B-spline surface fitting to random points with bounded boundary conditions

Kuo Jen Chen, Yao Chen Tsai, Jiing Yih Lai, Wen Der Ueng

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Two algorithms for the surface fitting of random points are developed. The first algorithm is employed to pass through four given boundary curves, while the second algorithm is employed to achieve an extended bound. The fitted surface is essentially a B-spline surface where the control points and the parametric values of each measured point are unknown. Two kinds of base surfaces are proposed for the initialisation of the parametric values. An objective function, including an error function and an energy function, is then developed for the optimisation of unknown parameters. The feasibility of the proposed method is demonstrated.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalInternational Journal of Computer Applications in Technology
Volume30
Issue number4
DOIs
StatePublished - Feb 2007

Keywords

  • B-spline surfaces
  • Boundary constraints
  • Random points
  • Surface fairing
  • Surface fitting

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