Title: "Parameterization of Triangle Meshes over Quadrilateral Domains"
Authors: Ioana Boier-Martin, Holly Rushmeier, Jingy Jin
Citation: Proceedings of the Symposium on Geometry Processing, Nice, France, July 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.