Geometric Computation for Machine Vision

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Kenichi Kanatani (Professor, Department of Computer Science, Professor, Department of Computer Science, Gunma University, Japan)

Geometric Computation for Machine Vision

Kenichi Kanatani (Professor, Department of Computer Science, Professor, Department of Computer Science, Gunma University, Japan)

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English

Clarendon Press
03 June 1993

Applied mathematics; Robotics; Neural networks & fuzzy systems; Computer vision

Series: Oxford Engineering Science Series

Machine vision is the study of how to build intelligent machines which can understand the environment by vision. Among many existing books on this subject, this book is unique in that the entire volume is devoted to computational problems, which most books do not deal with. One of the main subjects of this book is the mathematics underlying all vision problems - projective geometry, in particular. Since projective geometry has been developed by mathematicians without any regard to machine vision applications, our first attempt is to `tune' it into the form applicable to machine vision problems. The resulting formulation is termed computational projective geometry and applied to 3-D shape analysis, camera calibration, road scene analysis, 3-D motion analysis, optical flow analysis, and conic image analysis.

A salient characteristic of machine vision problems is that data are not necessarily accurate. Hence, computational procedures defined by using exact relationships may break down if blindly applied to inaccurate data. In this book, special emphasis is put on robustness, which means that the computed result is not only exact when the data are accurate but also is expected to give a good approximation in the prescence of noise. The analysis of how the computation is affected by the inaccuracy of the data is also crucial. Statistical analysis of computations based on image data is also one of the main subjects of this book.

By: Kenichi Kanatani (Professor Department of Computer Science Professor Department of Computer Science Gunma University Japan)
Imprint: Clarendon Press
Country of Publication: United Kingdom
Volume: 37
Dimensions: Height: 241mm, Width: 162mm, Spine: 32mm
Weight: 1g
ISBN: 9780198563853
ISBN 10: 019856385X
Series: Oxford Engineering Science Series
Pages: 488
Publication Date: 03 June 1993
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction 1: Computational projective geometry 2: Standard polarity and orthogonality 3: Translational motion and stereo 4: Computation of 3-D rotation 5: Analysis of 3-D rigid motion 6: Analysis of optical flow 7: Analysis of conics 8: Statistical analysis of geometric computation Answers