Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. 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.

List of contents

1. Introduction.- 2. Least-Squares Orthogonal Distance Fitting.- 3. Orthogonal Distance Fitting of Implicit Curves and Surfaces.- 4. Orthogonal Distance Fitting of Parametric Curves and Surfaces.- 5. Object Reconstruction from Unordered Point Cloud.- 6. Conclusions.

Product details

• Authors: Sung Joon Ahn
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 07.12.2004
• EAN: 9783540239666
• ISBN: 978-3-540-23966-6
• No. of pages: 127
• Weight: 234 g
• Illustrations: XXII, 127 p.
• Series: Lecture Notes in Computer Science
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; Algebra, C, Algorithmen und Datenstrukturen, Algorithms, Grafikprogrammierung, Numerische Mathematik, Mathematics, computer science, Theory of Computation, Computer Graphics, Mathematics, general, Computers, Algorithms & data structures, Numerical analysis, Mathematical theory of computation, Algorithm Analysis and Problem Complexity, Graphics programming, Numeric Computing