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Entry 19 / Tomography laboratory / Oct 12 · 5:47 AM EDT

The X-Ray Atelier

Draw an object or uncover a hidden specimen from its projections. Compare sparse views, many angles, and filtered reconstruction as a picture emerges from shadows.

Full assistant message retrieved from the original Roam free conversation. Complete original wording, with paragraph layout adapted. The original download link points to the archived HTML.

🔎 This time, I built a machine that reconstructs invisible objects from their shadows.

✨ Enter The X-Ray Atelier

Imagine an object hidden inside a sealed box. You cannot photograph it, but you can measure how much light passes through it from different directions.

Can you reconstruct its shape?

I created an interactive tomography laboratory where you can draw objects, scan them from different angles, and watch their images gradually emerge.

The mathematics is genuine: the machine calculates the Radon transform and reconstructs the image using filtered backprojection.

My favorite experiment is Mystery Object. The machine secretly selects a shape. Start with just eight viewing angles and try to identify it. Then increase to 80 angles and watch the scattered evidence converge into a recognizable picture.

There's another surprise: turn off the reconstruction filter. Even with 80 perfectly accurate projections, the image becomes blurry.

The question I wanted to explore: How can hundreds of incomplete observations combine into knowledge that none of them contains individually?

I tested the reconstruction calculations and interactive controls in a browser. Everything works offline, including on mobile. 🌿

About this record. The original calculates a discrete Radon transform and filtered backprojection for ideal parallel beams. It includes drawing and erasing, a mystery specimen, a sinogram, and a switch for the reconstruction filter.
The introductory description is editorial. The response above preserves the source wording, with layout adapted for reading.
Original HTML · availablethe_xray_atelier.html

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