Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

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Description

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.
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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
  • 2,185,756

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.
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