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Jon-Magnus Rosenblad: Rule-based surface- and volume reconstruction (with real-world applications)

Time: Fri 2023-05-05 15.15 - 16.00

Location: 3721

Video link: Zoom meeting ID: 686 7101 5535

Participating: Jon-Magnus Rosenblad, KTH

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[Note: this talk was originally planned for April 28th but has been moved to May 5th]

Origami is the art of folding a flat sheet of paper into 3-dimensional shapes. It is mostly an artistic endeavour requiring a vast amount of creativity, but also skill and intuition. Non-origamists lacking the aforementioned characteristics have wanted to create similarly magnificent sculptures of paper with minimal user design choices. Quite rigorous algorithms and techniques, such as box-pleating and uniaxial tree bases exist for designing “bases” for origami figures, however quite a lot of creativity and a skill is still required to make these bases resemble then desired motif. Luckily, due to the work of Tachi and Demaine, we can fold any oriented polyhedral surface without the user hasten to make choices or give creative input.

We will briefly cover the classical techniques of box-pleating and the TreeMaker algorithm of Lang (1996), but most of the talk is devoted to the original algorithm of Tachi (2010) for folding polyhedral surfaces, how it is simplified by allowing cuts (kirigami) and how it is improved by the joint work for Demaine and Tachi (2017).