# affine.tess

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##### Apply Geometrical Transformation To Tessellation

Apply various geometrical transformations of the plane to each tile in a tessellation.

Keywords
spatial, math
##### Usage
## S3 method for class 'tess':
reflect(X)  ## S3 method for class 'tess':
shift(X, \dots)  ## S3 method for class 'tess':
rotate(X, angle=pi/2, \dots, centre=NULL)  ## S3 method for class 'tess':
scalardilate(X, f, \dots)  ## S3 method for class 'tess':
affine(X, mat=diag(c(1,1)), vec=c(0,0), ...)
##### Arguments
X
Tessellation (object of class "tess").
angle
Rotation angle in radians (positive values represent anticlockwise rotations).
mat
Matrix representing a linear transformation.
vec
Vector of length 2 representing a translation.
f
Positive number giving scale factor.
...
Arguments passed to other methods.
centre
Centre of rotation. Either a vector of length 2, or a character string (partially matched to "centroid", "midpoint" or "bottomleft"). The default is the coordinate origin c(0,0).
##### Details

These are method for the generic functions reflect, shift, rotate, scalardilate, affine for tessellations (objects of class "tess").

The individual tiles of the tessellation, and the window containing the tessellation, are all subjected to the same geometrical transformation.

The transformations are performed by the corresponding method for windows (class "owin") or images (class "im") depending on the type of tessellation.

If the argument origin is used in shift.tess it is interpreted as applying to the window containing the tessellation. Then all tiles are shifted by the same vector.

##### Value

• Another tessellation (of class "tess") representing the result of applying the geometrical transformation.

Generic functions reflect, shift, rotate, scalardilate, affine.

Methods for windows: reflect.default, shift.owin, rotate.owin, scalardilate.owin, affine.owin.

Methods for images: reflect.im, shift.im, rotate.im, scalardilate.im, affine.im.

##### Aliases
• reflect.tess
• shift.tess
• rotate.tess
• scalardilate.tess
• affine.tess
##### Examples
live <- interactive()
if(live) {
H <- hextess(letterR, 0.2)
plot(H)
plot(reflect(H))
plot(rotate(H, pi/3))
} else H <- hextess(letterR, 0.6)

# shear transformation
shear <- matrix(c(1,0,0.6,1),2,2)
sH <- affine(H, shear)
if(live) plot(sH)
Documentation reproduced from package spatstat, version 1.41-1, License: GPL (>= 2)

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