# integral.im

0th

Percentile

##### Integral of a Pixel Image

Computes the integral of a pixel image.

Keywords
spatial, math
##### Usage
integral.im(x, ...)
##### Arguments
x
A pixel image (object of class "im") with pixel values that can be treated as numeric or complex values.
...
Ignored.
##### Details

This function treats the pixel image x as a function of the spatial coordinates, and computes its integral. The integral is calculated by summing the pixel values and multiplying by the area of one pixel.

The pixel values of x may be numeric, integer, logical or complex. They cannot be factor or character values.

The logical values TRUE and FALSE are converted to 1 and 0 respectively, so that the integral of a logical image is the total area of the TRUE pixels, in the same units as unitname(x).

For more complicated integration tasks such as computing the integral of an image over a specified subset, use eval.im to construct an integrand or [.im to extract a subset of the image.

##### Value

• A single numeric or complex value.

eval.im, [.im

• integral.im
##### Examples
# approximate integral of f(x,y) dx dy
f <- function(x,y){3*x^2 + 2*y}
Z <- as.im(f, square(1))
integral.im(Z)

data(cells)
D <- density(cells)
integral.im(D)
# should be approximately equal to number of points = 42

# integrate over the subset [0.1,0.9] x [0.2,0.8]
W <- owin(c(0.1,0.9), c(0.2,0.8))
DW <- D[W, drop=FALSE]
integral.im(DW)
Documentation reproduced from package spatstat, version 1.18-1, License: GPL (>= 2)

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