# Math.linim

From spatstat v1.41-1
by Adrian Baddeley

##### S3 Group Generic Methods for Images on a Linear Network

These are group generic methods for images of class `"linim"`

, which
allows for usual mathematical functions and operators to be applied
directly to pixel images on a linear network.
See Details for a list of implemented functions.

##### Usage

```
## S3 methods for group generics have prototypes:
```Math(x, ...)
Ops(e1, e2)
Complex(z)
Summary(..., na.rm = FALSE)

##### Arguments

- x, z, e1, e2
- objects of class
`"linim"`

. - ...
- further arguments passed to methods.
- na.rm
- logical: should missing values be removed?

##### Details

An object of class `"linim"`

represents a pixel image on
a linear network. See `linim`

.
Below is a list of mathematical functions and operators which are
defined for these images. Not all functions will make sense for all
types of images. For example, none of the functions in the `"Math"`

group
make sense for character-valued images. Note that the `"Ops"`

group methods are implemented using `eval.linim`

.

- Group
`"Math"`

:`abs`

,`sign`

,`sqrt`

,`floor`

,`ceiling`

,`trunc`

,`round`

,`signif`

`exp`

,`log`

,`expm1`

,`log1p`

,`cos`

,`sin`

,`tan`

,`cospi`

,`sinpi`

,`tanpi`

,`acos`

,`asin`

,`atan`

`cosh`

,`sinh`

,`tanh`

,`acosh`

,`asinh`

,`atanh`

`lgamma`

,`gamma`

,`digamma`

,`trigamma`

`cumsum`

,`cumprod`

,`cummax`

,`cummin`

- Group
`"Ops"`

:`"+"`

,`"-"`

,`"*"`

,`"/"`

,`"^"`

,`"%%"`

,`"%/%"`

`"&"`

,`"|"`

,`"!"`

`"=="`

,`"!="`

,`"<"< code="">,`

`"<="< code="">,`

`">="`

,`">"`

- Group
`"Summary"`

:`all`

,`any`

`sum`

,`prod`

`min`

,`max`

`range`

- Group
`"Complex"`

:`Arg`

,`Conj`

,`Im`

,`Mod`

,`Re`

##### See Also

`eval.linim`

for evaluating expressions involving images.

##### Examples

```
fx <- function(x,y,seg,tp) { (x - y)^2 }
fL <- linfun(fx, simplenet)
Z <- as.linim(fL)
A <- Z+2
A <- -Z
A <- sqrt(Z)
A <- !(Z > 0.1)
```

*Documentation reproduced from package spatstat, version 1.41-1, License: GPL (>= 2)*

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