Fair curve networks in nonlinear geometries

Johannes Wallner; Helmut Pottmann; Michael Hofer

doi:10.1145/1187112.1187149

Fair curve networks in nonlinear geometries

Johannes Wallner, Helmut Pottmann, Michael Hofer

Research output: Contribution to conference › Paper › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages	32
Number of pages	1
DOIs	https://doi.org/10.1145/1187112.1187149
State	Published - Jul 31 2005
Externally published	Yes
Event	International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005 - Los Angeles, United States Duration: Jul 31 2005 → Aug 4 2005

Other

Other	International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005
Country/Territory	United States
City	Los Angeles
Period	07/31/05 → 08/4/05

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Human-Computer Interaction

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10.1145/1187112.1187149

Cite this

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title = "Fair curve networks in nonlinear geometries",

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.",

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AU - Wallner, Johannes

AU - Pottmann, Helmut

AU - Hofer, Michael

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N2 - 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.

AB - 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.

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U2 - 10.1145/1187112.1187149

DO - 10.1145/1187112.1187149

M3 - Paper

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T2 - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005

Y2 - 31 July 2005 through 4 August 2005

ER -

Fair curve networks in nonlinear geometries

Abstract

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ASJC Scopus subject areas

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