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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Proceedings ArticleDOI
Cloth capture
TL;DR: By combining strain minimization with the point reconstruction the authors produce visually appealing cloth sequences and use a novel scheme for camera calibration using the pattern, derived from the shape from texture literature.
Proceedings ArticleDOI
Identifying precursory cancer lesions using temporal texture analysis
TL;DR: Different patterns for normal and abnormal regions are found by this temporal texture analysis showing the possibility to detect important lesions in precursory cancer lesions analyzing colposcopy video frames.
Journal ArticleDOI
4-dimensional recording and visualization of urban archeological excavations
TL;DR: The aim of this paper is to present, in a practical context, some of the many capabilities of 3D surveying performed through digital photogrammetry based on multi-view structure-from-motion approach in the field of urban emergency archeology.
Dissertation
Cooperative Perception Techniques for Multiple Unmanned Aerial Vehicles: Applications to the Cooperative Detection, Localization and Monitoring of Forest Fires.
TL;DR: The potential application of aerial robots for fire fighting is one of the guides of the thesis, and thus, the cooperative perception techniques are applied to the automatic detection and localization of forest fires.
Book ChapterDOI
A sampling theorem for a 2d surface
Deokwoo Lee,Hamid Krim +1 more
TL;DR: A new approach to determining an optimal sampling rate for a 2D-surface reconstruction using the so-called Two-Thirds Power Law is proposed, which is of interest in a number of applications such as 3D face recognition and development of new efficient 3D cameras.