Projective geometry is an incidence geometry of colinearity preserving transformations. Its use is widespread in computer graphics, computer vision, image registration, photography, among others. Homogeneous coordinates are commonly used to represent objects (point, lines, planes etc.) in real projective geometry. These are well-known to represent translation, rotation and perspective transformation simply as matrix-vector multiplication.
Questions tagged [projective-geometry]
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Essential Matrix from 8 points algorithm
In „Multiple View Geometry in Computer Vision” R.Hartley,A.Zisserman in chapter 11 - about computation Fundamental Matrix one can read:
„11.7.3 The calibrated case
In the case of calibrated cameras normalized image coordinates may be used, and the…
Artik
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How to compute fundamental matrix using a stereo pair?
referring to the question about fundamental matrix,If I had a stereo pair (2 jpeg) and I want to apply Peter Kovesi's or Zisserman's function on order to obtain F, how can I retrieve P1 and P2 ? these two matrices are 3x4 matrices from the two…
user2614596
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How can I find rotation angles (pitch, yaw, roll) from perspective transofmation coefficients
I have two 2d quads (each represented using 4 xy pairs), one of them is a perspective transformation of the other. How can I use these quads to deduce the rotations (pitch, yaw, roll) that caused the perspective distortion?
Notice that I used the…
has981
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Can you recommend a source of reference data for Fundamental matrix calculation
Specifically I'd ideally want images with point correspondences and a 'Gold Standard' calculated value of F and left and right epipoles. I could work with an Essential matrix and intrinsic and extrinsic camera properties too.
I know that I can…
Dave Durbin
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How to get the pixel size of the full map?
I have partial map of the world (like America or Africa). and I need to know to pixel size of the world map based on the size of the partial/cropped map pixel size.
I have the size in pixel of the partial map (like 480x256), and I have the…
xeonarno
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Align camera's viewing direction to view in a particular direction
I am working with a point cloud and multiple images.
I know the camera's intrinsic and extrinsic parameters. What I want is to find the
rotation matrix which will rotate my camera(without changing the position) to view in
a certain direction. More…
Harshit Agrawal
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projective geometry: how do I turn a projection of a rectangle in 3D into a 2D view
So the problem is that I have a 3D projection of a rectangle that I want to turn into 2D. That is I have a photo of a sheet of paper laying on a table which I want to transform into a 2D view of that sheet. So what I need is to get an undistorted 2D…
Trident D'Gao
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Image plane and perspective transformation / camera stabilization
Lately I have been looking into the geometry of image processing. What I am trying to accomplish is this :
Imagine there is two pictures of a scene. I want to convert second picture to the first picture. I want to revert perspectivity of the second…
Ozum Safa
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Intersection of a line with the infinity plane
I would like to compute the intersection of a 3D line with the plane at infinity. I suspect it would be the same as taking the 3D direction of the line and setting the 4th vector coordinate to 0.
However, this is not enough. I would like to know the…
Violin Yanev
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2D Projectile tracing path clarification
Projectile tracing path Problem in 2D game:
Assumption:
We make the simplifying assumption that gravity is constant and that there is no wind or drag. The motion of the projectile is given by the following equations:
x = x0 + v0t cos(theta)
y = y0 +…
Gallaxhar
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