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Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

  • Book
  • © 2004

Overview

Authors:
  1. Sung Joon Ahn

    1. Fraunhofer IPA, Stuttgart, Germany

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 3151)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XX
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  2. 1. Introduction

    • Sung Joon Ahn
    Pages 1-16

  3. 2. Least-Squares Orthogonal Distance Fitting

    • Sung Joon Ahn
    Pages 17-34

  4. 3. Orthogonal Distance Fitting of Implicit Curves and Surfaces

    • Sung Joon Ahn
    Pages 35-53

  5. 4. Orthogonal Distance Fitting of Parametric Curves and Surfaces

    • Sung Joon Ahn
    Pages 55-73

  6. 5. Object Reconstruction from Unordered Point Cloud

    • Sung Joon Ahn
    Pages 75-84

  7. 6. Conclusions

    • Sung Joon Ahn
    Pages 85-91

  8. Erratum

    • Sung Joon Ahn
    Pages 126-126

  9. Back Matter

    Pages 93-125
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Keywords

About this book

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.

Authors and Affiliations

  • Fraunhofer IPA, Stuttgart, Germany

    Sung Joon Ahn

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