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    title: Final Project

    Computed Tomography

    Background

    Introduction

    Computed Tomography (CT) can turn 2d projections of a 3d shape like these (TODO insert image)

    into a 3d model like this (TODO insert image).

    This is pretty cool. In particular, voxels in the computed model can tell you the density at specific locations inside the scanned object, whereas pixels in the projections can only tell you the average density along lines that pass through the object. So we're getting a lot more out of those images than meets the eye.

    How does it work? That's what I'd like to understand. In particular, I hope to clearly explain the basic principles of CT, use them to implement a basic reconstruction from scratch, and experiment with existing solutions to get a sense of the state of the art.

    Theory