Chapter 4
Local, Regional, and Global Coordinate Transformations
Publication: Surveying and Geomatics Engineering: Principles, Technologies, and Applications
Abstract
This chapter provides an overview of a wide range of coordinate transformations used in surveying engineering. These transformations include transformation of coordinates, which can range from modifications of a local planar system for a project site to complex geodetic operations at a continental or global scale. Three-dimensional data collection techniques, usually used in modern surveying with equipment such as total stations, Global Navigation Satellite Systems, and laser scanners are evaluated. Also discussed are applications of horizontal coordinates; this mathematical operation is often performed so that one set of coordinates can be made to match another set. The four-parameter, two-dimensional transformation can be generalized to allow scale to vary with direction, as well as to allow skewing of the coordinate axes, to create a horizontal 6-parameter affine transformation. Finally, grid-based transformations are described; these consist of regular grids of coordinate differences where the differences at locations between grid points are interpolated.
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Published In
Surveying and Geomatics Engineering: Principles, Technologies, and Applications
Pages: 85 - 133
Editors: Daniel T. Gillins, Ph.D., Michael L. Dennis, Ph.D., and Allan Y. Ng
ISBN (Print): 978-0-7844-1603-7
ISBN (Online): 978-0-7844-8400-5
Copyright
© 2022 American Society of Civil Engineers.
History
Published online: Jun 8, 2022
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