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#' Apply a normalisation transformation to vectors of data onto ellipsoids
#'
#' Takes a vector `x` and transforms the points onto the same geometry of
#' a normalised ellipse given by the inverse of the covariance matrix
#' `SigSqrt` and the location `mu`.
#'
#' @param x the vector of data points to be transformed
#' @param SigSqrt the inverse of the covariance matrix
#' @param mu the vector of means of the ellipse
#'
#' @return A vector of transformed data points
#'
#' @export
ellipsoidTransform = function(x, SigSqrt, mu) {
# input error checking is handled upstream in pointsToEllipsoid()
return(solve(SigSqrt,x-mu))
}
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