I am learning about Voronoi diagrams and I have seen that the Voronoi diagram of a set of points is drawn with straight line segments and rays.
Similarly how can we draw the Voronoi diagram for the following: (a) A set of lines and points? (b) A set of disjoint line segments? (c) A set of line segments forming a convex polygon? (d) A set of circles (non intersecting and no circle contains another)?
For each of these sets of objects, how can we describe the shape of the boundary pieces that form the Voronoi diagram.
I believe that the distance between a point and another object is the smallest distance between the point and any point of the object.