DBPapers
DOI: 10.5593/SGEM2014/B23/S10.030

MULTIPLE HOMOGENEOUS COORDINATE TRANSFORMATIONS USED IN PHOTOGRAMMETRY & REMOTE SENSING

G. Popescu
Wednesday 1 October 2014 by Libadmin2014

References: 14th International Multidisciplinary Scientific GeoConference SGEM 2014, www.sgem.org, SGEM2014 Conference Proceedings, ISBN 978-619-7105-12-4 / ISSN 1314-2704, June 19-25, 2014, Book 2, Vol. 3, 239-246 pp

ABSTRACT
This paper describes multiple homogeneous coordinate transformations necessary for interior and exterior (relative and absolute) orientation in analytical and digital photogrammetry & remote sensing. In this paper, I intend to analyze the 3D operations like rotations, translations and scaling which are performed using matrices and lineal algebra in homogeneous coordinates. Each operation is performed by multiplying the 3D vertices by a specific transformation matrix. Using 4x4 transformation matrices allows us to combine rotations, translations, scales and shears into a single matrix. Because a 3D object or scene is composed of a collection of 3D models, which have four different coordinates systems or spaces (Space-global, Space-object, Space-view and Space-screen), the homogeneous transformations presented are referring to the transition from one system to another. The algorithms of the transformations presented are examples of affine transformations which are fast to compute and very useful throughout computer graphics. In the same time, this paper reviews basic philosophy concerning homogenous transformations very useful in the relationship between photogrammetry and computer vision applications.

Keywords: Mathematics, Photogrammetry, Remote Sensing, 2D/3D/4D Modeling