Robust field-aligned global parametrization

Ashish Myles, Nico Pietroni, Denis Zorin

Research output: Contribution to journalConference articlepeer-review

91 Citations (Scopus)


We present a robust method for computing locally bijective global parametrizations aligned with a given cross-field. The singularities of the parametrization in general agree with singularities of the field, except in a small number of cases when several additional cones need to be added in a controlled way. Parametric lines can be constrained to follow an arbitrary set of feature lines on the surface. Our method is based on constructing an initial quad patch partition using robust cross-field integral line tracing. This process is followed by an algorithm modifying the quad layout structure to ensure that consistent parametric lengths can be assigned to the edges. For most meshes, the layout modification algorithm does not add new singularities; a small number of singularities may be added to resolve an explicitly described set of layouts. We demonstrate that our algorithm succeeds on a test data set of over a hundred meshes.

Original languageEnglish
Article number135
JournalACM Transactions on Graphics
Issue number4
Publication statusPublished - 2014
Externally publishedYes
Event41st International Conference and Exhibition on Computer Graphics and Interactive Techniques, ACM SIGGRAPH 2014 - Vancouver, BC, Canada
Duration: 10 Aug 201414 Aug 2014


  • Geometric modeling
  • Parametrization


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