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3D Reconstruction of the Human Rib Cage from 2D Projection ... - ZIB

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4 SSM-based Geometry <strong>Reconstruction</strong><br />

<strong>from</strong> <strong>2D</strong> <strong>Projection</strong> Images<br />

This chapter describes <strong>the</strong> general reconstruction method used, independently <strong>from</strong><br />

<strong>the</strong> object or anatomy we wish to reconstruct. It presents <strong>the</strong> components <strong>of</strong> <strong>the</strong><br />

SSM-based reconstruction approach. This includes an introduction to statistical<br />

shape models (SSMs) to provide a fundamental understanding <strong>of</strong> how variations<br />

that are typical for a type <strong>of</strong> object can be modeled. Fur<strong>the</strong>rmore, <strong>the</strong> basics <strong>of</strong><br />

projections <strong>of</strong> <strong>3D</strong> objects to <strong>the</strong> <strong>2D</strong> image space are described, which will be applied<br />

to generate projections <strong>of</strong> <strong>the</strong> SSM. Afterwards, details on <strong>the</strong> optimization process<br />

are given.<br />

4.1 <strong>Reconstruction</strong> Process<br />

Below, we describe <strong>the</strong> essential components <strong>of</strong> <strong>the</strong> SSM-based reconstruction method<br />

and <strong>the</strong>ir interaction.<br />

Figure 4.1: Scheme <strong>of</strong> <strong>the</strong> SSM-based reconstruction process (refer to Sect. 4.1 for a detailed<br />

description).<br />

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