Global Positioning from a Single Image of a Rectangle in Conical Perspective
Área de conocimiento
Ingeniería de los Procesos de Fabricación; Ingeniería Mecánica;Fecha de publicación
2019-12-10Editorial
MDPICita bibliográfica
Estrems Amestoy, M.; de Francisco Ortiz, Ó. Global Positioning from a Single Image of a Rectangle in Conical Perspective. Sensors 2019, 19, 5432. https://doi.org/10.3390/s19245432Revisión por pares
SIPalabras clave
Conical perspectiveDihedral projection
Positioning
Trigonometry
Resumen
This article presents a method to obtain the overall positioning of the focus of a camera
from an image that includes a rectangle in a fixed reference with known position and dimension.
This technique uses basic principles of descriptive geometry introduced in engineering courses.
The document will first show how to obtain the dihedral projections of a rectangle after three turns
and one translation. Secondly, we will proceed to obtain the image of the rectangle rotated in a conical
perspective, taking the elevation plane as the drawing plane and a specific point in space as the view
point, and represented in the dihedral system. Thirdly, we proceed with the inverse perspective
transformation; we will expose a method to obtain the coordinates in the space of a rectangle obtained
from an image. Finally, we check the method experimentally by taking an image of the rectangle with
a camera in which the coordinates in the drawing plane (center of the image) are the only available
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