Elements of Computer Vision: Multiple View Geometry
نویسنده
چکیده
It is worth reminding the reader that geometry is an important but not the only important aspect of computer vision, and in particular of multi-view vision. The information brought by each image pixel is twofold: its position and its colour (or brightness, for a monochrome image). Ultimately, each computer vision system must start with brightness values, and, to smaller or greater depth, link such values to the 3D world.
منابع مشابه
Projective Geometry for 3D Modeling of Objects
This chapter surveys many fundamental aspects of projective geometry that have been used extensively in computer vision literature. In particular, it discusses the role of this branch of geometry in reconstructing basic entities (e.g., 3D points, 3D lines, and planes) in 3D space from multiple images. The chapter presents the notation of different elements. It investigates the geometrical relat...
متن کاملProjective Geometry for 3D Modeling of Objects
This chapter surveys many fundamental aspects of projective geometry that have been used extensively in computer vision literature. In particular, it discusses the role of this branch of geometry in reconstructing basic entities (e.g., 3D points, 3D lines, and planes) in 3D space from multiple images. The chapter presents the notation of different elements. It investigates the geometrical relat...
متن کاملGeneralized Rank Conditions in Multiple View Geometry with Applications to Dynamical Scenes
In this paper, the geometry of a general class of projections from Rn to Rk (k < n) is examined, as a generalization of classic multiple view geometry in computer vision. It is shown that geometric constraints that govern multiple images of hyperplanes in Rn , as well as any incidence conditions among these hyperplanes (such as inclusion, intersection, and restriction), can be systematically ca...
متن کاملMultiple View Vision
The goal of this paper is to give a short historical overview of multiple view vision and in particular the estimation of both camera geometry and scene models using only images as input. This problem (the structure and motion problem) can be seen as the mathematical inverse of the computer graphics problem. The basic structure and motion problems for different feature types are discussed as we...
متن کاملUncertain Geometry with Circles, Spheres and Conics
Spatial reasoning is one of the central tasks in Computer Vision. It always has to deal with uncertain data. Projective geometry has become the working horse for modelling multiple view geometry, while modelling uncertainty with statistical tools has become a standard. Geometric reasoning in projective geometry with uncertain geometric elements has been advocated by Kanatani in the early 90’s, ...
متن کامل