(i) Bit plane slicing:

Since the given image has a maximum grey level of 7, it is a 3-bit image. We convert the image to binary and separate the bit planes.

Separating the bit planes, we obtain

MSB Plane

Centre bit plane

LSB plane

(ii) Low pass filtering : We use the averaging mask given below

H(x, y) = 1/9 | 1 | 1 | 1 | |---|---|---| | 1 | 1 | 1 | | 1 | 1 | 1 |

Filtering operation is given by the convolution formula i.e.

G(x,y) = f(x,y) * h(x,y)

We begin with zero padding the original image. We then palce the mask at the top left corner as shown below:

Moving the mask all over the image given us the final low passed filtered image.