摘要：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
其他摘要：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
关键词：Image compression;Singular value decomposition (SVD)
