cloud {lattice}R Documentation

3d Scatter Plot

Description

Draws 3d scatter plots and surfaces.

Usage

cloud(formula,
      data,
      aspect = c(1, 1),
      scales = list(distance = rep(1, 3), arrows = TRUE),
      zlab,
      zlim, 
      distance = 0.2,
      par.box,
      perspective = TRUE,
      R.mat = diag(4), 
      screen = list(z = 40, x = -60),
      zoom = .9,
      ...)
wireframe(formula, data,
          at = pretty(z, cuts),
          col.regions,
          drape = FALSE,
          shade = FALSE,
          pretty = FALSE,
          colorkey = any(drape),
          cuts = 70,
          distance = 0.2,
          par.box,
          screen = list(z = 40, x = -60),
          zoom,
          scales),
          ...)

Arguments

formula a formula of the form z ~ x * y | g1 * g2 * ..., where z is a numeric response, and x, y are numeric values. g1,g2,..., if present, are conditioning variables used for conditioning, and must be either factors or shingles. In the case of wireframe, calculations are based on the assumption the x and y values are evaluated on a rectangular grid (defined by their unique values). The grid points need not be equally spaced.
For wireframe, x, y and z may also be matrices (of the same dimension), in which case they are taken to represent a 3-D surface parametrized on a 2-D grid (e.g., a sphere). Conditioning is not possible with this feature. See details below.
Missing values are allowed, either as NA values in the z vector, or missing rows in the data frame (note however that in that case the X and Y grids will be determined only by the available values). For a grouped display (producing multiple surfaces), missing rows are not allowed, but NA's in z are.
As an extension to partially support the form used in filled.contour and image, formula can be a matrix.
data data frame in which variables are evaluated
aspect vector of length 2, giving the relative aspects of the y-size/x-size and z-size/x-size of the enclosing rectangle.
scales describes scales. Can contain lists named x, y and z. Arrows are drawn if arrows=TRUE, otherwise tick marks with labels are drawn. Both can be suppressed by draw=FALSE. Several other components that work in the usual scales argument also work here (see xyplot).
zlab z label
zlim z limits
distance numeric, between 0 and 1, controls amount of perspective. See details below
par.box graphical parameters for box, namely, col, lty and lwd. By default obtained from the parameter box.3d
perspective logical, whether to plot a perspective view. Setting this to FALSE is equivalent to setting distance=0
R.mat initial rotation matrix in homogeneous coordinates. (Untested)
screen A list determining the sequence of rotations to be applied to the data before being plotted. The initial position starts with the viewing point along the positive z-axis, and the x and y axes in the usual position. Each component of the list should be named one of x, y, z (repititions are allowed), with their values indicating the amount of rotation about that axis in degrees.
zoom factor by which to scale the picture. Useful to get the variable names into the plot
drape logical, whether the wireframe is to be draped in color
shade logical, whether the wireframe is to be illuminated from a light source. See panel.3dwire for details
at, col.regions these arguments are analogous to those in levelplot. if drape=TRUE, at gives the vector of values where the colors change, and col.regions the vector of colors to be used in that case
cuts the default number of cutpoints if drape=TRUE
pretty whether the cutpoints should be pretty
colorkey whether a color key should be drawn alongside. See levelplot for details
... other arguments, passed to the panel function

Details

These functions produce three dimensional plots in each panel. The orientation is obtained as follows: the data are scaled to fall within a bounding box that is contained in the [-0.5, 0.5] cube (even smaller for non-default values of aspect). The viewing direction is given by a sequence of rotations specified by the screen argument, starting from the positive Z-axis. The viewing point (camera) is located at a distance of 1/distance from the origin. If perspective=FALSE, distance is set to 0 (i.e., the viewing point is at an infinite distance).

cloud draws a 3-D Scatter Plot, while wireframe draws a 3-D surface (usually evaluated on a grid). Multiple surfaces can be drawn by wireframe using the groups argument (although this is of limited use because the display is messed up when the surfaces intersect). Specifying groups with cloud results in a panel.superpose-like effect (via panel.3dscatter).

wireframe can optionally render the surface as being illuminated by a light source (no shadows though). Details can be found in the help page for panel.3dwire. Note that although arguments controlling these are actually arguments for the panel function, they can be supplied to cloud and wireframe directly.

For single panel plots, wireframe can also plot parametrized 3-D surfaces (i.e., functions of the form f(u,v) = (x(u,v), y(u,v), z(u,v)), where values of (u,v) lie on a rectangle. The simplest example of this sort of surface is a sphere parametrized by latitude and longitude. This can be achieved by calling wireframe with a formula of the form z~x*y, where x, y and z are all matrices of the same dimension, representing the values of x(u,v), y(u,v) and z(u,v) evaluated on a discrete rectangular grid (the actual values of (u,v) are unimportant).

When this feature is used, the heights used to calculate drape colors or shading colors are no longer the z values, but the distances of (x,y,z) from the origin.

Note that this feature does not work with groups, subscripts, subset, etc. Conditioning variables are also not supported in this case.

The algorithm for identifying which edges of the bounding box are `behind' the points doesn't work in some extreme situations. Also, panel.cloud tries to figure out the optimal location of the arrows and axis labels automatically, but can fail on occasion (especially when the view is from ``below'' the data). This can be manually controlled by the scpos argument in panel.cloud.

These and all other high level Trellis functions have several other arguments in common. These are extensively documented only in the help page for xyplot, which should be consulted to learn more detailed usage.

Value

An object of class ``trellis''. The `update' method can be used to update components of the object and the `print' method (usually called by default) will plot it on an appropriate plotting device.

Author(s)

Deepayan Sarkar deepayan@stat.wisc.edu

See Also

xyplot, levelplot, panel.cloud, Lattice

Examples

data(volcano)  ## 87 x 61 matrix
wireframe(volcano, shade = TRUE,
          aspect = c(61/87, 0.4),
          light.source = c(10,0,10))

g <- expand.grid(x = 1:10, y = 5:15, gr = 1:2)
g$z <- log((g$x^g$g + g$y^2) * g$gr)
wireframe(z ~ x * y, data = g, groups = gr,
          scales = list(arrows = FALSE),
          drape = TRUE,
          screen = list(z = 30, x = -60))

data(iris)
cloud(Sepal.Length ~ Petal.Length * Petal.Width | Species, data = iris,
      screen = list(x = -90, y = 70), distance = .4, zoom = .6)

par.set <- list(axis.line = list(col = "transparent"), clip = list(panel = FALSE))
print(cloud(Sepal.Length ~ Petal.Length * Petal.Width, 
            data = iris, cex = .8, 
            groups = Species, 
            subpanel = panel.superpose,
            main = "Stereo",
            screen = list(z = 20, x = -70, y = 3),
            par.settings = par.set),
      split = c(1,1,2,1), more = TRUE)
print(cloud(Sepal.Length ~ Petal.Length * Petal.Width,
            data = iris, cex = .8, 
            groups = Species,
            subpanel = panel.superpose,
            main = "Stereo",
            screen = list(z = 20, x = -70, y = 0),
            par.settings = par.set),
      split = c(2,1,2,1))


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