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

Weiyin Ma; JP Kruth

doi:10.1016/0010-4485(94)00018-9

Author(s)

Weiyin Ma
JP Kruth

Detail(s)

Original language	English
Pages (from-to)	663-675
Journal / Publication	Computer-Aided Design
Volume	27
Issue number	9
Publication status	Published - Sept 1995
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/0010-4485(94)00018-9 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0029183772&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(31c4ff1b-d9d7-4de1-90ca-32429d5c96f3).html

Abstract

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces. / Ma, Weiyin; Kruth, JP.
In: Computer-Aided Design, Vol. 27, No. 9, 09.1995, p. 663-675.

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

Ma, W & Kruth, JP 1995, 'Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces', Computer-Aided Design, vol. 27, no. 9, pp. 663-675. https://doi.org/10.1016/0010-4485(94)00018-9

Ma, W., & Kruth, JP. (1995). Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces. Computer-Aided Design, 27(9), 663-675. https://doi.org/10.1016/0010-4485(94)00018-9

Ma W, Kruth JP. Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces. Computer-Aided Design. 1995 Sept;27(9):663-675. doi: 10.1016/0010-4485(94)00018-9

Ma, Weiyin ; Kruth, JP. / Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces. In: Computer-Aided Design. 1995 ; Vol. 27, No. 9. pp. 663-675.