Name
Abstract | ||
|---|---|---|
Stripe patterns are ubiquitous in nature, describing macroscopic phenomena such as stripes on plants and animals, down to material impurities on the atomic scale. We propose a method for synthesizing stripe patterns on triangulated surfaces, where singularities are automatically inserted in order to achieve user-specified orientation and line spacing. Patterns are characterized as global minimizers of a convex-quadratic energy which is well-defined in the smooth setting. Computation amounts to finding the principal eigenvector of a symmetric positive-definite matrix with the same sparsity as the standard graph Laplacian. The resulting patterns are globally continuous, and can be applied to a variety of tasks in design and texture synthesis. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1145/2767000 | ACM Transactions on Graphics |
Keywords | Field | DocType |
discrete differential geometry,digital geometry processing,texture synthesis,direction fields,singularities | Topology,Laplacian matrix,Discrete differential geometry,Mathematical optimization,Computer science,Matrix (mathematics),Atomic units,Gravitational singularity,Texture synthesis,Eigenvalues and eigenvectors,Computation | Journal |
Volume | Issue | ISSN |
34 | 4 | 0730-0301 |
Citations | PageRank | References |
17 | 0.67 | 22 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Felix Knöppel | 1 | 73 | 4.30 |
| Keenan Crane | 2 | 586 | 29.28 |
| Ulrich Pinkall | 3 | 497 | 39.52 |
| Peter Schröder | 4 | 5825 | 467.77 |