INTERACTIVE LABYRINTH CURVE GENERATION AND APPLICATIONS THEREOF

Complex labyrinth curves are interactively generated by an iterative process that spatially modulates curve evolution by an image or other function defined on the evolution space. After curves and evolution parameters are initialized [100], the iterative process resamples the curves [104], and spatially modulates the curves according to the evolution parameters [106]. The spatial modulation includes computing sample point displacements by calculating distances between each of the sample points and neighboring points using a surface distance metric that estimates a geodesic distance metric in a two-dimensional non-Euclidean evolution space. The evolved labyrinth curves are may be processed [110] for use in various applications. The evolved curves can also be triangulated and projected to a plane to create patterns for manufacturing developable surfaces.