Reshaping Convex Polyhedra
Reshaping Convex Polyhedra
O'Rourke, Joseph; Vilcu, Costin
Springer International Publishing AG
02/2024
243
Dura
Inglês
9783031475108
15 a 20 dias
Descrição não disponível.
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.
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Alexandrov Gluing Theorem;tailoring operation;convex polyhedra;vertex-merging;digon-tailoring
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.