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Using Mathematics to Repair a Masterpiece (2016)
- LoSboccacc 8y agowell yes we have the technology to redo all those art pieces from scratch and enjoy them in their fullest, but at which point it's just a reconstruction (or an elaborate picture) of the original? without going all "Ship of Theseus" on this, age and decay is part of those masterpieces quality; most of them were cracked and wrinkly just months after delivery and their defects are integral part of the art.
- kaitai 8y agoDaubechies has done some really cool work in math. She's probably best known in math for work in wavelet/image compression/signal processing and inverse problems. Here's an abstract for a talk that gives you a better idea of related work of hers bearing on both evolution/biology and art: https://www.ece.uw.edu/lytle/2012-ingrid-daubechies-lytle/ https://www.ece.uw.edu/lytle/2012-ingrid-daubechies-lytle/ Apparently this work on distance metrics can be applied to work backward from "mathematical distance between teeth" to "what did extinct animals eat?". It's interesting to watch her expand from traditional applied math (analysis) to increasing interaction with machine learning techniques. She's doing a lot with neural nets now, bringing this understanding of geometry and analysis to try to (for instance) reduce 'memorization' by neural nets and instead increase pattern recognition.
- dzdt 8y agoThe crack-finding and inpainting described is detailed in the academic paper at https://services.math.duke.edu/~ingrid/publications/Lam_Gods_crack_detection_inpainting.pdf https://services.math.duke.edu/~ingrid/publications/Lam_Gods... This includes nice pictures of the painting in question, which doesn't appear at all in the originally linked article.