Journal ArticleDOI
In defense of the eight-point algorithm
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This paper shows that by preceding the eight-point algorithm with a very simple normalization (translation and scaling) of the coordinates of the matched points, results are obtained comparable with the best iterative algorithms.Abstract:
The fundamental matrix is a basic tool in the analysis of scenes taken with two uncalibrated cameras, and the eight-point algorithm is a frequently cited method for computing the fundamental matrix from a set of eight or more point matches. It has the advantage of simplicity of implementation. The prevailing view is, however, that it is extremely susceptible to noise and hence virtually useless for most purposes. This paper challenges that view, by showing that by preceding the algorithm with a very simple normalization (translation and scaling) of the coordinates of the matched points, results are obtained comparable with the best iterative algorithms. This improved performance is justified by theory and verified by extensive experiments on real images.read more
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Multiple View Geometry in Computer Vision.
TL;DR: This book is referred to read because it is an inspiring book to give you more chance to get experiences and also thoughts and it will show the best book collections and completed collections.
Journal ArticleDOI
Modeling the World from Internet Photo Collections
TL;DR: This paper presents structure-from-motion and image-based rendering algorithms that operate on hundreds of images downloaded as a result of keyword-based image search queries like “Notre Dame” or “Trevi Fountain,” and presents these algorithms and results as a first step towards 3D modeled sites, cities, and landscapes from Internet imagery.
Journal ArticleDOI
An efficient solution to the five-point relative pose problem
TL;DR: The algorithm is used in a robust hypothesize-and-test framework to estimate structure and motion in real-time with low delay and is the first algorithm well-suited for numerical implementation that also corresponds to the inherent complexity of the problem.
Journal ArticleDOI
Visual Modeling with a Hand-Held Camera
Marc Pollefeys,Luc Van Gool,Maarten Vergauwen,Frank Verbiest,Kurt Cornelis,Jan Tops,Reinhard Koch +6 more
TL;DR: A complete system to build visual models from camera images is presented and a combined approach with view-dependent geometry and texture is presented, as an application fusion of real and virtual scenes is also shown.
Proceedings ArticleDOI
An efficient solution to the five-point relative pose problem
TL;DR: An efficient algorithmic solution to the classical five-point relative pose problem is presented, which is the first algorithm well suited for numerical implementation that also corresponds to the inherent complexity of the problem.
References
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Book
Numerical Recipes in C: The Art of Scientific Computing
TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
Journal ArticleDOI
Numerical Recipes in C: The Art of Scientific Computing
Mary C. Seiler,Fritz A. Seiler +1 more
Numerical Recipes in FORTRAN - The Art of Scientific Computing - Second Edition
TL;DR: This paper presents a list of recommended recipes for making CDRom decks and some examples of how these recipes can be modified to suit theommelier's needs.
Journal ArticleDOI
Numerical recipes in C. The art of scientific computing
Journal ArticleDOI
A computer algorithm for reconstructing a scene from two projections
TL;DR: A simple algorithm for computing the three-dimensional structure of a scene from a correlated pair of perspective projections is described here, when the spatial relationship between the two projections is unknown.