Segmenting Periodic Reliefs on Triangle Meshes

Decorative reliefs are widely used for e.g. packaging and porcelain design. In periodic reliefs, the relief repeats a pattern, for example all the way around an underlying surface of revolution. Reverseengineering of existing reliefs allows them to be re-applied to different base surfaces; we show here how to segment a single repeat unit of a periodic relief starting from a scanned triangle mesh. We first briefly review how we segment the relief from the background surface using our previous work. The rest of the paper then concentrates on how we extract a single repeat unit from the relief. To do so, the user provides two points on one relief boundary which are in approximate correspondence on consecutive repeats of the relief. We first refine the relative locations of these points, and then determine a third corresponding point using relief boundary information. These are used to determine three initial cutting planes across the relief. Then surface registration strategies are u...

• Type: Conference
• Year: 2007
• Where: IMAMS
• Authors: Shenglan Liu, Ralph R. Martin, Frank C. Langbein, Paul L. Rosin
• Keywords: IMAMS 2007, Mathematics, Periodic Relief, Reliefs, Repeat Unit