Open AccessBook
The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications
Reads0
Chats0
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
More filters
Book ChapterDOI
Local Iterative DLT for Interval-Valued Stereo Calibration and Triangulation Uncertainty Bounding in 3D Biological Form Reconstruction
José Otero,Luciano Sánchez +1 more
TL;DR: The use of stereo vision for 3D biological data gathering in the field is affected by constrains in the position of the cameras, the quality of the optical elements and the numerical algorithms for calibration and matching.
Journal ArticleDOI
Parallel implementation of algorithms of three-dimensional model restoration and possibilities of using of GPU
TL;DR: The problem of increasing the productivity of three-dimensional model restoration methods and issues relating to the use of multicore and multiprocessor systems are discussed.
Book ChapterDOI
Indoor Robot Navigation and Mapping Using Sensory Fusion
TL;DR: The proposed approach is a novelty technique to obtain a 3D enviromental map by merging the precision of the laser scanner with the capability of obtaining dense spatial information of the cameras.
Book ChapterDOI
Improving 3D Visual Experience by Controlling the Perceived Depth Distortion
TL;DR: This design scheme provides three patented shooting technologies producing qualitative 3D content for various kinds of scenes (real or virtual, still or animated), complying with any pre-chosen distortion when rendered on any specific multiscopic technology and device as specified previously.