An Iterative Procedure to Fit an Ellipse to a Set of Points
Summary :
In computer vision and digital image processing it is an important task to estimate an ellipse most fitting a set of points. An ellipse is specified by nonlinearly constrained parameters, which are difficult to be reflected in a criterion function. We show that iterative processes are useful to solve problems in such a case, and propose an iterative procedure to fit an ellipse to a set of points. In the procedure the nonlinear constraints on parameters are represented by a properly defined nonlinear operator. Experimental results on personal computer indicate the effectiveness of the procedure.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.10 pp.3041-3045
- Publication Date
- 1991/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Issue on JTC-CSCC '90)
- Category
- Speech and Image Processing
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Ryuzo TAKIYAMA, Naoki ONO, "An Iterative Procedure to Fit an Ellipse to a Set of Points" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 10, pp. 3041-3045, October 1991, doi: .
Abstract: In computer vision and digital image processing it is an important task to estimate an ellipse most fitting a set of points. An ellipse is specified by nonlinearly constrained parameters, which are difficult to be reflected in a criterion function. We show that iterative processes are useful to solve problems in such a case, and propose an iterative procedure to fit an ellipse to a set of points. In the procedure the nonlinear constraints on parameters are represented by a properly defined nonlinear operator. Experimental results on personal computer indicate the effectiveness of the procedure.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_10_3041/_p
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@ARTICLE{e74-a_10_3041,
author={Ryuzo TAKIYAMA, Naoki ONO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Iterative Procedure to Fit an Ellipse to a Set of Points},
year={1991},
volume={E74-A},
number={10},
pages={3041-3045},
abstract={In computer vision and digital image processing it is an important task to estimate an ellipse most fitting a set of points. An ellipse is specified by nonlinearly constrained parameters, which are difficult to be reflected in a criterion function. We show that iterative processes are useful to solve problems in such a case, and propose an iterative procedure to fit an ellipse to a set of points. In the procedure the nonlinear constraints on parameters are represented by a properly defined nonlinear operator. Experimental results on personal computer indicate the effectiveness of the procedure.},
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - An Iterative Procedure to Fit an Ellipse to a Set of Points
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3041
EP - 3045
AU - Ryuzo TAKIYAMA
AU - Naoki ONO
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1991
AB - In computer vision and digital image processing it is an important task to estimate an ellipse most fitting a set of points. An ellipse is specified by nonlinearly constrained parameters, which are difficult to be reflected in a criterion function. We show that iterative processes are useful to solve problems in such a case, and propose an iterative procedure to fit an ellipse to a set of points. In the procedure the nonlinear constraints on parameters are represented by a properly defined nonlinear operator. Experimental results on personal computer indicate the effectiveness of the procedure.
ER -
English
