Abstract:
Fair curve networks in nonlinear geometries are an extension of our work [Hofer and Pottmann 2004] on energy-minimizing spline curves in manifolds. Instead of designing with one single curve, we here present a variational approach for the design with an entire network of curves. After a geometric characterization of fair, i.e., energy-minimizing curve networks, we discuss their discretization and computation. Fair curve networks in nonlinear geometries have a variety of applications including surface parameterization, aesthetic remeshing and design of fair surfaces in the presence of obstacles.
Bibtex:
@misc{wallner-2005-fcn,
author = "J. Wallner and H. Pottmann and M. Hofer",
title = "Fair Curve Networks in Nonlinear Geometries",
url="http://www.geometrie.tugraz.at/wallner/fwsketch.pdf",
howpublished="ACM SIGGRAPH 2005 Conference Abstracts and
Applications, August 2005 (electronic).",
}
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