Subdivision Schemes for Thin Plate Splines

@article{Weimer1998SubdivisionSF,
  title={Subdivision Schemes for Thin Plate Splines},
  author={Henrik Weimer and Joe D. Warren},
  journal={Comput. Graph. Forum},
  year={1998},
  volume={17},
  pages={303-314}
}
Thinplatesplinesarea well knownentityof geometricdesign.They aredefinedastheminimizerof a variational problemwhosedifferentialoperatorsapproximatea simplenotionof bendingenergy. Therefore, thin platesplines approximatesurfaceswith minimalbendingenergyandthey arewidelyconsideredasthestandard“fair” surface model.Such surfacesaredesiredfor manymodelinganddesignapplications. Traditionally, thewaytoconstructsuchsurfacesis tosolvetheassociatedvariationalproblemusingfiniteelements or by… CONTINUE READING
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SHOWING 1-10 OF 14 REFERENCES

Scott,The mathematicaltheory of finiteelementmethods, Springer -Verlag(1994)

  • L. S. Brennerand
  • 1994
Highly Influential
6 Excerpts

Stuetzle,PiecewiseSmoothSurfaceReconstruction ,ComputerGraphics

  • H. Hoppe, T. DeRose, +4 authors J.SchweitzerandW
  • Proceedings, Annual ConferenceSeries,pp
  • 1994
Highly Influential
3 Excerpts

Riesenfeld,A TheoreticalDevelopment for the ComputerGeneration and Display of PiecewisePolynomialSurfaces

  • J. LaneandR
  • IEEE Transactionson…
  • 1980
Highly Influential
3 Excerpts

SchröderandW. Sweldens,Interpolating Subdivisionfor Mesheswith Arbitrary Topology, ComputerGraphicsProceedings, AnnualConferenceSeries, pp.189–192(1996)

  • P. D. Zorin
  • 1996

DahmenandC. Micchelli, Stationary Subdivision

  • W. A. Cavaretta
  • Memoirsof theAMS,
  • 1991

A ButterflySubdivisionSchemefor SurfaceInterpolationwith Tension Control

  • N. Dyn, D. Levin andJ.A. Gregory
  • Transactionson Graphics,9,
  • 1990
1 Excerpt

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