[Solved] ECE561 Homework 1-Projection & Reconstruction

Note: Homework should be done individually but discussion is encouraged. If you must use your phone to scan your work please use a proper digital scanning app to maintain legibility. This particular assignment requires the use of a digital camera. The report shall contain images, psedo-code and output of your algorithms. Homework is out of 10pts. You may pick one of the following 10 point problems:

1. A Manual 3D Scanner
   • (1pts) Pick a salient object in your vicinity. Using a digital camera, take a stereo image of a single object. That is, take two pictures from slightly different camera positions. Ideally, the object takes up a large portion of the frame.
   • (1pts) Manually identify and label visually a few sparse corresponding points in both pictures. You will need to identify the image coordinates of these points as well.
   • (3pts) Recover the camera parameters using the essential or fundamental matrix using 8-point algorithm (You can assume one of your camera is fixed at origin with rotation matrix to be identity). Include pseudocode.
   • (5pts) Recover the sparse 3D cloud points of the object from your marked points. Show results for both:
     1. linear optimization
     2. non-linear optimization (hint: You may use Matlabs fminunc or lsqnonline )

2. Primitive Panorama Stitching
   • (1pts) Pick a wide-angle scene you would like to capture. Using a digital camera, take two images from the same position but with different angles. Ideally, there will be some overlap between the two images.
   • (3pts) Find the SIFT-key points and descriptors for both the images (hint: You may use open source code and package).
   • (3pts) Match the correspondence points. Include pseudocode. Show visually these matched pairs of points.
   • (3pts) Run RANSAC to estimate homography and stitch the two images together and include the final image in your report.

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