I know that one can compute the homography matrix by using at least four correpondence points. I was wondering if and how can I obtain a homography matrix if I already know the rotation and transl...

Given a 2d picture of a rectangle distorted by perspective: I know that the shape was originally a rectangle, but I do not know its original size. If I know the pixel coordinates of the corners...

How is the reprojection error calculated in Matlab's triangulate function? Sadly, the documentation gives no mathematical formula. It only says: The vector contains the average reprojection erro...

I want to compute a normal map N(i,j) from a depth map D(i,j), where (i,j) describes 2D pixel location. A basic case of this problem is discussed here: Calculate surface normals from depth image us...

I'm trying to build a tracker (hand tracking personal project), and for this reason I need to back-project a 2d point to a 3d line, using Plucker coordinates. (like ray tracing) As an input, I hav...

With the algorithm below, when the projection plane is tangent to the equator (the center line of the equirectangular image), projected image looks rectilinear. But when the projection plane is ...

I want to convert an image using control points according to this scheme extracted from here: A and B contains the coordinates of the source an target vertices. I am computing the transformatio...

Suppose I have the coordinates X, Y, Z and orientation Rx, Ry, Rz of an object with respect to a camera. In addition, I have the coordinates U, V, W and orientation Ru, Rv, Rw of this camera in the...

I have two images that are taken from different positions. The 2nd camera is located to the right, up and backward with respect to 1st camera. So I think there is a perspective transformation bet...

Given two consecutive 3D point clouds 1 and 2 (not the whole cloud, say 100 points selected from the cloud with OpenCV's GoodFeaturesToMatch), obtained from a Kinect depthmap, I want to compute cam...

A one to one point matching has already been established between the blue dots on the two images. The image2 is the distorted version of the image1. The distortion model seems to be eyefish lens ...

I have a rotation-translation matrix [R T] (3x4). Is there a function in opencv that performs the rotation-translation described by [R T]?

In the figure below the goal is to compute the homography matrix H which transforms the points a1 a2 a3 a4 to their counterparts b1 b2 b3 b4. That is: [b1 b2 b3 b4] = H * [a1 a2 a3 a4] What way...

The issue we are trying to solve the issue of locating a point in two different representations of a plane. The first plane we have is rotated to create perspective; the second is a 2d view of that...

We have a grid with red squares on it. Meaning we have an array of 3 squares (with angles == 90 deg) which as we know have same size, lying on the same plane and with same rotation relative to the ...

I want to project my Polygon along a vector to a plane in 3d Space. I would preferably use a single transformation matrix to do this, but I don't know how to build a matrix of this kind. Given t...

Hey math geeks, I've got a problem that's been stumping me for a while now. It's for a personal project. I've got three dots: red, green, and blue. They're positioned on a cardboard slip such that...