Three features (lake, bay, and line segment) useful for differentiating thinned objects in...

Three features (lake, bay, and line segment) useful for differentiating thinned objects in an image are shown in the following page. Develop a morphological/logical algorithm for differentiating among these shapes. The input to your algorithm would be one of these three shapes. The output must be the identity of the input. You may assume that the features are 1 pixel thick and that each is fully connected. However, they can appear in any orientation.