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Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Transformation steps: checking if two polygons are equivalent is in itself a trivial process of keeping a cumulative sum of the angles turned. The key insight comes from putting the vertices on a circle, thereby reducing polygons to combinatorial objects (the cyclic permutation of their vertices around.
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332870813
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332870813
Quantità: 15 disponibili
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
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Paperback. Condizione: New. Print on Demand. This book presents a constructive proof of Hopf's theorem, providing a groundbreaking algorithmic approach to untangling closed planar curves. The author's direct proof offers quantitative and complexity information implicit in the result. The text delves into the classication of polygons, utilizing a unique approach that involves transformations such as insertion, deletion, and translation. This work advances the field of computational geometry, providing valuable insights into the behavior of closed curves and their classification. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781332870813_0
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