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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.


Copyright © (2004) by the Eurographics Association for Computer Graphics. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit. To copy otherwise, to republish, to post of servers, or to redistribute to lists, requires prior specific permission and/or a fee.

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.

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