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#' Trichromatic colour space
#'
#' Calculates coordinates and colourimetric variables that represent reflectance spectra
#' in a trichromatic chromaticity space.
#'
#' @param vismodeldata (required) quantum catch colour data. Can be either the result
#' from [vismodel()] or independently calculated data (in the form of a data frame
#' with three columns named 's', 'm', 'l', representing a trichromatic viewer).
#'
#' @return A data frame of class [`colspace`] consisting of the following columns:
#' * `s`, `m`, `l`: the quantum catch data used to calculate
#' the remaining variables.
#' * `x`, `y`: cartesian coordinates for the points in the
#' Maxwell triangle.
#' * `h.theta`: angle theta, in radians, determining the hue of the colour.
#' * `r.vec`: the r vector (saturation, distance from the center).
#'
#' @examples
#' data(flowers)
#' vis.flowers <- vismodel(flowers, visual = "apis", achromatic = "l")
#' tri.flowers <- colspace(vis.flowers, space = "tri")
#'
#' @author Thomas E. White \email{thomas.white026@@gmail.com}
#'
#' @export
#'
#' @importFrom geometry bary2cart
#'
#' @keywords internal
#'
#' @references Maxwell JC. (1970). On color vision. In: Macadam, D. L. (ed)
#' Sources of Color Science. Cambridge, MIT Press, 1872 - 1873.
#' @references Kelber A, Vorobyev M, Osorio D. (2003). Animal colour vision -
#' behavioural tests and physiological concepts. Biological Reviews, 78,
#' 81 - 118.
#' @references MacLeod DIA, Boynton RM. (1979). Chromaticity diagram showing
#' cone excitation by stimuli of equal luminance. Journal of the Optical
#' Society of America, 69, 1183-1186.
trispace <- function(vismodeldata) {
dat <- check_data_for_colspace(
vismodeldata,
c("s", "m", "l"),
force_relative = TRUE
)
# cartesian coordinates
ref <- matrix(c(
0, sqrt(2 / 3),
-1 / sqrt(2), -1 / sqrt(6),
1 / sqrt(2), -1 / sqrt(6)
), nrow = 3, ncol = 2, byrow = TRUE)
coords <- bary2cart(ref, as.matrix(dat))
x <- coords[, 1]
y <- coords[, 2]
# colorimetrics
r.vec <- sqrt(x^2 + y^2)
h.theta <- atan2(y, x)
res <- data.frame(dat, x, y, h.theta, r.vec, row.names = rownames(dat))
class(res) <- c("colspace", "data.frame")
# Descriptive attributes (largely preserved from vismodel)
attr(res, "clrsp") <- "trispace"
attr(res, "conenumb") <- 3
res <- copy_attributes(
res,
vismodeldata,
which = c(
"qcatch", "visualsystem.chromatic", "visualsystem.achromatic",
"illuminant", "background", "relative", "vonkries",
"data.visualsystem.chromatic", "data.visualsystem.achromatic",
"data.background"
)
)
maxqcatches <- attr(vismodeldata, "data.maxqcatches")
if (!is.null(maxqcatches) && ncol(maxqcatches) == 3) {
maxqcatches <- maxqcatches / rowSums(maxqcatches)
attr(res, "data.maxgamut") <- bary2cart(ref, maxqcatches)
} else {
attr(res, "data.maxgamut") <- NA
}
res
}
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