Matrices: un modelo para las fotografías digitales
[EN] In this work we emphasize the relationship between two -apparently very different- disciplines: digital photography and mathematics. In fact, digital images -that everybody handles nowadays- are mathematically modeled by matrices. Moreover, all the manipulations over digital pictures can be exp...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | español |
| OAI Identifier: | oai:riunet.upv.es:10251/100927 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/100927 |
| Access Level: | acceso abierto |
| Palavra-chave: | Image compression Singular value decomposition (SVD) |
| Resumo: | [EN] In this work we emphasize the relationship between two -apparently very different- disciplines: digital photography and mathematics. In fact, digital images -that everybody handles nowadays- are mathematically modeled by matrices. Moreover, all the manipulations over digital pictures can be expressed by means of matricial operations. In particular, here we set a problem of compression of digital images, based in the SVD (singular value decomposition), a concept learnt by the students of Linear Algebra courses. In this way, the students discover, by themselves, some important issues that teachers want to transmit to them: on one hand, that the theoretical concepts of Linear Algebra are directly applied to the technology that surrounds them everyday in our digital world; on the other hand, how mathematical modelization provides a powerful tool for the resolution of real practical problems. |
|---|