Date of Award:
5-2009
Document Type:
Dissertation
Degree Name:
Doctor of Philosophy (PhD)
Department:
Mathematics and Statistics
Committee Chair(s)
Jüergen Symanzik
Committee
Jüergen Symanzik
Committee
Adele Cutler
Committee
Donald H. Cooley
Committee
John R. Stevens
Committee
Daniel C. Coster
Abstract
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.
Checksum
1100c7e3f2996360766dda2089f925e3
Recommended Citation
Morphet, William James, "Simulation, Kriging, and Visualization of Circular-Spatial Data" (2009). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 386.
https://digitalcommons.usu.edu/etd/386
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