Surface fitting based on a feature sensitive parametrization

Yu K. Lai; Shi M. Hu; Helmut Pottmann

doi:10.1016/j.cad.2006.04.007

Surface fitting based on a feature sensitive parametrization

Yu K. Lai, Shi M. Hu^*, Helmut Pottmann

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

Most approaches to least squares fitting of a B-spline surface to measurement data require a parametrization of the data point set and the choice of suitable knot vectors. We propose to use uniform knots in connection with a feature sensitive parametrization. This parametrization allocates more parameter space to highly curved feature regions and thus automatically provides more control points where they are needed.

Original language	English (US)
Pages (from-to)	800-807
Number of pages	8
Journal	CAD Computer Aided Design
Volume	38
Issue number	7
DOIs	https://doi.org/10.1016/j.cad.2006.04.007
State	Published - Jul 1 2006

Keywords

Feature sensitivity
Parametrization
Surface approximation

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering
Geometry and Topology

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10.1016/j.cad.2006.04.007

Cite this

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title = "Surface fitting based on a feature sensitive parametrization",

abstract = "Most approaches to least squares fitting of a B-spline surface to measurement data require a parametrization of the data point set and the choice of suitable knot vectors. We propose to use uniform knots in connection with a feature sensitive parametrization. This parametrization allocates more parameter space to highly curved feature regions and thus automatically provides more control points where they are needed.",

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AU - Lai, Yu K.

AU - Hu, Shi M.

AU - Pottmann, Helmut

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N2 - Most approaches to least squares fitting of a B-spline surface to measurement data require a parametrization of the data point set and the choice of suitable knot vectors. We propose to use uniform knots in connection with a feature sensitive parametrization. This parametrization allocates more parameter space to highly curved feature regions and thus automatically provides more control points where they are needed.

AB - Most approaches to least squares fitting of a B-spline surface to measurement data require a parametrization of the data point set and the choice of suitable knot vectors. We propose to use uniform knots in connection with a feature sensitive parametrization. This parametrization allocates more parameter space to highly curved feature regions and thus automatically provides more control points where they are needed.

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KW - Parametrization

KW - Surface approximation

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DO - 10.1016/j.cad.2006.04.007

M3 - Article

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JO - Computer-Aided Design

JF - Computer-Aided Design

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ER -

Surface fitting based on a feature sensitive parametrization

Abstract

Keywords

ASJC Scopus subject areas

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