期刊
ACM TRANSACTIONS ON GRAPHICS
卷 34, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2767000
关键词
discrete differential geometry; digital geometry processing; texture synthesis; direction fields; singularities
资金
- DFG Collaborative Research Center [TRR 109]
- NSF Mathematical Sciences Postdoctoral Research Fellowship [1304254]
- Intel. Meshes
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1304254] Funding Source: National Science Foundation
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 userspecified orientation and line spacing. Patterns are characterized as global minimizers of a convex-quadratic energy which is welldefined 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.
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