量子GestART:识别和应用数学、艺术和感知组织之间的相关性

IF 0.5 2区 数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Maria Mannone, Federico Favali, Balandino Di Donato, L. Turchet
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引用次数: 12

摘要

数学可以帮助分析艺术,激发新的艺术创作灵感。数学还可以帮助从一种艺术媒介到另一种艺术媒介的转换,考虑到例外和选择,以及艺术家的个人和独特贡献。我们提出了一种基于图解思维和量子形式主义的方法。我们将复杂的形式分解成一组简单的形状,将复杂的图像离散化,并使用狄拉克符号,想象一个“原型”的世界,这些“原型”可以连接起来,以获得给定视觉图像的精细或粗粒度近似。视觉原型与听觉原型相互交换,表征视觉原型的信息(位置、大小)与表征听觉原型的信息(起跳、持续时间、响度、音高范围)相互关联。该主题在哲学辩论(明显不相关的对象的离散和比较)中被语境化,它通过数学形式主义发展,并导致编程,激发跨学科思维并点燃STEAM中的创造力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization
Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of “prototypes” that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is connected with the information (onset, duration, loudness, pitch range) characterizing auditory prototypes. The topic is contextualized within a philosophical debate (discreteness and comparison of apparently unrelated objects), it develops through mathematical formalism, and it leads to programming, to spark interdisciplinary thinking and ignite creativity within STEAM.
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来源期刊
Journal of Mathematics and Music
Journal of Mathematics and Music 数学-数学跨学科应用
CiteScore
1.90
自引率
18.20%
发文量
18
审稿时长
>12 weeks
期刊介绍: Journal of Mathematics and Music aims to advance the use of mathematical modelling and computation in music theory. The Journal focuses on mathematical approaches to musical structures and processes, including mathematical investigations into music-theoretic or compositional issues as well as mathematically motivated analyses of musical works or performances. In consideration of the deep unsolved ontological and epistemological questions concerning knowledge about music, the Journal is open to a broad array of methodologies and topics, particularly those outside of established research fields such as acoustics, sound engineering, auditory perception, linguistics etc.
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