Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space / Edition 1

by Sung Joon Ahn

Overview

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.

Product Details

ISBN-13:	9783540239666
Publisher:	Springer Berlin Heidelberg
Publication date:	01/12/2005
Series:	Lecture Notes in Computer Science , #3151
Edition description:	2004
Pages:	127
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

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.