A programming-device user interface may include multiple levels of abstraction for programming treatment settings. A stimulation zone-programming interface may be at a highest level of abstraction and may include idealized stimulation zones. A field strength-programming interface may be at a middle level of abstraction and may include electromagnetic field-strength patterns generated by the stimulation zones, and/or electrode settings, and a depiction of how the electromagnetic fields interact with each other. An electrode-programming interface may be at a lowest level of abstraction and may depict treatment settings at an electrodes-view level. These interfaces may include a display of a stimulatable area of the patient's body. The display may include a depiction of leads and/or the underlying physiology, such as a depiction of a portion of a spine. Algorithms map treatment settings from one level of abstraction to settings at one or more other levels of abstraction.