Shape preserving interpolation on surfaces

Ginnis, A.-A.I. and Kaklis, P.D. (2017) Shape preserving interpolation on surfaces. In: Dagstuhl Seminar 17221, 2017-05-28 - 2017-06-02, Saarland.

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Abstract

We introduce a criterion for G2 shape-preserving interpolation of points on surfaces, based on the behaviour of the corresponding composite geodesic interpolant in the neighbourhood of the data points. Two alternative families of splines are proposed, combining appropriately nu- or non-uniform-degree splines with preimages of the geodesic segments, for conforming to the shape-preservation criterion for sufficiently large values of the nu or interval-degree parameters. Preliminary numerical results are given using the nu-splines-based interpolants for shape-preserving interpolation on cylinders, spheres and free-form surfaces.

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• Item metadata

  Item type:	Conference or Workshop Item(Speech)
  ID code:	79363
  Dates:	Date Event 31 May 2017 Published 1 May 2017 Accepted
  Subjects:	Technology > Hydraulic engineering. Ocean engineering
  Department:	Faculty of Engineering > Naval Architecture, Ocean & Marine Engineering
  Depositing user:	Pure Administrator
  Date deposited:	28 Jan 2022 14:24
  Last modified:	11 Nov 2024 17:05
  Related URLs:	https://www.dagstuhl.de/en/program/calen...
  URI:	https://strathprints.strath.ac.uk/id/eprint/79363