Open AccessBook
The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications
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TLDR
The state of knowledge in one subarea of vision is described, the geometric laws that relate different views of a scene from the perspective of various types of geometries, which is a unified framework for thinking about many geometric problems relevant to vision.Abstract:
From the Publisher:
with contributions from Theo Papadopoulo
Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry.
Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.read more
Citations
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Book ChapterDOI
Epipolar Angular Factorisation of Essential Matrix for Camera Pose Calibration
TL;DR: The proposed five parameter representation of the essential matrix is minimal and exhibits the fast convergence in LMM optimization algorithm used for camera pose calibration.
Line Based Estimation of Object Space Geometry and Camera Motion
TL;DR: This dissertation leverage the state of art by waiving the Plücker constraint and propose two streamlined solutions to 3D line estimation problem and develops a new bundle adjustment model that defines a geometric error in the object space.
Dissertation
Intelligent people surveillance framework using multiple cooperative cameras
TL;DR: An integrated framework for intelligent people surveillance using multiple cameras is proposed in this thesis and a novel relay strategy is developed by combining the tracking algorithm and the pan-tilt-zoom capabilities, and therefore the object being tracked can be handed over between cameras.
Dissertation
Camera Models and algorithms for 3D video content creation
TL;DR: A new Bayesian approach to the problem of novel view synthesis is proposed, based on a generative model taking into account the uncertainty of the image warps in the image formation model, which outperforms state-of-the-art image-based rendering techniques on challenging datasets.
Book ChapterDOI
Camera self-calibration with parallel screw axis motion by intersecting imaged horopters
TL;DR: A closed-form method for the self-calibration of a camera (intrinsic and extrinsic parameters) from at least three images acquired with parallel screw axis motion, i.e. the camera rotates about parallel axes while performing general translations.