3D reconstruction of a vertebra (L4) from SSM and biplanar orthogonal radiographs

[Jearice Mbemba]

Hello Scalismo Community,

I would like to 3D reconstruct a vertebra (L4) by using a shape model created from meshes of patients in a training dataset and by then using biplanar orthogonal radiographs of a specific patient which I would like to reconstruct his vertebra (L4). 

I have achieved the shape model which can be deformed as it follows the Gaussian Process.

I then drew either the 2D contours of the vertebra OR surrounded the vertebra by a bounding box on both (lateral and frontal) radiographs.   

As we know Scalismo produces a imaginary bounding box around the mean shape and provides 2D slices/projections from all 3 planes (x, y , and z)

My Question to you is this: 

How can I match the 2D bounding boxes/or 2D contours I drew on both radiographs with the 2D slices/projections produced by the imaginary bounding box surrounding the 3D model?

Isn't there a way to optimize it too? (minimize the distance error between them)

Are there solutions to make the 2D contours drawn of the vertebra appear on the 2D slices so the 3D shape model can be deformed and its projections can match these contours drawn on the radiographs? What would be the algorithms/code lines to use?

I would be grateful and hope you can help me find an answer to that.

Best regard,

Jearice.