An analytic solution for the perspective 4-point problem

Autor: Bernard Lacolle, Bernard Conio, Oliver Leboulleux, Radu Horaud
Přispěvatelé: Laboratoire d'Informatique Fondamentale et d'Intelligence Artificielle (LIFIA), Institut National Polytechnique de Grenoble (INPG), Modeling, localization, recognition and interpretation in computer vision (MOVI), Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble (GRAVIR - IMAG), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS), TIM3, Institut National Polytechnique de Grenoble (INPG)-Université Joseph Fourier - Grenoble 1 (UJF)-Centre National de la Recherche Scientifique (CNRS), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2003
Předmět:
0209 industrial biotechnology
Mathematical optimization
Polynomial
3D object recognition
Location determination
Robot vision systems
02 engineering and technology
exterior camera calibration
020901 industrial engineering & automation
0202 electrical engineering
electronic engineering
information engineering

Perspective camera
Computer vision
Pencil (mathematics)
General Environmental Science
Mathematics
Scene analysis
Robot kinematics
business.industry
General Engineering
Cognitive neuroscience of visual object recognition
Robotics
Movie camera
location determination
Visual navigation
[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]
Algebra
General Earth and Planetary Sciences
020201 artificial intelligence & image processing
visual navigation
Artificial intelligence
business
Analytic solution
Zdroj: CVPR
Computer Vision Graphics and Image Processing
Computer Vision Graphics and Image Processing, Elsevier, 1989, 47 (1), pp.33--44. ⟨10.1016/0734-189X(89)90052-2⟩
Proceedings Computer Vision and Pattern Recognition
Proceedings Computer Vision and Pattern Recognition, Jun 1989, San-Diego, United States. pp.500--507, ⟨10.1109/CVPR.1989.37893⟩
Computer Vision Graphics and Image Processing, 1989, 47 (1), pp.33--44. ⟨10.1016/0734-189X(89)90052-2⟩
ISSN: 0734-189X
DOI: 10.1109/cvpr.1989.37893
Popis: erratum on Computer Vision, Graphics, and Image Processing, Volume 48, Issue 2, November 1989, Pages 277-278; International audience; The perspective n-point (PnP) problem is the problem of finding the position and orientation of a camera with respect to a scene object from n correspondence points. The authors propose an analytic solution for the perspective 4-point problem. The solution is found by replacing the four points with a pencil of three lines and by exploring the geometric constraints available with the perspective camera model. The P4P problem is cast into the problem of solving a biquadratic polynomial equation in one unknown.
Databáze: OpenAIRE