1. In the first part of the term we discussed low pass and high pass filtering of signals. There are at least two ways to think of images as signals. One is, scanning the pixel values across one image. Another is, fixing a location in the image, and scanning a sequence of images vs. time. For the first kind of image filtering, describe what a low pass filter would do.
2. Two kinds of noise in images are called salt noise and pepper noise respectively, corresponding to a noisy pixel that is incorrectly too light and incorrectly too dark, respectively. Suppose an image has noise, but it is exclusively salt noise. What effect will dilation have?
3. For an image with pepper noise, presuming it is desirable to reduce the pepper noise, which operations, in which sequence, would you apply? Find an image, add pepper noise, and demonstrate your results.