“Fair Curve Networks in Nonlinear Geometries” by Drury

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

  • ©Johannes Wallner, Helmut Pottmann, and Michael Hofer

Conference:


Type(s):


Title:

    Fair Curve Networks in Nonlinear Geometries

Session/Category Title:   Modeling


Presenter(s)/Author(s):



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.

References:


    Hofer, M., and Pottmann, H. 2004. Energy-minimizing splines in manifolds. ACM Trans. Graphics 23, 3, 284–293.


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