Kspacesph: K-function
In adchSTATS/spatstatspacesphereadd: Additions to spatstat

Description Usage Arguments Details Value

Estimates the space-sphere K-function from a point pattern with points in R^2 x S^1, R^2 x S^2, R^3 x S^1, or R^3 x S^2 in a window of arbitry shape in space and on the entire "sphere".

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Kspacesph(X, Y, r = NULL, s = NULL, rmax = NULL, smax = NULL,
  nrval = 128, nsval = nrval, intenssX = NULL, intenssY = NULL, parmsX,
  parmsY)

`X`	Point pattern of class `ppp` or `pp3`.
`Y`	Point pattern of class `ppc` or `pps`.
`r`	Optional. Vector of values for the argument r at which K(r, s) should be evaluated.
`s`	Optional. Vector of values for the argument s at which K(r, s) should be evaluated.
`rmax`	Optional. Maximum desired value of the argument r.
`smax`	Optional. Maximum desired value of the argument s.
`nrval`	Optional. Number of values of r for which K(r, s) will be estimated.
`nsval`	Optional. Number of values of s for which K(r, s) will be estimated.
`intenssX`	Optional. Values of the estimated intensity function in 3d space. Either a `NULL`, vector, matrix, or function. If `NULL` the function will return the space-sphere K-function under the assumption of homogeneity in 3d space. If a vector it should contain the intensities at each of the observed points. If a matrix it should contain the product of the intensities of every pair of observed points. If a function it should return a vector containing the intensities at each of the observed points.
`intenssY`	Optional. Values of the estimated intensity function on the unitsphere. Either a `NULL`, vector, matrix, or function. If `NULL` the function will return the space-sphere K-function under the assumption of homogeneity on the unitsphere. If a vector it should contain the intensities at each of the observed points. If a matrix it should contain the product of the intensities of every pair of observed points. If a function it should return a vector containing the intensities at each of the observed points.
`parmsX`	List of additional arguments passed to `intenssX` if it is given as a function.
`parmsY`	List of additional arguments passed to `intenssY` if it is given as a function.

If inhomogeneous it is assumed that the intensity of the space-sphere points is the product of the intensity in space and intensity on the sphere.

A list containing r, s, theo, and K3dsph. theo is the theoretical space-sphere K-function under Stationary Poisson. theo and K3dsph are matrices with length(r) rows and length(s) columns.