Geschäftskunden Kundenprogramme
Vor Ort
Merkzettel Warenkorb
Produktbild: Theory of Reconstruction from Image Motion
Band 28

Theory of Reconstruction from Image Motion

Aus der Reihe Springer Series in Information Sciences

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.12.2011

Verlag

Springer Berlin

Seitenzahl

261

Maße (L/B/H)

23.5/15.5/1.6 cm

Gewicht

423 g

Auflage

Softcover reprint of the original 1st ed. 1993

Sprache

Englisch

ISBN

978-3-642-77559-8

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.12.2011

Verlag

Springer Berlin

Seitenzahl

261

Maße (L/B/H)

23.5/15.5/1.6 cm

Gewicht

423 g

Auflage

Softcover reprint of the original 1st ed. 1993

Sprache

Englisch

ISBN

978-3-642-77559-8

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Theory of Reconstruction from Image Motion
  • 1 Introduction.- 1.1 Background.- 1.2 Reconstruction.- 1.3 Conventions About the Image.- 1.4 Mathematical Background.- 1.4.1 Terminology.- 1.4.2 Euclidean Space and Projective Space.- 1.4.3 Algebraic Curves.- References.- 2 Reconstruction from Image Correspondences.- 2.1 Euclidean Framework for Reconstruction.- 2.1.1 Euclidean Treatment of Ambiguity.- 2.1.2 Ambiguity and Instability.- 2.1.3 The Maximum Number of Reconstructions.- 2.2 Essential Matrices.- 2.2.1 A Characterisation of Essential Matrices.- 2.2.2 The Singular Value Decomposition.- 2.2.3 Symmetric and Antisymmetric Parts.- 2.2.4 Ambiguity.- 2.3 Projective Framework for Reconstruction.- 2.3.1 The Epipolar Transformation.- 2.3.2 Ambiguity.- 2.3.3 The Intersection of a Critical Surface Pair.- 2.4 Reconstruction up to a Collineation.- 2.4.1 Reconstruction Based on the Epipolar Transformation.- 2.4.2 Ambiguity.- 2.4.3 Critical Surfaces.- References.- 3 Critical Surfaces and Horopter Curves.- 3.1 The Absolute Conic.- 3.1.1 The Absolute Conic and Camera Calibration.- 3.1.2 Involutions and the Absolute Conic.- 3.2 Rectangular Quadrics.- 3.2.1 Algebraic Characterisations of Rectangular Quadrics.- 3.2.2 Rigid Involutions of Rectangular Quadrics.- 3.3 Horopter Curves.- 3.3.1 Characterisations of Horopter Curves.- 3.3.2 Rigid Involutions of Horopter Curves.- 3.3.3 The Centre of a Horopter Curve.- 3.3.4 Examples.- 3.3.5 Horopter Curves on Rectangular Quadrics.- 3.4 Horopter Curves and Reconstruction.- 3.4.1 A Formula for ??.- 3.4.2 Two Cubic Constraints on Critical Surfaces.- 3.4.3 An Example.- 3.5 Reconstruction up to a Collineation.- References.- 4 Reconstruction from Image Velocities.- 4.1 Framework.- 4.2 Ambiguity.- 4.2.1 Preliminary Results.- 4.2.2 Critical Surfaces.- 4.2.3 Singular Critical Surfaces.- 4.2.4 Critical Surface Pairs.- 4.2.5 Cubic Polynomial Constraints on Critical Surfaces.- 4.2.6 The Maximum Number of Reconstructions.- 4.3 Algebraic Properties of Four Image Velocity Vectors.- 4.3.1 The Quartic Polynomial Constraint.- 4.3.2 Irregular Image Velocity Fields.- 4.3.3 The Effects of Small Perturbations.- 4.3.4 Symmetric Arrangements of Base Points: The Square.- 4.3.5 Symmetric Arrangements of Base Points: The Tripod.- 4.4 The Linear System of Quartics.- 4.4.1 The Dimension of the Linear System.- 4.4.2 Singular Points of Quartics.- 4.4.3 Base Points of the Linear System.- 4.5 The Derivatives of the Image Velocity Field.- 4.5.1 The Derivatives to Second Order.- 4.5.2 Polynomial Constraints on the Translational Velocity.- 4.5.3 Time to Contact.- References.- 5 Reconstruction from Minimal Data.- 5.1 Kruppa’s Method.- 5.1.1 The Homography.- 5.1.2 Constraints Arising from the Camera Calibration.- 5.1.3 The Two Sextics.- 5.2 Demazure’s Method.- 5.2.1 The Variety of Essential Matrices.- 5.2.2 Properties of the Variety of Essential Matrices.- 5.2.3 Linear Subspaces of ?8.- 5.2.4 Ten Distinct Intersections.- 5.3 Reconstruction up to a Collineation.- 5.3.1 Sturm’s Method.- 5.3.2 An Algebraic Method.- 5.4 Reconstruction From Five Image Velocity Vectors.- 5.4.1 Preliminary Results.- 5.4.2 The Quartic Constraints.- 5.4.3 Counting the Solutions.- 5.4.4 Critical Surfaces.- 5.4.5 Counting the Critical Surfaces.- References.- 6 Algorithms.- 6.1 Reconstruction from Image Correspondences.- 6.1.1 An SVD Based Algorithm.- 6.1.2 Descent Algorithms.- 6.2 Reconstruction from Image Velocities.- 6.2.1 A Least Squares Algorithm.- 6.2.2 Properties of the Least Squares Error Function.- 6.2.3 Irregular Image Velocity Fields.- 6.2.4 The First Order Algorithm.- 6.2.5 Constraints on the Translational Velocity.- References.