The movement of a set of coordinates (an image) from one location to another.
Rule: (x+h, y+v)
h = horizontal change; v = vertical change
The flipping of an image across a line.
Reflection across X axis: (x,y) → (x, -y)
Reflection across Y axis: (x,y) → (-x, y)
Reflection across y=x: (x,y) → (y,x)
Reflection across x=y: (x,y) → (-y,-x)
The turning of an image around a center point.
Rotation 90° counter-clockwise/270° clockwise: (x,y) → (-y,x)
Rotation 180° counter-clockwise/clockwise: (x,y) → (-y,-x)
Rotation 270° counter-clockwise/90° clockwise: (x,y) → (y,-x)
Rotation 360° counter-clockwise/clockwise: seriously? (x,y) → (x,y)
This is the re-sizing of an image. Please note that this is the only transformation to result in an image not congruent with it's pre-image.
h = horizontal scale factor; v = vertical scale factor
If you are resizing an image around a center point that is not the origin, then you must temporarily act as if it was. Whenever you run through the equation, you must make the x and y values equal to their position in relation to the center point. But do NOT change their actual positions to these coordinates afterwards.
Made by Zeqe J.