As you can see, a bump map does not actually alter the shape of the obj structure, but uses simulated shadow and colour changes to give the impression of raised sections. While sometimes, this can be effective, it can also make it difficult to tell whether an area is raised above, or dropped below, the original surface. (A bump or a dimple in other words!)
If you are trying to create a sheer edge, you must be careful there are no grey pixels between the black surface and white bumps - or you will get a gradiated edge.