The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional Autónoma de México
2013
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| _version_ | 1876474512049963008 |
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| author | H. Sánchez-Cruz |
| author_facet | H. Sánchez-Cruz |
| contents | The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects H. Sánchez-Cruz H. Sossa-Azuela U-D Braumann E. Bribiesca Ingeniería octo Euler tetra edges voxels Two new versions of the Euler-Poincaré formula are proposed considering two new defined cuboids: the tetra-voxel and the octo-voxel, without losing information on the number of vertices and edges. The well-known relationship between contact and enclosing surface concepts, as well as the relationships between vertices, edges and enclosing surfaces, allowed us to compute an innovative algorithm for obtaining alternative versions of the Euler-Poincaré formula. This is a very important topological descriptor of 3D binary images. We considered not only topological but geometric aspects. Our method was compared to other proposals, obtaining that our proposed contact surface-based method offers more advantages. 2013 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47426212005 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.11 |
| format | Artículo científico |
| id | redalyc_47426212005 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects H. Sánchez-Cruz Ingeniería octo Euler tetra edges voxels The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects H. Sánchez-Cruz H. Sossa-Azuela U-D Braumann E. Bribiesca Ingeniería octo Euler tetra edges voxels Two new versions of the Euler-Poincaré formula are proposed considering two new defined cuboids: the tetra-voxel and the octo-voxel, without losing information on the number of vertices and edges. The well-known relationship between contact and enclosing surface concepts, as well as the relationships between vertices, edges and enclosing surfaces, allowed us to compute an innovative algorithm for obtaining alternative versions of the Euler-Poincaré formula. This is a very important topological descriptor of 3D binary images. We considered not only topological but geometric aspects. Our method was compared to other proposals, obtaining that our proposed contact surface-based method offers more advantages. 2013 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47426212005 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.11 |
| title | The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects |
| topic | Ingeniería octo Euler tetra edges voxels |
| url | https://www.redalyc.org/articulo.oa?id=47426212005 |