MC simulation results for projective geometry version of MPD ECAL at NICA collider

Projective Geometry for Image Analysis

Two Results in Computer Vision using Projective Geometry

In the first part of this thesis the problem of metric reconstruction and texture acquisition from a single uncalibrated view of a surface of revolution (SOR) is addressed. Geometric constraints induced in the image by the symmetry properties of the SOR structure are exploited to perform self-calibration of a natural camera, 3D metric reconstruction, texture acquisition & mosaicing and automati...

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...

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...

Projective Geometry Considered Harmful

Methods based on projective geometry have become popular in machine vision because they lead to elegant mathematics, and easy-to-solve linear equations [Longuett-Higgins 81, Hartley 97a, Quan & Lan 99]. It is often not realized that one pays a heavy price for this. Such method do not correctly model the physics of image formation and as a result require more correspondences and are considerably...