Real-time dynamics for geometric textures in shell

Embedding geometric textures in a shell space around an arbitrary surface has been a popular way to add highly detailed geometric details and enhance visual richness in graphics community, but the dynamic effects of geometric textures have not been modeled and simulated. In this paper, we introduce an efficient algorithm for deforming geometric textures with dynamic effects. The algorithm consists of two steps. First, it computes a deformed shell space by optimizing a material related energy function, which is then used to evaluate the equilibrium position of the geometric texture. Second, an explicit time integration scheme is applied for vibrating the geometric texture around its equilibrium position. Users can deform the geometric textures by dragging its vertices directly, and the dynamic behavior of the geometric textures can be changed by adjusting several material parameters. The dynamic simulation of geometric textures can be easily implemented on GPU and runs at real-time rates.