Questions tagged [affine-transformations]
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23 questions
0 votes
1 answer
86 views
Alignment of the plane coordinate system with the square is similarity transformation
I'm reading the book "Multiple View Geometry in Computer Vision" of Hartley and Zisserman. There was something I was unable to understand correctly. Here's the example where K denotes ...
- 3
2 votes
1 answer
280 views
$P^2$ vs projection plane
I want to explain what I understood of definition of the two things. Projection plane: The general processing steps for modeling and converting a world coordinate description of a scene to device ...
user17337
0 votes
0 answers
55 views
Does rotating object inside unit cube [-1,1] by homogenous matrix move it outside unit cube
I am just trying to rotate my pointcloud object which is inside the unit cube ([-1,1] in all x,y,z axis). What I did is use the basic rotation matrix from wiki and extend it to homogenuous 4x4 matrix (...
- 111
1 vote
2 answers
5k views
How to convert from Object space into World space (exercise from 3D Math Primer book)
This is not homework. I'm self studying Computer Graphics, using the book "3D Math Primer for Graphics and Game Development" (2nd edition). So there is the exercise 6 in chapter 3 which I can't figure ...
- 145
1 vote
2 answers
1k views
How to make a translation relative to the line ax + by + c = 0, affine transformations
(sorry for my english) The task: A triangle is specified. To realize its motion on the basis of mirror reflection with respect to an arbitrary line ax + by + c = 0, the coefficients of which are ...
- 13
5 votes
1 answer
1k views
why is translating in 3D space the same as shearing in 4D space?
I was reading "3D Math Primer for Computer Graphics and Game Development" and there was something the author had said that I thought was particularly interesting, he stated It is important to ...
- 51
4 votes
1 answer
548 views
Why does an affine transform work only on three of the corners?
I am trying to use a linear transformation to straighten out the camera angle on this image: In other words, I want to transform the image into a head-on view of the whiteboard. I applied an affine ...
- 171
1 vote
0 answers
403 views
Applying 3d transformation to cuboid
I have the 8 vertices of a cuboid (red points)(XYZvox) with known distance in millimetres (vox to mm) between each vertex which I transform in 3d space using the 4d transformation matrix (M). I am ...
- 111