The purpose of this project is to develop a mathematical model to study 4D (three spatial dimensions plus density) shapes using 3D projections. In the model, the projection is represented as a function that can be applied to data produced by a radiation detector. The projection is visualized as a three-dimensional graph where x and y coordinates represent position and the z coordinate corresponds to the object's density and thickness. Contour plots of such 3D graphs can be used to construct traditional 2D radiographic images.
This article was previously called Article 28.
"Radiographic Imagery of a Variable Density 3D Object,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 16.
DOI: http://dx.doi.org/10.5038/2326-3622.214.171.124 Available at: http://scholarcommons.usf.edu/ujmm/vol3/iss1/28
Masahiko Saito, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering