Random Tessellations -- An Overview of Models
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915095885381632 |
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| author | Redenbach, Claudia Jung, Christian |
| author_facet | Redenbach, Claudia Jung, Christian |
| contents | Random tessellations are a prominent class of models in stochastic geometry. In this chapter, we give an overview of mechanisms that have been used to formulate random tessellation models. First, the notion of a random tessellation and basic geometric characteristics of random tessellations are introduced. Then, several model classes are presented. This includes, but is not limited to, Voronoi tessellations and their weighted generalizations, hyperplane tessellations, and STIT tessellations. Simulation of the tessellation models and approaches for model fitting are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05166 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random Tessellations -- An Overview of Models Redenbach, Claudia Jung, Christian Probability 60D05 Random tessellations are a prominent class of models in stochastic geometry. In this chapter, we give an overview of mechanisms that have been used to formulate random tessellation models. First, the notion of a random tessellation and basic geometric characteristics of random tessellations are introduced. Then, several model classes are presented. This includes, but is not limited to, Voronoi tessellations and their weighted generalizations, hyperplane tessellations, and STIT tessellations. Simulation of the tessellation models and approaches for model fitting are also discussed. |
| title | Random Tessellations -- An Overview of Models |
| topic | Probability 60D05 |
| url | https://arxiv.org/abs/2501.05166 |