;y=0)$

nb.pts

number of points to sample and on which to calculate polynomials

Value

when applied on a single shape, a list with components:

• coeff the coefficients (includint the intercept)
• ortho whether orthogonal or natural polynomials were fitted
• degree degree of the fit (could be retrieved through coeff though)
• baseline1 the first baseline point (so far the first point)
• baseline2 the second baseline point (so far the last point)
• r2 the r2 from the fit
• mod the raw lm model

otherwise, an OpnCoe object.

See Also

Other polynomials: opoly_i, opoly

Examples

data(olea)
o <- olea[1]
op <- opoly(o, degree=4)
op
# shape reconstruction
opi <- opoly_i(op)
lines(opi, col='red')
# R2 for degree 1 to 10
r <- numeric()
for (i in 1:10) { r[i] <- npoly(o, degree=i)$r2 }
plot(2:10, r[2:10], type='b', pch=20, col='red', main='R2 / degree')