# solutionset

0th

Percentile

##### Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True

Given a logical expression involving one or more pixel images, find all pixels where the expression is true, and assemble these pixels into a window.

Keywords
spatial
##### Usage
solutionset(expr)
##### Arguments
expr
An expression in the R language, involving one or more pixel images.
##### Details

Given a logical expression involving one or more pixel images, this function will find all pixels where the expression is true, and assemble these pixels into a spatial window.

Pixel images in spatstat are represented by objects of class "im" (see im.object). These are essentially matrices of pixel values, with extra attributes recording the pixel dimensions, etc.

Suppose X is a pixel image. Then eval.im(abs(X) > 3) will find all the pixels in X for which the pixel value is greater than 3 in absolute value, and return a window containing all these pixels.

Suppose X and Y are two pixel images with compatible dimensions: they have the same number of pixels, the same physical size of pixels, and the same bounding box. Then eval.im(X > Y) will find all pixels for which the pixel value of X is greater than the corresponding pixel value of Y, and return a window containing these pixels. In general, expr can be any logical expression involving (a) the names of pixel images, (b) scalar constants, and (c) functions which are vectorised. See the Examples.

The expression expr is evaluated by eval.im. The expression expr must be vectorised. There must be at least one pixel image in the expression. All images must have compatible dimensions.

##### Value

• A spatial window (object of class "owin", see owin.object).

solutionset(...)

##### See Also

im.object, owin.object, eval.im, levelset

• solutionset
##### Examples
# test images
X <- as.im(function(x,y) { x^2 - y^2 }, unit.square())
Y <- as.im(function(x,y) { 3 * x + y  - 1}, unit.square())

W <- solutionset(abs(X) > 0.1)
W <- solutionset(X > Y)
W <- solutionset(X + Y >= 1)

area.owin(solutionset(X < Y))
Documentation reproduced from package spatstat, version 1.9-0, License: GPL version 2 or newer

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