Abstract: A method includes providing a three-dimensional representation of a doubly curved surface as a smooth function or triangulated mesh. The three-dimensional surface is cut into one or more panels representing each panel by a triangulated mesh. A two-dimensional approximation of the set of panels is created by representing the two-dimensional pattern as a triangulated mesh that is topologically equivalent to the three-dimensional meshes representing the panels.
Abstract: A graphic, includes a substrate and a printed pattern disposed over the substrate. The substrate is configured to attach to a mounting surface, and is transparent. The printed pattern exposes a nonprinted pattern. The printed pattern is a geometric projection of a graphic design on the mounting surface from a first viewpoint, and the nonprinted pattern is a geometric projection of a transparency design on the mounting surface from a second viewpoint.
Abstract: A method includes providing a three-dimensional representation of a doubly curved surface as a smooth function or triangulated mesh. The three-dimensional surface is cut into one or more panels representing each panel by a triangulated mesh. A two-dimensional approximation of the set of panels is created by representing the two-dimensional pattern as a triangulated mesh that is topologically equivalent to the three-dimensional meshes representing the panels.