Stripe Patterns on Surfaces

摘要

Stripe patterns are ubiquitous in nature, describing macroscopicrnphenomena such as stripes on plants and animals, down to materialrnimpurities on the atomic scale. We propose a methodrnfor synthesizing stripe patterns on triangulated surfaces, wherernsingularities are automatically inserted in order to achieve userspecifiedrnorientation and line spacing. Patterns are characterizedrnas global minimizers of a convex-quadratic energy which is welldefinedrnin the smooth setting. Computation amounts to findingrnthe principal eigenvector of a symmetric positive-definite matrixrnwith the same sparsity as the standard graph Laplacian. Thernresulting patterns are globally continuous, and can be applied torna variety of tasks in design and texture synthesis.