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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.

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Mathematics Commons




Masahiko Saito, Mathematics and Statistics

Scott Campbell, Chemical & Biomedical Engineering

Problem Suggested By:

Justin Stottlemyer