rotations (version 0.1)

sum_dist: Sample distance

Description

Compute the sum of the $p^{th}$ order distances between Rs and S.

Usage

sum_dist(x, S = genR(0, space = class(x)),
    method = "projected", p = 1)
  ## S3 method for class 'SO3':
sum_dist(x, S = id.SO3,
    method = "projected", p = 1)
  ## S3 method for class 'Q4':
sum_dist(x, S = id.Q4,
    method = "projected", p = 1)

Arguments

x

$n\times p$ matrix where each row corresponds to a random rotation in matrix (p=9) or quaternion (p=4) form.

S

the individual matrix of interest, usually an estimate of the mean.

method

type of distance used method in "projected" or "intrinsic"

p

the order of the distances to compute.

Value

• The sum of the pth order distance between each sample in Rs and S.

See Also

dist.SO3, dist.Q4

Examples

Rs<-ruars(20,rvmises,kappa=10)
Sp<-mean(Rs)
sum_dist(Rs,S=Sp,p=2)