Symmetry-guided texture synthesis and manipulation

Vladimir G. Kim, Yaron Lipman, Thomas Funkhouser

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


This article presents a framework for symmetry-guided texture synthesis and processing. It is motivated by the long-standing problem of how to optimize, transfer, and control the spatial patterns in textures. The key idea is that symmetry representations that measure autocorrelations with respect to all transformations of a group are a natural way to describe spatial patterns in many real-world textures. To leverage this idea, we provide methods to transfer symmetry representations from one texture to another, process the symmetries of a texture, and optimize textures with respect to properties of their symmetry representations. These methods are automatic and robust, as they don't require explicit detection of discrete symmetries. Applications are investigated for optimizing, processing, and transferring symmetries and textures.

Original languageEnglish (US)
Article number22
JournalACM Transactions on Graphics
Issue number3
StatePublished - May 2012

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design


  • Symmetry analysis
  • Texture synthesis


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