Scale-Invariant Functionals for Smooth Curves and Surfaces

@inproceedings{Squin1993ScaleInvariantFF,
  title={Scale-Invariant Functionals for Smooth Curves and Surfaces},
  author={C. S{\'e}quin and P. Chang and Henry P. Moreton},
  booktitle={Geometric Modelling},
  year={1993}
}
Various functionals for optimizing the fairness of curves and surfaces are compared. Minimizing these functionals leads to the well-known Minimum Energy Curve (MEC) and Minimum Energy Surface (MES), to the more recently discussed Minimum Variation Curve and Surface (MVC and MVS), and to their scale-invariant (SI-) versions. The use of a functional that minimizes curvature variation rather than bending energy leads to shapes of superior fairness and, when compatible with any external… Expand
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References

SHOWING 1-10 OF 10 REFERENCES
Functional optimization for fair surface design
  • 424
  • PDF
Scale‐Invariant Minimum‐Cost Curves: Fair and Robust Design Implements
  • 33
  • PDF
Surface design with minimum energy networks
  • 23
  • PDF
Curve and Surface Design
  • H. Hagen
  • Mathematics, Computer Science
  • 1992
  • 86
The Curve of Least Energy
  • 259
  • PDF
8. A Survey of Parametric Scattered Data Fitting Using Triangular Interpolants
  • 90
  • PDF
Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms
  • 114
  • PDF
The Surface Evolver
  • K. Brakke
  • Computer Science, Mathematics
  • Exp. Math.
  • 1992
  • 1,825
  • PDF
Silicon Graphics Inc.
  • 402
  • PDF