The partial differential equations behind virtual flight and image restoration

Mathematics Can Make You Fly? - Dr Carola-Bibiane Schonlieb · 54:35 · Video: Gresham College · Watch at the source

In short: Dr. Carola-Bibiane Schonlieb explores how the same mathematical principles used to create the illusion of flight in cinema also power high-stakes technology like satellite imaging and medical diagnostics.

The lecture examines how partial differential equations enable virtual image manipulation and restoration. While it explains the mechanics behind cinematic special effects, the core focus is on the versatility of these equations in reconstructing lost data.

Beyond entertainment, these principles are applied to renovate digital photographs, restore medieval artwork, and enhance molecular imaging (MR images). They are also critical for reconstructing essential information in satellite imagery of the Earth.

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