Least squares orthogonal distance fitting of curves and surfaces in space

Hochschulschrift

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 curve or surface and the measurement point. After reviewing the basics for representing curves and surfaces in space and fitting in general, the author presents three algorithms for orthogonal distance fitting combining numerical methods and minimizational methods. These algorithms are applied to implicit and parametric curves and surfaces in 2D and 3D space processing a broad variety of algorithmic features. Finally, an appendix provides practical information for applying the general orthogonal distance fitting algorithms to fit special model features. Obvious application areas of the algorithms presented are robot navigation, including the navigation of autonomous vehicles or the grasping of work pieces, as well as factory digitization in general

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9783540239666 ; 3540239669
• Dimensions: 24 cm
• Extent: XX, 125 S.
• Language: Englisch
• Notes: Ill., graph. Darst. ; Zugl.: Stuttgart, Univ., Diss., 2004

References and Relationships

• Bibliographic citation: Lecture notes in computer science ; Vol. 3151

Classification and Topics

• Classification: Mathematik
• Keyword: Kurvenanpassung ; Methode der kleinsten Quadrate ; Fläche ; Anpassung ; Methode der kleinsten Quadrate

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Berlin, Heidelberg, New York
• (who): Springer
• (when): 2004
• Creator: Ahn, Sung Joon

Further information

• Table of contents: https://d-nb.info/972605924/04
• Rights: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Last update: 11.03.2025, 12:21 PM CET