Lecture 11 Problems - CSCI 497P / 597P

For each transformation pictured below, find a 2x2 transformation matrix that maps the original (left) image's coordinates to the corresponding point in the right image. 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.

 

  1. Scale uniformly by a factor of 1.3:

    image-20201013095744119

     

  2. Scale by a factor of 2 in only the direction:

    image-20201013095806194

     

  3. Skew or shear the image so the top row of pixels is shifted over by 1/4 of the image's width height.

    image-20201013095938958

     

  4. Rotate the image counter-clockwise by 30 degrees:

    image-20201013100012102