• DOI:10.1007/978-3-7091-7584-2_21
Corpus ID: 45374136

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}
}

• C. Séquin, P. Chang, Henry P. Moreton
• Published in Geometric Modelling 1993
• Mathematics, Computer Science

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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