I have 4 2D points in screen-space, and I need to reverse-project them back into 3D space. I know that each of the 4 points is a corner of a 3D-rotated rigid rectangle, and I know the size of the rectangle. How can I get 3D coordinates from this? I am not using any particular API, and I do not have an existing projection matrix. I'm jus...
Suppose we have a 3d Space with a plane on it with an arbitary equation : ax+by+cz+d=0 now suppose that we pick 3 random points on that plane: (x0,y0,z0) (x1,y1,z1) (x1,y1,z1) now i have a different point of view(camera) for this plane. i mean i have a different camera that will look at this plane from a different point of view. From th...
I'm using worldview_inverse * (projection_inverse * vector) to transform screen space coordinates into world space coordinates. I assumed that (x,y,1,1) would transform to a point on the far plane, while (x,y,-1,1) transforms to a point on the near plane, and connecting the line I can query all objects in the view frustum that ...
Hello, I have a 3D math problem which I just can't seem to solve. I have data of 3 points. The data is a (2D) coordinate on a plane, floating somewhere in 3D space. I also know the (2D) coordinate of the projection. That results in the following array of data: [[[x1,y1], [px1,py1], [[x2,y2], [px2,py2], [[x3,y3], [px3,py3]] Where t...
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 in this picture, how can I calculate the original proportions, i.e. the quotient ( width / height ) of the rectangle? (background: the goal ...