How to use equations filter (editor) in Affinity Photo along with a selection of examples for use such as mirror and warp and distortions
Filter menu
Distort (to find the Equations filter editor in Affinity Photo and access the equations settings and extend modes etc for the filter)
Equations menu command in Affinity Photo
Set x = x*5
Set y=y*5
Set extend mode to wrap
Click apply for the equations filter editor
The equations filter is a new feature of Affinity Photo 1.5 +. It is a powerful tool to warp and distort and transform images in 1000s of ways. It can be used with images as well as layers
Video tutorial on the subject by graphicxtras.com (youtube)
The equations filter editor can be found in the filters menu and distort. Use it to modify images and layers in 1000s of ways
Price : $3.49 US or equivalent. 190 Panda bear strokes for use in AP as well as other apps in PNG format V180 gallery
Coordinates for tool : You can currently use Cartesian (x,y) and polar (r,t) as well as three parameters, a and b and c as well as extend modes of zero, full, repeat, wrap, mirror.
The initial factors are the a / b / c / x / y / r / t.
If you are using cartesian then use the x and y and if using the polar then use the r and t (sadly there appears to be no conversion tools to work with both coordinates though I stand to be corrected on that).
Parameters : Instead of using 5 or 0.2 etc just use 'a' or 'b' (they are the only ones given to you by AP). You should add whatever factor you need to make the a and b parameter etc work for you i.e set 5 * x * a instead of just 5 * x and then you can set the 'a' to a value
Fill image with 16 images : If you want your image to fill the screen 16 times in a grid 4 x 4 then you can do this by using the cartesian and x*4 and y*4 for the x= and y= values, so if you have a document sized 1000 x 1000 then the image is reduced into a size 250 x 250 and then this is placed into the 16 sections of the original image. To get the images all up the right way then use the wrap extended mode. If you use the mirror then you will see the images mirrored. Repeat just places it in the corner. Full reduces it to the corner but with the background color and the zero the image in the corner with transparency background.
Repeat applies of the tool : The tool can be applied again and can also be used with layers to create interesting combinations of wrap and mirror etc Say you want to do the same to create 144 copies of the image then use 12 * x and 12 * y. Of course, you don't have to use the same for both of the x and y, you can use 12 * x and 6 * y etc
Functions within the tool : Will add to this list as I find out more
noise (param) - create noise
abs (param) - absolute
sin (param) - sine function for waves etc
max (param,param) - maximum
lerp (x,y,a)
sqrt (param) - square root
etc
Examples of the tool : The examples generate a variety of different visual effects but the results will depend on the image and the layer. All the ones below are for a full image and no selection etc. You can also replace the values such as 5000 with a or b etc but you should also remember to apply a suitable factor to the a and b to allow it to actually reach 5000. Please feel free to use any of the below in your projects. All are for the wrap extend mode
Polar |
r |
t*12 |
Cart |
x*sin(x) |
y*cos(y) |
Cart |
x+150 |
y+150 |
Cart |
x+5000/x |
y+5000/y |
Polar |
r/sin(r/2) |
t |
Polar |
4*r/t |
t |
Polar |
r*Average(r,t)/20 |
t |
Polar |
r*sin(r/4) |
t |
Polar |
500*noise3(r/30,5*t) |
t |
Cart |
x-30*sin(200*noise3(x/10,y/10) |
y |
Cart |
x+y |
y |
Cart |
x+y |
y-x |
Cart |
y-x |
y-x*2 |
Cart |
3*x + 10*min(x,y/2) |
3*y + 10*min(x,y/2) |
Cart |
x*sin(y)*cos(x)-x |
y |
Cart |
x*sin(y)*cos(x)-x |
y*sin(x)*cos(y)-y |
Cart |
4*y-x*sin(y)*cos(x)-x |
4*x-y*sin(x)*cos(y)-y |
Polar |
r*sin(t*r-t)*cos(5*r)-r |
t*sin(t*r-r)*cos(t)-t |
Polar |
r-300*tan(r/3) |
t+200*tan(2*sin(t*2) |
Cart |
x+tan(x*2) |
y+tan(y*2) |
Cart |
X+x*sin(y-x/2/2) |
y |
Cart |
x*sin(sqrt(x*x+y*y)) |
y |
This will be a very useful tool but it really needs a little more features such as perhaps use of color channels and perhaps more mathematical functions as well. You can also combine the the settings in 1000s of ways to create many unique effects in AP
Keywords : How to use Equations filter Editor in Affinity Photo tutorial
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