Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

By (author) 

Free delivery worldwide

Available. Expected delivery to the United States in 10-15 business days.

Not ordering to the United States? Click here.


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.
show more

Product details

  • Paperback | 127 pages
  • 155 x 235 x 8.13mm | 490g
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Berlin, Germany
  • English
  • 2004 ed.
  • XXII, 127 p.
  • 3540239669
  • 9783540239666
  • 2,661,091

Table 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.
show more