A system, method and software application implement a visualization scheme for presenting information in a 3D map. A set of rules specifies the visualization scheme, particularly with respect to how the system renders background objects that are obscured by a foreground object. The objects include elements such as building surfaces, streets, pointers, icons, labels, floor plans, and the like. The rules specify details such as stroke, fill, transparency, opacity, and visibility of the elements. Some of the rules may specify relationships between an object and elements that are considered “internal” to the object, while others of the rules may specify relationships between an object and other elements considered “external” to the object.