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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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Journal ArticleDOI
Feature-Based Sequence-to-Sequence Matching
TL;DR: In this paper, the problem of matching two unsynchronized video sequences of the same dynamic scene, recorded by different stationary uncalibrated video cameras, is addressed by enforcing consistent matching of all points along corresponding space-time trajectories.
Journal ArticleDOI
Toward large-area mosaicing for underwater scientific applications
Oscar Pizarro,Hanumant Singh +1 more
TL;DR: The general constraints associated with imaging from underwater vehicles for scientific applications are looked at - low overlap, nonuniform lighting, and unstructured motion - and a methodology for dealing with these constraints toward a solution of the problem of large-area global mosaicing is presented.
Journal ArticleDOI
Vanishing point detection without any a priori information
TL;DR: This work develops a new detection algorithm that relies on the Helmoltz principle, which leads to a vanishing point detector with a low false alarms rate and a high precision level, which does not rely on any a priori information on the image or calibration parameters, and does not require any parameter tuning.
Journal ArticleDOI
Computer vision techniques for forest fire perception
TL;DR: Computer vision techniques for forest fire perception involving measurement of forest fire properties (fire front, flame height, flame inclination angle, fire base width) required for the implementation of advanced forest fire-fighting strategies are presented.
Book ChapterDOI
3D reconstruction of a moving point from a series of 2D projections
TL;DR: The linear reconstruction algorithm is applied to reconstruct the time evolving 3D structure of several real-world scenes, given a collection of non-coincidental 2D images.