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Implicit surface fitting using directional constraints
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2001 (English)In: Bit: numerical mathematics, ISSN 0006-3835, Vol. 41, no 2, 308-321 p.Article in journal (Refereed) Published
Abstract [en]

A commonly used technique for fitting curves and surfaces to measured data is that known as orthogonal distance regression, where the sum of squares of orthogonal distances from the data points to the surface is minimized. An alternative has recently been proposed for curves and surfaces which are parametrically defined, which minimizes the sum of squares in given directions which depend on the measuring process. In addition to taking account of that process, it is claimed that this technique has the advantage of complying with traditional fixed-regressor assumptions, enabling standard inference theory to apply. Here we consider extending this idea to curves and surfaces where the only assumption made is that there is an implicit formulation. Numerical results are given to illustrate the algorithmic performance.

Place, publisher, year, edition, pages
2001. Vol. 41, no 2, 308-321 p.
Keyword [en]
Gauss-Newton - least squares - metrology - surface fitting
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3975DOI: 10.1023/A:1021942507052ISI: 000169755200005Scopus ID: 2-s2.0-0042834151Local ID: 4389OAI: oai:DiVA.org:miun-3975DiVA: diva2:29007
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2016-10-27Bibliographically approved

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CiteExportLink to record
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  • apa
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