10 edition of **Least squares orthogonal distance fitting of curves and surfaces in space** found in the catalog.

- 153 Want to read
- 13 Currently reading

Published
**2004**
by Springer in Berlin, New York
.

Written in English

- Curve fitting.,
- Curves, Orthogonal.,
- Surfaces, Orthogonal.,
- Least squares -- Computer programs.

**Edition Notes**

Statement | Sung Joon Ahn. |

Series | Lecture notes in computer science,, 3151 |

Classifications | |
---|---|

LC Classifications | QA297.6 .A36 2004 |

The Physical Object | |

Pagination | xx, 125 p. : |

Number of Pages | 125 |

ID Numbers | |

Open Library | OL3316723M |

ISBN 10 | 3540239669 |

LC Control Number | 2004115279 |

OCLC/WorldCa | 57333938 |

2. Fitting implicit curves and surfaces Least squares problems are commonly solved by the Gauss-Newton (GN) method or its Levenberg-Marquardt (LM) correction. If one minimizes a sum of squares F(£) = P f2 i, then both GM and LM would use the values of fi’s and their ﬁrst derivatives with respect to £, which we denote by (fi)£.~mosya/papers/ Although the orthogonal projection points may not be computed explicitly, this approach provides the basis for least squares fitting of points with various geometric entities. Ahn et al. [12] addressed the problem of fitting of circle, sphere, ellipse, hyperbola and parabola to given points in the least squares ://

This book describes in detail the complete set of ‘best-fit’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software. Introduction Least-Squares Orthogonal Distance Fitting Orthogonal Distance Fitting of Implicit Curves and Surfaces Orthogonal Distance Fitting of Parametric Curves and Surfaces Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola. Share on. On lines and planes of closest fit to systems of points in space, Philos. Mag. Ser. 6, 2 () Google Scholar; Orthogonal distance fitting by circles and ellipses with given area, Comput. Stat., 12 () (00)

One of the most widely used methodologies in scientific and engineering research is the fitting of equations to data by least squares. In cases where significant observation errors exist in the independent variables as well as the dependent variables, however, the ordinary least squares (OLS) approach, where all errors are attributed to the dependent variable, is often :// Fitting of data points by parametric curves and surfaces is demanded in many scientific fields. In this paper we review and analyze existing least squares orthogonal distance fitting techniques in a general numerical optimization framework. Two new geometric variant methods (GTDM and CDM) are proposed. The geometric meanings of existing and modified optimization methods are [ ]

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This book describes in detail the complete set of ‘best-fit’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.

Keywords 2D curves 3D 3D surfaces SPIN algorithm algorithmic geometry algorithms computational geometry curve fitting least squares approximation model numerical methods object Request PDF | Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space | This book presents in detail a complete set of best-fit algorithms for general curves and surfaces in :// Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space.

Authors: Ahn, Sung Joon This book describes in detail the complete set of ‘best-fit’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.

Show › Computer Science › Theoretical Computer Science. The techniques developed are based on fitting a curve or surface, such that the sum of the squares of the orthogonal distances from a given set of data points to the curve or surface is minimized. Except in special cases, this minimization requires the solution of a nonlinear least squares :// Least squares orthogonal distance fitting of curves and surfaces in space.

By S.J. Ahn. Cite. This book presents in detail a complete set of best-fit algorithms for general curves and surfaces in space. Such best-fit algorithms approximate and estimate curve and surface parameters by minimizing the shortest distances between the vcurve of Least Squares Orthogonal Distance Fitting Of Curves And Surfaces In Space的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。 Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space (Lecture Notes in Computer Science) [Paperback] [] (Author) Sung Joon Ahn on *FREE* shipping on qualifying offers.

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space (Lecture Notes in Computer Science) [Paperback] [] (Author) Sung Joon Ahn Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space Lecture Notes in Computer ScienceBand : Ahn, Sung Joon: Fremdsprachige Bücher Découvrez et achetez Least squares orthogonal distance fitting of curves and surfaces in space (LNCS ) POD.

Livraison en Europe à 1 centime seulement. Least squares orthogonal distance fitting of curves and surfaces in space Sung Joon Ahn （Lecture notes in computer science, ） Springer, Get this from a library.

Least squares orthogonal distance fitting of curves and surfaces in space. [Sung Joon Ahn] Least Squares Orthogonal Distance Fitting of Implicit Curves and Surfaces.

Authors; W. Rauh, and H.-J. Warnecke, Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation, from book Pattern Recognition: cqb8lqeu1b_Least Squares Orthogonal Distance Fitting of Implicit Curves and Estimation of Planar Curves, Surfaces, and Nonplanar Space Find helpful customer reviews and review ratings for Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space (Lecture Notes in Computer Science) at Read honest and unbiased product reviews from our :// Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space Volume of Lecture Notes in Computer Science: Author: Sung Joon Ahn: Edition: illustrated: Publisher: Springer Science & Business Media, ISBN:Length: pages: Subjects Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space Due to the continuing progress of sensor technology, the availability of 3-D c- eras is already foreseeable.

These cameras are capable of generating a large set of measurement points within a very short Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space 开发技术 > 其它 所需积分/C币： 1 MB PDF Get this from a library. Least squares orthogonal distance fitting of curves and surfaces in space.

[Sung Joon Ahn] -- This book presents in detail a complete set of best-fit algorithms for general curves and surfaces in space.

Such best-fit algorithms approximate and estimate curve and surface parameters by Ahn, Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space,Buch, Bücher schnell und portofrei Access Google Sites with a free Google account (for personal use) or G Suite account (for business use).

A common method of fitting curves and surfaces to data is to minimize the sum of squares of the orthogonal distances from the data points to the curve or surface, a process known as orthogonal distance regression. Here we consider fitting geometrical objects to data when some orthogonal distances are not ?cid= Least Squares Orthogonal Distance Fitting of Curves and surfaces in Space; Nonlinear Least Squares for Inverse Problems: Theoretical Foundations and Step-by-Step Guide for Applications (Repost) Nonlinear Least Squares for Inverse Problems: Theoretical Foundations and Step-by-Step Guide for Applications Orthogonal Distance Fit An alternative to minimizing the residual is to minimize the orthogonal distance to the line.

Minimizing P d2 i is known as the Orthogonal Distance Regression problem. See, e.g., ˚Ake Bj¨ ork, Numerical Methods for Least Squares Problems,SIAM, Philadelphia. y d 2 d 1 x 1 d 3 d 4 x 2 x 3 x 4 NMM: Least Squares ~gerry/nmm/course/slides/