Surface fitting based on a feature sensitive parametrization

Yu Kun Lai; Shi Min Hu; Helmut Pottmann

doi:10.1016/j.cad.2006.04.007

Surface fitting based on a feature sensitive parametrization

Yu Kun Lai, Shi Min Hu^*, Helmut Pottmann

^*Corresponding author for this work

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

34 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 2006
Externally published	Yes

Keywords

Feature sensitivity
Parametrization
Surface approximation

ASJC Scopus subject areas

Industrial and Manufacturing Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

Access to Document

10.1016/j.cad.2006.04.007

Cite this

@article{ba5928cab2d9404a9cb2d18c34f3c15b,

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.",

keywords = "Feature sensitivity, Parametrization, Surface approximation",

author = "Lai, {Yu Kun} and Hu, {Shi Min} and Helmut Pottmann",

year = "2006",

month = jul,

doi = "10.1016/j.cad.2006.04.007",

language = "English (US)",

volume = "38",

pages = "800--807",

journal = "CAD Computer Aided Design",

issn = "0010-4485",

publisher = "Elsevier Ltd",

number = "7",

}

TY - JOUR

T1 - Surface fitting based on a feature sensitive parametrization

AU - Lai, Yu Kun

AU - Hu, Shi Min

AU - Pottmann, Helmut

PY - 2006/7

Y1 - 2006/7

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.

KW - Feature sensitivity

KW - Parametrization

KW - Surface approximation

UR - http://www.scopus.com/inward/record.url?scp=33745863504&partnerID=8YFLogxK

U2 - 10.1016/j.cad.2006.04.007

DO - 10.1016/j.cad.2006.04.007

M3 - Article

AN - SCOPUS:33745863504

SN - 0010-4485

VL - 38

SP - 800

EP - 807

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

IS - 7

ER -

Surface fitting based on a feature sensitive parametrization

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this