*Abstract.* Demonstrate how to colourize an (x,y) curve according to z.

**1. Introduction.**

In Oceanography it can be useful to use colour to display z values along an (x,y) trajectory. For example, CTD data might be displayed in this way, with x being distance along track, y being depth, and z being temperature. This post shows how one might do this generally with fake data.

**2. Methods.**

The R code given below demonstrates this with fake data. The core idea is to use `segments()`

, here with `head()`

and `tail()`

to chop up the trajectory.

library(oce)
x <- 1:50
y <- x * 2/10 + x^2/10
z <- seq(0, 5, length.out = length(x))
zlim <- range(z)
npalette <- 10
palette <- oceColorsJet(npalette)
drawPalette(zlim = zlim, col = palette)
plot(x, y, type = "l")
segments(head(x, -1), head(y, -1),
tail(x, -1), tail(y, -1),
col = palette[findInterval(z,
seq(zlim[1], zlim[2], length.out = npalette))],
lwd = 10)
points(x, y, pch = 20)

**3. Results.**

The graph shows that this works reasonably well. The dots will probably not be useful in an actual application, and are used here just to indicate colourization in groups.

Demonstration of colourizing an (x,y) trajectory according to the value of a third variable, z.

**4. Conclusions.**
The method works well, and is flexible in terms of colour schemes.

*Appendix 1: exercises* find a way to blend colour between the points, perhaps by defining a euclidian distance in (x,y) space (which will of course require scaling if x and y have different units or ranges) and then using `approx()`

.

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