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Beschreibung
This book is intended to give undergraduate and beginning graduate
students and researchers in computer vision, applied mathematics,
robotics, and computer graphics a self-contained introduction to the
geometry of 3D vision. Exercises are provided at the end of each
chapter.
This book is intended to give undergraduate and beginning graduate
students and researchers in computer vision, applied mathematics,
robotics, and computer graphics a self-contained introduction to the
geometry of 3D vision. Exercises are provided at the end of each
chapter.
Über den Autor
René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University.
Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University.
S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.
Zusammenfassung
This book is intended to give undergraduate and beginning graduate
students and researchers in computer vision, applied mathematics,
robotics, and computer graphics a self-contained introduction to the
geometry of 3D vision. Exercises are provided at the end of each
chapter.
Inhaltsverzeichnis
Preface
1 Introduction
1.1 Visual perception: from 2-D images to 3-D models
1.2 A mathematical approach
1.3 A historical perspective
I Introductory material
2 Representation of a three-dimensional moving scene
2.1 Three-dimensional Euclidean space
2.2 Rigid body motion
2.3 Rotational motion and its representations
2.4 Rigid body motion and its representations
2.5 Coordinate and velocity transformations
2.6 Summary
2.7 Exercises
2.A Quaternions and Euler angles for rotations
3 Image formation
3.1 Representation of images
3.2 Lenses, light, and basic photometry
3.3 A geometric model of image formation
3.4 Summary
3.5 Exercises
3.A Basic photometry with light sources and surfaces
3.B Image formation in the language of projective geometry
4 Image primitives and correspondence
4.1 Correspondence of geometric features
4.2 Local deformation models
4.3 Matching point features
4.4 Tracking line features
4.5 Summary
4.6 Exercises
4.A Computing image gradients
II Geometry of two views
5 Reconstruction from two calibrated views
5.1 Epipolar geometry
5.2 Basic reconstruction algorithms
5.3 Planar scenes and homography
5.4 Continuous motion case
5.5 Summary
5.6 Exercises
5.A Optimization subject to epipolar constraint
6 Reconstruction from two uncalibrated views
6.1 Uncalibrated camera or distorted space?
6.2 Uncalibrated epipolar geometry
6.3 Ambiguities and constraints in image formation
6.4 Stratified reconstruction
6.5 Calibration with scene knowledge
6.6 Dinner with Kruppa
6.7 Summary
6.8 Exercises
6.A From images to Fundamental matrices
6.B Properties of Kruppa's equations
7 Segmentation of multiple moving objects from two views
7.1 Multibody epipolar constraint and Fundamental matrix
7.2 A rank condition for the number of motions
7.3 Geometric properties of the multibody Fundamental matrix
7.4 Multibody motion estimation and segmentation
7.5 Multibody structure from motion
Details
Erscheinungsjahr: 2010
Genre: Importe, Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xx
528 S.
ISBN-13: 9781441918468
ISBN-10: 1441918469
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ma, Yi
Soatto, Stefano
Kosecká, Jana
Sastry, S. Shankar
Hersteller: Humana
Springer
Springer US, New York, N.Y.
Interdisciplinary Applied Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 30 mm
Von/Mit: Yi Ma (u. a.)
Erscheinungsdatum: 24.11.2010
Gewicht: 0,82 kg
Artikel-ID: 107253314

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