Tagged Questions
3
votes
2answers
141 views
Why can any affine transformaton be constructed from a sequence of rotations, translations, and scalings?
A book on CG says:
... we can construct any affine transformation from a sequence of rotations, translations, and scalings.
But I don't know how to prove it.
Even in a particular case, I found ...
2
votes
2answers
662 views
Rigid Motions - The product of two rotations around different points is equal to a rotation around a third point or a translation
I'm having some difficulty wrapping my head around rigid motions in a plane. In particular, I'm trying to solve this following problem:
In a Euclidean plane, show that the product of two rotations ...
3
votes
2answers
562 views
Scaling at an arbitrary point and figuring out the distance from origin
Suppose I have a 8x6 rectangle, with its lower left corner at the origin (0, 0). I want to scale this rectangle by 0.5 at an anchor point (3, 3). So the resulting rectangle is 4x3, but I cannot figure ...
