Skip to main content

Robust field-aligned global parametrization

84Citations
Citations of this article
41Readers
Mendeley users who have this article in their library.
Get full text

Abstract

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. Copyright © ACM.

Author supplied keywords

Cite

CITATION STYLE

APA

Myles, A., Pietroni, N., & Zorin, D. (2014). Robust field-aligned global parametrization. In ACM Transactions on Graphics (Vol. 33). Association for Computing Machinery. https://doi.org/10.1145/2601097.2601154

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free