..on stereometry

We try to reconstruct the image of a 3D object using images taken at different positions. Using a technique called stereometry, we will derive the depth z of the 3D object using 2D images (x,y). Consider the diagram below.





















Given that the 2 images have the same y coordinates, we could solve for z using:






where b is just the traverse distance between the 2 images and f is just the focal length of the camera. We could solve for f using the calibration technique discussed on the previous activity.

Below are the two different images of a rubik's cube taken with b=5cm.











































Using 25 different points (x,y), we calculated for the corresponding depth (z). Below are the 3D reconstruction using splin2d of scilab for not a knot, bilinear interpolation, natural, and monotone.
















Enlarging further, we see that the reconstructed 3D object depicts a cube. Though the resulting rendition is not a perfect cube, we were able to show the general shape of the 3D object.

















I want to give myself a 10.