Reshaping Convex Polyhedra
The focus of this monograph is converting—reshaping—one 3D convex polyhedron to another via an operation the authors call “tailoring.” A convex polyhedron is a gem-like shape composed of flat facets, the focus of study since Plato and Euclid. The tailoring operation snips off a corner (a “vertex”) o...
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| Автори: | , |
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| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Редагування: | 1st ed. 2024. |
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-47511-5 |
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Зміст:
- I. Tailoring for Every Body
- 1. Introduction to Part I
- 2. Preliminaries
- 3. Domes and Pyramids
- 4. Tailoring via Sculpting
- 5. Pyramid Seal Graph
- 6. Algorithms for Tailoring via Sculpting
- 7. Crests
- 8. Tailoring via Flattening
- 9. Applications of Tailoring
- II. Vertex-Merging and Convexity
- 10. Introduction to Part II
- 11. Vertex-Merging Reductions and Slit Graphs
- 12. Planar Spiral Slit Tree
- 13. Convexity on Convex Polyhedra
- 14. Minimal-length Enclosing Polygon
- 15. Spiral Tree on Polyhedron
- 16. Unfolding via Slit Trees
- 17. Vertices on Quasigeodesics
- 18. Conclusions
- Bibliography
- References
- Index.