Parameterization of triangle meshes over quadrilateral domains

  • Authors:
  • Ioana Boier-Martin;Holly Rushmeier;Jingyi Jin

  • Affiliations:
  • IBM T.J. Watson Research Center;IBM T.J. Watson Research Center;Univ. of Illinois at Urbana-Champaign

  • Venue:
  • Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
  • Year:
  • 2004

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Abstract

We present a method for parameterizing irregularly triangulated input models over polyhedral domains with quadrilateral faces. A combination of center-based clustering techniques is used to generate a partition of the model into regions suitable for remeshing. Several issues are addressed: the size and shape of the regions, their positioning with respect to features of the input geometry, and the amount of distortion introduced by approximating each region with a coarse polygon. Region boundaries are used to define a coarse polygonal mesh which is quadrangulated to obtain a parameterization domain. Constraints can be optionally imposed to enforce a strict correspondence between input and output features. We use the parameterization for multiresolution Catmull-Clark remeshing and we illustrate two applications that take advantage of the resulting representation: interactive model editing and texture mapping.