Geometric construction of spline curves with tension properties

  • Authors:
  • Paolo Costantini;Carla Manni

  • Affiliations:
  • Dipartimento di Scienze Matematiche ed Informatiche "R. Magari", Via del Capitano 15, 53100 Siena, Italy;Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2003

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Abstract

In this paper a class of C2 ∩ FC3 spline curves possessing tension properties is described. These curves can be constructed using a simple modification of the well-known geometric construction of C4 quintic splines; therefore their shape can be easily controlled using the control net. Their applications in approximation and interpolation of spatial data will be discussed.