Dissertation/Thesis Abstract

Simulation, kriging, and visualization of circular-spatial data
by Morphet, William J., Ph.D., Utah State University, 2009, 391; 3359875
Abstract (Summary)

The circular dataimage is defined by displaying direction as the color at the same direction in a color wheel composed of a sequence of two-color gradients with color continuity between gradients. The resulting image of circular-spatial data is continuous with high resolution. Examples include ocean wind direction, Earth’s main magnetic field, and rocket nozzle internal combustion flow. The cosineogram is defined as the mean cosine of the angle between random components of direction as a function of distance between observation locations. It expresses the spatial correlation of circular-spatial data. A circular kriging solution is developed based on a model fitted to the cosineogram. A method for simulating circular random fields is given based on a transformation of a Gaussian random field. It is adaptable to any continuous probability distribution. Circular random fields were implemented for selected circular probability distributions. An R software package was created with functions and documentation.

Indexing (document details)
Advisor: Symanzik, Juergen
Commitee: Cooley, Donald H., Coster, Daniel C., Cutler, Adele, Stevens, John R.
School: Utah State University
Department: Mathematics and Statistics
School Location: United States -- Utah
Source: DAI-B 70/06, Dissertation Abstracts International
Subjects: Statistics
Keywords: Circular-spatial data, Cosineograms, Kriging, Random fields, Simulation
Publication Number: 3359875
ISBN: 978-1-109-22740-6
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