论文标题
让绘画播放
Let the paintings play
论文作者
论文摘要
在本文中，我们介绍了一种数学方法来提取绘画和音乐曲目之间的相似性。我们的方法基于绘画和音乐轨道的数字化，通过正交基础功能（具有傅立叶和小波底座）的有限扩展。特定绘画和来自给定作曲家的音乐曲目样本之间的最佳拟合度是通过有限维子空间的$ l^2 $投影实现的。提供了几个示例，用于分析意大利艺术家Marcello Morandini的艺术品集。最后，我们开发了一个原始的小程序，可以实现上述过程，并且可以从网站https://github.com/pgerva/playing-paintings.git免费下载。
In this paper, we introduce a mathematical method to extract similarities between paintings and musical tracks. Our approach is based on the digitalization of both paintings and musical tracks by means of finite expansions in terms of orthogonal basis functions (with both Fourier and wavelet bases). The best fit between a specific painting and a sample of musical tracks from a given composer is achieved via an $L^2$ projection upon a finite-dimensional subspace. Several examples are provided for the analysis of a collection of works of art by the Italian artist Marcello Morandini. Finally, we have developed an original applet that implements the process above and which can be freely downloaded from the site https://github.com/pgerva/playing-paintings.git
