عنوان

Theory of Reconstruction from Image Motion

(Number (ISBN

3540555374

(Number (ISBN

3642775578

(Number (ISBN

9783540555377

(Number (ISBN

9783642775574

Number

b573686

Title Proper

Theory of Reconstruction from Image Motion

General Material Designation

[Book]

First Statement of Responsibility

by Stephen Maybank.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1993

Specific Material Designation and Extent of Item

(xi, 261 pages 29 illustrations)

Series Title

Springer series in information sciences, 28.

Text of Note

1 Introduction --; 1.1 Background --; 1.2 Reconstruction --; 1.3 Conventions About the Image --; 1.4 Mathematical Background --; References --; 2 Reconstruction from Image Correspondences --; 2.1 Euclidean Framework for Reconstruction --; 2.2 Essential Matrices --; 2.3 Projective Framework for Reconstruction --; 2.4 Reconstruction up to a Collineation --; References --; 3 Critical Surfaces and Horopter Curves --; 3.1 The Absolute Conic --; 3.2 Rectangular Quadrics --; 3.3 Horopter Curves --; 3.4 Horopter Curves and Reconstruction --; 3.5 Reconstruction up to a Collineation --; References --; 4 Reconstruction from Image Velocities --; 4.1 Framework --; 4.2 Ambiguity --; 4.3 Algebraic Properties of Four Image Velocity Vectors --; 4.4 The Linear System of Quartics --; 4.5 The Derivatives of the Image Velocity Field --; References --; 5 Reconstruction from Minimal Data --; 5.1 Kruppa's Method --; 5.2 Demazure's Method --; 5.3 Reconstruction up to a Collineation --; 5.4 Reconstruction From Five Image Velocity Vectors --; References --; 6 Algorithms --; 6.1 Reconstruction from Image Correspondences --; 6.2 Reconstruction from Image Velocities --; References.

Text of Note

Theory of Reconstruction from Image Motion presents the mathematics underlying the reconstruction of camera motion from the movements of points in the camera image. It describes recent work employing mathematical methodsdrawn from linear algebra, projective geometry, algebraic geometry, the theory of transversality and the theory of least squares approximation. Manyproblems in reconstruction are best tackled using methods from projective oralgebraic geometry. However, these methods are not widely known to researchers in computer vision. As a consequence, purely algebraic methods are often used instead, leading to large and complicated expressions, which are difficult to interpret. Many of the arguments in thisvolume illustrate the speed and efficiency of geometric methods for solving certain problems that arise in reconstruction. This book is a good starting point for anyone interested in the application of different mathematical techniques to the rapidly expanding field of computer vision, especially in the areas of vehicle guidance, robotics and remote sensing.

Computer simulation.

Mathematical physics.

Physics.

Class number

Book number

by Stephen Maybank.

Stephen Maybank

Electronic name

[Book]

Y