Lecture 12 Problems - CSCI 497P / 597P

Here are the transformations we looked into last time. In all cases, the right image's (0, 0) point is at the bottom left corner of the image (bottom corner of the image, in the case of #4.) Also in all images, points right and points up.

image-20201013095744119

image-20201013095806194

image-20201013095938958

image-20201013100012102

 

  1. Suppose that instead of the images, you were given pairs of feature matches (e.g., the coordinates of the center of the ferris wheel in each image). How many feature matches would you need to determine the transformation matrix ?

 

  1. Here's one more pair:

    image-20201014101617388

    Here, let's say the image has been translated up and to the right by 40 pixels. Can you come up with a 2x2 matrix that transforms pixel coordinates from one to the other?