Hi

If Xsplines give you the shape you want, then you can retrieve points on the boundary of the shape using xsplinePoints(). For example ...

shapepoints <- structure(list(x = c(8.9, 0, -7.7, 0, 8.9),
                              y = c(0, 2, 0, -3.8, 0)),
                         .Names = c("x", "y"),
                         row.names = c(NA, -5L),
                         class = "data.frame")

library(grid)
grid.newpage()
pushViewport(dataViewport(shapepoints[,1], shapepoints[,2]))
grid.points(shapepoints[,1], shapepoints[,2], default.units="native")
grid.xspline(shapepoints[-1,1], shapepoints[-1,2],
             default.units="native", shape=-1, open=FALSE)

xsg <- xsplineGrob(shapepoints[-1,1], shapepoints[-1,2],
                   default.units="native", shape=-1, open=FALSE)
# THIS is the information I think you want
trace <- xsplinePoints(xsg)
grid.points(trace$x, trace$y, default.units="native",
            size=unit(1, "mm"), pch=16)

Paul

On 22/03/16 03:04, Alexander Shenkin wrote:
Thanks for your reply, Charles.  spline() doesn't seem to fit a closed
shape; rather, it's producing a parabola.  Perhaps I'm missing an
argument I should include?

grid.xspline() seems to get close to what I need, but it returns a grob
object - not sure how to work with those as shapes per se.

My goal is to produce a 2D shape from which I can calculate area,
average widths, and other such things.  The context is that we have
measured tree crowns in a manner that has produced 4 points such as
these from two offset axes.  We want to use the resulting shapes for our
calculations.

(incidentally, my original points were off - here are the correct ones)

shapepoints = structure(list(x = c(8.9, 0, -7.7, 0, 8.9), y = c(0, 2, 0,
-3.8,
0)), .Names = c("x", "y"), row.names = c(NA, -5L), class = "data.frame")

plot(spline(shapepoints))

Thanks,
Allie

On 3/21/2016 1:10 PM, Charles Determan wrote:
Hi Allie,

What is you goal here?  Do you just want to plot a curve to the data?
Do you want a function to approximate the data?

You may find the functions spline() and splinefun() useful.

Quick point though, with so few points you are only going to get a very
rough approximation no matter the method used.

Regards,
Charles


On Mon, Mar 21, 2016 at 7:59 AM, Alexander Shenkin <ashen...@ufl.edu
<mailto:ashen...@ufl.edu>> wrote:

    Hello all,

    I have sets of 4 x/y points through which I would like to fit
    closed, smoothed shapes that go through those 4 points exactly.
    smooth.spline doesn't like my data, since there are only 3 unique x
    points, and even then, i'm not sure smooth.spline likes making
    closed shapes.

    Might anyone else have suggestions for fitting algorithms I could
    employ?

    Thanks,
    Allie


    shapepoints = structure(c(8.9, 0, -7.7, 0, 0, 2, 0, 3.8), .Dim =
c(4L,
    2L), .Dimnames = list(NULL, c("x", "y")))

    smooth.spline(shapepoints)

    # repeat the first point to close the shape
    shapepoints = rbind(shapepoints, shapepoints[1,])

    smooth.spline(shapepoints)

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