Problem in 3-d space important for computer vision. We have four points: $P_0$ where we know coordinates $(0,0,0)$ and $P_1, P_2, P_3$ where coordinates are unknown. However we know distances between $P_1, P_2, P_3$ (let’s name them $d_{12}, d_{23}, d_{13}$) and unit vectors $v_1, v_2, v_3$, corresponding to the vectors $\overrightarrow{{P_0}{P_1}}, \overrightarrow{{P_0}{P_2}}, \overrightarrow{{P_0}{P_3}}$. How to […]

Given list of quadrilaterals (from image processing), are there any properties/calculations that can filter out those that are not perspective projection of a target rectangle of specific aspect ratio? For example, a square cannot be the image of an A4 paper. Can we generalize this concept to filter out more quadrilaterals?

How do you calculate pitch & yaw for a camera so that it faces a certain 3D point? Variables Camera X, Y, Z Point X, Y, Z Current Half Solution Currently I know how to calculate the pitch, and I do that using the following. $dx:=camera_x-point_x$ $dy:=camera_y-point_y$ $dz:=camera_z-point_z$ $pitch:=atan2(\sqrt{dz*dz+dx*dx},dy))$ Then if $(dy>0)$ pitch gets negated. […]

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