Existence of set-interpolating and energy-minimizing curves

  • Authors:

  • Johannes Wallner

  • Affiliations:

  • Institut f. Diskrete Mathematik und Geometrie, TU Wien, Wiedner Hauptstr. 8-10/104, A-1040 Wien, Austria

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2004

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Abstract

We consider existence of curves c:[0,1]-R^n which minimize an energy of the form @!@?c^(^k^)@?^p (k=1,2,...@?, 1