An interface system generates interfaces for visualizing human-machine interactions including piping systems. The interface system receives, as input, parameters describing a first pipe data object and a second pipe data object. The pipe data objects can be diagrams representing physical piping in an industrial system. Using the parameters of the first and second pipe data objects, the system determines whether images of the pipes in the interface will overlap. When the system renders vector graphic images of the first pipe data object and the second pipe data object, the second pipe data object is rendered with markings that provide a visual indication that the two pipes overlap and are not connected. The interface system further enables a user to edit the piping diagram to combine the first and second pipe data objects into a single combined pipe data object and updates the rendered images for display.