Note on curve and surface energies

Authors:
Johannes Wallner
Affiliations:
Institute of Geometry, TU Graz, Kopernikusgasse 24, A 8010 Graz, Austria
Venue:
Computer Aided Geometric Design
Year:
2007

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Abstract

Energies of curves and surfaces play a prominent role as fairness functionals in geometric modeling and computer-aided geometric design. In this paper we present a particular discrete surface energy which is expressible in terms of curve energies, and thus particularly appropriate for digital elevation data smoothing with tolerance zone constraints. We also discuss other geometrically meaningful surface energies in the context of invariant theory.