Graphical user interface widgets viewable and readable from multiple viewpoints in a volumetric display

A method, comprising:

• producing and displaying a three-dimensional scene in a volumetric display;
• producing and displaying an omni-viewable widget in the display, where omni-viewable widget comprises display faces arranged in separate non-adjoining locations within the volumetric display, corresponding one-to-one with users and oriented to face corresponding users and each face having a viewing range where the viewing range of the faces cover the viewpoints of users around the volumetric display;
• and
• positioning the faces to eliminate occlusion by neighboring faces, where each face has a normal to a surface of the volumetric display and the positioning comprises:
• determining a normal to a surface of the volumetric display corresponding to each user location;
• placing the faces in a center of the volumetric display along their corresponding normals;
• determining a centroid of the faces;
• orienting the faces orthogonal to their corresponding normals along radials from the centroid to the corresponding user locations;
• and
• moving occluding faces along their corresponding normals until occlusion is eliminated.