Designing Structurally-Sound Ornamental Curve Networks

摘要

We present a computational tool for designing ornamentalrncurve networks—structurally-sound physical surfaces with usercontrolledrnaesthetics. In contrast to approaches that leverage texturernsynthesis for creating decorative surface patterns, our methodrnrelies on user-defined spline curves as central design primitives.rnMore specifically, we build on the physically-inspired metaphor ofrnan embedded elastic curve that can move on a smooth surface, deform,rnand connect with other curves. We formalize this idea asrna globally coupled energy-minimization problem, discretized withrnpiece-wise linear curves that are optimized in the parametric spacernof a smooth surface. Building on this technical core, we proposerna set of interactive design and editing tools that we demonstraternon manually-created layouts and semi-automated deformable packings.rnIn order to prevent excessive compliance, we furthermorernpropose a structural analysis tool that uses eigenanalysis to identifyrnpotentially large deformations between geodesically-close curvesrnand guide the user in strengthening the corresponding regions. Wernused our approach to create a variety of designs in simulation, validatedrnwith a set of 3D-printed physical prototypes.