A concept for parametric surface fitting which avoids the parametrization problem

Helmut Pottmann; Stefan Leopoldseder

doi:10.1016/S0167-8396(03)00078-5

A concept for parametric surface fitting which avoids the parametrization problem

Helmut Pottmann, Stefan Leopoldseder^*

^*Corresponding author for this work

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

86 Scopus citations

Abstract

An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.

Original language	English (US)
Pages (from-to)	343-362
Number of pages	20
Journal	Computer Aided Geometric Design
Volume	20
Issue number	6
DOIs	https://doi.org/10.1016/S0167-8396(03)00078-5
State	Published - Sep 2003
Externally published	Yes

Keywords

Active contour
B-spline surface
Degree reduction
Offset surface approximation
Parametrization
Spline conversion
Surface approximation
Surface fitting

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/S0167-8396(03)00078-5

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@article{d69ea88f902a4ae3be76c90a3f0528db,

title = "A concept for parametric surface fitting which avoids the parametrization problem",

abstract = "An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.",

keywords = "Active contour, B-spline surface, Degree reduction, Offset surface approximation, Parametrization, Spline conversion, Surface approximation, Surface fitting",

author = "Helmut Pottmann and Stefan Leopoldseder",

note = "Funding Information: We would like to thank the referees for their valuable comments and suggestions to improve this paper. Furthermore, we thank Hongkai Zhao for his help in the implementation of his fast sweeping algorithm. This research has been carried out as part of the project P16002-N05 supported by the Austrian Science Fund (FWF). Additionally, this work was supported, in part, by the innovative project {\textquoteleft}3D technology{\textquoteright} of Vienna University of Technology.",

year = "2003",

month = sep,

doi = "10.1016/S0167-8396(03)00078-5",

language = "English (US)",

volume = "20",

pages = "343--362",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier B.V.",

number = "6",

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TY - JOUR

T1 - A concept for parametric surface fitting which avoids the parametrization problem

AU - Pottmann, Helmut

AU - Leopoldseder, Stefan

N1 - Funding Information: We would like to thank the referees for their valuable comments and suggestions to improve this paper. Furthermore, we thank Hongkai Zhao for his help in the implementation of his fast sweeping algorithm. This research has been carried out as part of the project P16002-N05 supported by the Austrian Science Fund (FWF). Additionally, this work was supported, in part, by the innovative project ‘3D technology’ of Vienna University of Technology.

PY - 2003/9

Y1 - 2003/9

N2 - An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.

AB - An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.

KW - Active contour

KW - B-spline surface

KW - Degree reduction

KW - Offset surface approximation

KW - Parametrization

KW - Spline conversion

KW - Surface approximation

KW - Surface fitting

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U2 - 10.1016/S0167-8396(03)00078-5

DO - 10.1016/S0167-8396(03)00078-5

M3 - Article

AN - SCOPUS:0042861788

SN - 0167-8396

VL - 20

SP - 343

EP - 362

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 6

ER -

A concept for parametric surface fitting which avoids the parametrization problem

Abstract

Keywords

ASJC Scopus subject areas

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