Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)663-675
Journal / PublicationComputer-Aided Design
Issue number9
Publication statusPublished - Sept 1995
Externally publishedYes


The paper presents a simple technique to assign parameter values to randomly measured points for the least squares fitting of B-spline surfaces. The parameterization is realized by projecting the measured points to a base surface. The parameters of the projected points are then used as the parameters of the measured points. The base surface is in fact a first approximation of the final fitted surface, and it can usually be created from some approximate boundary information in the form of either points or curves. A similar technique can also be used for B-spline curve fitting. © 1995.

Research Area(s)

  • B-spline surfaces, interpolation, parameterization