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#' Extracts the radius of a closed shape, relative to its barycenter.
#'
#' This method allows to extract the radius of a closed shape, contained in a image, relative to its barycenter.
#'
#' @param image A numeric matrix, representing the black and white image (a pixel of value \code{0} is from the background).
#' @param seq A numeric vector, giving the angles to subsample the closed shape.
#' @return A numeric vector containing the radius values.
#' @author Alexandre Thiery
#' @keywords internal
ImageGetClosedShapeRadius = function(image, seq)
{
ncol = ncol(image)
nrow = nrow(image)
xy = ImageGetPoints(image = image, black = 1)
bary = colMeans(xy)
xy = data.frame(x = xy$x - bary['x'], y = xy$y - bary['y'])
#xy = data.frame(t(t(xy) - (bary)))
angles = atan2(xy$y, xy$x)
angles[angles < 0] = angles[angles < 0] + 2*pi
angle.sort = sapply(seq, function(x) {
temp1 = abs(angles - x)
temp2 = abs(angles - x + 2*pi)
m1 = min(temp1)
m2 = min(temp2)
if(m1 < m2) {
return(c(m1, which(temp1 == m1)[1]))
} else {
return(c(m2, which(temp2 == m2)[1]))
}
})
radius = sqrt(rowSums(xy[angle.sort[2,],]^2))
return(as.numeric(radius))
}
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