May
10
Shear transformations
Filed Under Learning
There are two kinds of shears.
1. Horisontal shear.
All points are moved horisontally, i.e. the y-value does not change. How much a point is moved horisontally is proportional to its distance from the x-axis.
In short: (x, y) -> (x + ky, y).
k is called the shear factor. The x-axis is called the invariant line.
2. Vertical shear
All points are moved vertically, i.e. the x-value do not change. How much a point is moved vertically is proportional to its distance from the y-axis.
In short: (x, y) -> (x, y + kx).
k is called the shear factor. The y-axis is called the invariant line.
Question:
What kind of shear maps triangle X to triangle S? What is the invariant line? What is the shear factor?
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