Feature-Based Surface Parameterization and Texture Mapping

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/3240

Title: Feature-Based Surface Parameterization and Texture Mapping
Author: Zhang, Eugene ; Mischaikow, Konstantin Michael ; Turk, Greg
Abstract: Surface parameterization is necessary for many graphics tasks: texture-preserving simplification, remeshing, surface painting, and pre-computation of solid textures. The stretch caused by a given parameterization determines the sampling rate on the surface. In this paper, we propose an automatic parameterization method that segments a surface into patches that are then flattened with little stretch. We observe that many objects consist of regions of relative simple shapes, each of which has a natural parameterization. Therefore, we propose a three-stage feature based patch creation method for manifold mesh surfaces. The first two stages, genus reduction and feature identification, are performed with the help of distance-based Morse functions. In the last stage, we create one or two patches for each feature region based on a covariance matrix of the feature's surface points. To reduce the stretch during patch unfolding, we notice that the stretch is a 2x2 tensor which in ideal situations is the identity. Therefore, we propose to use the Green-Lagrange tensor to measure and to guide the optimization process. Furthermore, we allow the boundary vertices of a patch to be optimized by adding scaffold triangles. We demonstrate our feature identification and patch unfolding methods for several textured models. Finally, to evaluate the quality of a given parameterization, we propose an image-based error measure that takes into account stretch, seams, smoothness, packing efficiency and visibility.
Type: Technical Report
URI: http://hdl.handle.net/1853/3240
Date: 2003
Relation: GVU Technical Report;GIT-GVU-03-29
Publisher: Georgia Institute of Technology
Subject: Parameterization
Surface segmentation
Texture mapping

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