Apply Geometrical Transformation To Tessellation
Apply various geometrical transformations of the plane to each tile in a tessellation.
## S3 method for class 'tess' reflect(X) ## S3 method for class 'tess' flipxy(X) ## S3 method for class 'tess' shift(X, ...) ## S3 method for class 'tess' rotate(X, angle=pi/2, ..., centre=NULL) ## S3 method for class 'tess' scalardilate(X, f, ...) ## S3 method for class 'tess' affine(X, mat=diag(c(1,1)), vec=c(0,0), ...)
X |
Tessellation (object of class |
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 |
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.
Another tessellation (of class "tess") representing the
result of applying the geometrical transformation.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au
and Rolf Turner r.turner@auckland.ac.nz
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.
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)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.