Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

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Due to the continuing progress of sensor technology, the availability of 3-D c- eras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There is a variety of 3-D camera - plications in the ?elds of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object m- els from the point cloud and then further process them in CAD systems, ef?cient and stable algorithms for 3-D information processing are required. For the au- matic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, ef?cient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-?t’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.

Author(s): Sung Joon Ahn (auth.)
Series: Lecture Notes in Computer Science 3151
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2004

Language: English
Pages: 127
City: Berlin; New York
Tags: Numeric Computing; Algorithm Analysis and Problem Complexity; Computer Graphics; Image Processing and Computer Vision; Appl.Mathematics/Computational Methods of Engineering; Convex and Discrete Geometry

Front Matter....Pages I-XX
1. Introduction....Pages 1-16
2. Least-Squares Orthogonal Distance Fitting....Pages 17-34
3. Orthogonal Distance Fitting of Implicit Curves and Surfaces....Pages 35-53
4. Orthogonal Distance Fitting of Parametric Curves and Surfaces....Pages 55-73
5. Object Reconstruction from Unordered Point Cloud....Pages 75-84
6. Conclusions....Pages 85-91
Erratum....Pages 126-126
Back Matter....Pages 93-125